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16043Higher-Dimensional Algebraic Geometry (Universitext)
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The classification theory of algebraic varieties is the focus of this book. This very active area of research is still developing, but an amazing quantity of knowledge has accumulated over the past twenty years. The authors goal is to provide an easily accessible introduction to the subject. The book starts with preparatory and standard definitions and results, then moves on to discuss various aspects of the geometry of smooth projective varieties with many rational curves, and finishes in taking the first steps towards Moris minimal model program of classification of algebraic varieties by proving the cone and contraction theorems. The book is well-organized and the author has kept the number of concepts that are used but not proved to a minimum to provide a mostly self-contained introduction.
Read more... ]]>Tue, 07 Apr 2020 17:04:35 GMTMathematik fur Informatiker
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Dieses Buch entstand ausgehend von der Frage, welche Mathematik Informatiker wirklich brauchen. Es vermittelt das mathematische Handwerkszeug fundiert und mathematisch przise. Zugleich macht es deutlich, an welchen Stellen Sie dieses Wissen als Informatiker brauchen werden. Die groe Anzahl von bungsaufgaben hilft Ihnen, sich ganz gezielt auf Prfungen vorzubereiten. Read more... ]]>Tue, 07 Apr 2020 16:29:08 GMTIntegral and Integrodifferential Equations: Theory, Methods and Applications
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This collection of 24 papers, which encompasses the construction and the qualitative as well as quantitative properties of solutions of Volterra, Fredholm, delay, impulse integral and integro-differential equations in various spaces on bounded as well as unbounded intervals, will conduce and spur further research in this direction. Read more... ]]>Tue, 07 Apr 2020 15:57:18 GMTToroidalization of Dominant Morphisms of 3-folds (Memoirs of the American Mathematical Society)
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Series: Memoirs of the American Mathematical Society (Book 890)
Paperback: 222 pages
Publisher: Amer Mathematical Society (October 15, 2007)
Language: English
ISBN-10: 0821839985
ISBN-13: 978-0821839980 Read more... ]]>Tue, 07 Apr 2020 15:19:36 GMTMorphisms for Quantitative Spatial Analysis (Advanced Studies in Theoretical and Applied Econometrics Book 51)
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This book treats the notion of morphisms in spatial analysis, paralleling these concepts in spatial statistics (Part I) and spatial econometrics (Part II). The principal concept is morphism (e.g., isomorphisms, homomorphisms, and allomorphisms), which is defined as a structure preserving the functional linkage between mathematical properties or operations in spatial statistics and spatial econometrics, among other disciplines. The purpose of this book is to present selected conceptions in both domains that are structurally the same, even though their labelling and the notation for their elements may differ. As the approaches presented here are applied to empirical materials in geography and economics, the book will also be of interest to scholars of regional science, quantitative geography and the geospatial sciences. It is a follow-up to the book “Non-standard Spatial Statistics and Spatial Econometrics” by the same authors, which was published by Springer in 2011.
Read more... ]]>Tue, 07 Apr 2020 15:16:47 GMTMonomialization of Morphisms from 3 Folds to Surfaces
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A morphism of algebraic varieties (over a field characteristic 0) is monomial if it can locally be represented in e'tale neighborhoods by a pure monomial mappings. The book gives proof that a dominant morphism from a nonsingular 3-fold X to a surface S can be monomialized by performing sequences of blowups of nonsingular subvarieties of X and S.
The construction is very explicit and uses techniques from resolution of singularities. A research monograph in algebraic geometry, it addresses researchers and graduate students.
Read more... ]]>Tue, 07 Apr 2020 15:13:08 GMTCyclic Homology in Non-Commutative Geometry (Encyclopaedia of Mathematical Sciences (121))
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Contributions by three authors treat aspects of noncommutative geometry that are related to cyclic homology. The authors give rather complete accounts of cyclic theory from different points of view. The connections between (bivariant) K-theory and cyclic theory via generalized Chern-characters are discussed in detail. Cyclic theory is the natural setting for a variety of general abstract index theorems. A survey of such index theorems is given and the concepts and ideas involved in these theorems are explained.
Read more... ]]>Tue, 07 Apr 2020 15:08:33 GMTEnriques Surfaces I (Progress in Mathematics)
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This is the first of two volumes representing the current state of knowledge about Enriques surfaces which occupy one of the classes in the classification of algebraic surfaces. Recent improvements in our understanding of algebraic surfaces over fields of positive characteristic allowed us to approach the subject from a completely geometric point of view although heavily relying on algebraic methods. Some of the techniques presented in this book can be applied to the study of algebraic surfaces of other types. We hope that it will make this book of particular interest to a wider range of research mathematicians and graduate students. Acknowledgements. The undertaking of this project was made possible by the support of several institutions. Our mutual cooperation began at the University of Warwick and the Max Planck Institute of Mathematics in 1982/83. Most of the work in this volume was done during the visit of the first author at the University of Michigan in 1984-1986. The second author was supported during all these years by grants from the National Science Foundation.
Read more... ]]>Tue, 07 Apr 2020 15:03:22 GMTGrothendieck Duality and Base Change (Lecture Notes in Mathematics)
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Grothendieck's duality theory for coherent cohomology is a fundamental tool in algebraic geometry and number theory, in areas ranging from the moduli of curves to the arithmetic theory of modular forms. Presented is a systematic overview of the entire theory, including many basic definitions and a detailed study of duality on curves, dualizing sheaves, and Grothendieck's residue symbol. Along the way proofs are given of some widely used foundational results which are not proven in existing treatments of the subject, such as the general base change compatibility of the trace map for proper Cohen-Macaulay morphisms (e.g., semistable curves). This should be of interest to mathematicians who have some familiarity with Grothendieck's work and wish to understand the details of this theory. Read more... ]]>Tue, 07 Apr 2020 14:58:38 GMTOperator Analysis: Hilbert Space Methods in Complex Analysis
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This book shows how operator theory interacts with function theory in one and several variables. The authors develop the theory in detail, leading the reader to the cutting edge of contemporary research. It starts with a treatment of the theory of bounded holomorphic functions on the unit disc. Model theory and the network realization formula are used to solve Nevanlinna-Pick interpolation problems, and the same techniques are shown to work on the bidisc, the symmetrized bidisc, and other domains. The techniques are powerful enough to prove the Julia-Carathodory theorem on the bidisc, Lempert's theorem on invariant metrics in convex domains, the Oka extension theorem, and to generalize Loewner's matrix monotonicity results to several variables. In Part II, the book gives an introduction to non-commutative function theory, and shows how model theory and the network realization formula can be used to understand functions of non-commuting matrices. Read more... ]]>Tue, 07 Apr 2020 11:09:21 GMTStatistics and Probability
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Details the basics of statistics and probability, covering such topics as sampling, distributions, and correlations. Read more... ]]>Tue, 07 Apr 2020 10:25:20 GMTNoncommutative Geometry: Lectures given at the C.I.M.E. Summer School held in Martina Franca, Italy, September 3-9, 2000 (Lecture Notes in Mathematics)
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Noncommutative Geometry is one of the most deep and vital research subjects of present-day Mathematics. Its development, mainly due to Alain Connes, is providing an increasing number of applications and deeper insights for instance in Foliations, K-Theory, Index Theory, Number Theory but also in Quantum Physics of elementary particles. The purpose of the Summer School in Martina Franca was to offer a fresh invitation to the subject and closely related topics the contributions in this volume include the four main lectures, cover advanced developments and are delivered by prominent specialists.
Read more... ]]>Tue, 07 Apr 2020 09:27:50 GMTModel Theory and Algebraic Geometry: An introduction to E. Hrushovski's proof of the geometric Mordell-Lang conjecture (Lecture Notes in Mathematics)
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Introduction Model theorists have often joked in recent years that the part of mathemat ical logic known as "pure model theory" (or stability theory), as opposed to the older and more traditional "model theory applied to algebra" , turns out to have more and more to do with other subjects ofmathematics and to yield gen uine applications to combinatorial geometry, differential algebra and algebraic geometry. We illustrate this by presenting the very striking application to diophantine geometry due to Ehud Hrushovski: using model theory, he has given the first proof valid in all characteristics of the "Mordell-Lang conjecture for function fields" (The Mordell-Lang conjecture for function fields, Journal AMS 9 (1996), 667-690). More recently he has also given a new (model theoretic) proof of the Manin-Mumford conjecture for semi-abelian varieties over a number field. His proofyields the first effective bound for the cardinality ofthe finite sets involved (The Manin-Mumford conjecture, preprint). There have been previous instances of applications of model theory to alge bra or number theory, but these appl~cations had in common the feature that their proofs used a lot of algebra (or number theory) but only very basic tools and results from the model theory side: compactness, first-order definability, elementary equivalence...
Read more... ]]>Tue, 07 Apr 2020 09:25:49 GMTMathematical Programming and Financial Objectives for Scheduling Projects
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Mathematical Programming and Financial Objectives for Scheduling Projects focuses on decision problems where the performance is measured in terms of money. As the title suggests, special attention is paid to financial objectives and the relationship of financial objectives to project schedules and scheduling. In addition, how schedules relate to other decisions is treated in detail. The book demonstrates that scheduling must be combined with project selection and financing, and that scheduling helps to give an answer to the planning issue of the amount of resources required for a project. The author makes clear the relevance of scheduling to cutting budget costs.
The book is divided into six parts. The first part gives a brief introduction to project management. Part two examines scheduling projects in order to maximize their net present value. Part three considers capital rationing. Many decisions on selecting or rejecting a project cannot be made in isolation and multiple projects must be taken fully into account. Since the requests for capital resources depend on the schedules of the projects, scheduling taken on more complexity. Part four studies the resource usage of a project in greater detail. Part five discusses cases where the processing time of an activity is a decision to be made. Part six summarizes the main results that have been accomplished. Read more... ]]>Tue, 07 Apr 2020 08:54:01 GMTOptimization, Control, and Applications of Stochastic Systems
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This volume provides a general overview of discrete- and continuous-time Markov control processes and stochastic games, along with a look at the range of applications of stochastic control and some of its recent theoretical developments. These topics include various aspects of dynamic programming, approximation algorithms, and infinite-dimensional linear programming. In all, the work comprises 18 carefully selected papers written by experts in their respective fields. Optimization, Control, and Applications of Stochastic Systems will be a valuable resource for all practitioners, researchers, and professionals in applied mathematics and operations research who work in the areas of stochastic control, mathematical finance, queueing theory, and inventory systems. It may also serve as a supplemental text for graduate courses in optimal control and dynamic games. Read more... ]]>Tue, 07 Apr 2020 08:49:30 GMTDer Graf der Graphen: Kriminalistische Verwicklungen mit mathematischer Pointe [German]
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Rtselhafte Ereignisse sind Gegenstand der Ermittlungen von Maurice Manori Kriminalinspektor alias Agrapheur (Graf der Graphen). Den Spitznamen verdankt er seinen ebenso effizienten wie unkonventionellen Methoden. In der Tat verfgt er ber ein furchterregendes Werkzeug zur Ergreifung der Schuldigen in seinen Kriminalfllen: die Graphentheorie. Auf der Suche nach der Wahrheit reit er Sie mit in die Untiefen dieser mathematischen Disziplin mit vielfltigen Anwendungen. Das vorliegende Buch ist ein wunderbares Werkzeug zur populrwissenschaftlichen Verbreitung dieser noch recht unbekannten Theorie, mit deren Hilfe verschiedenste Alltagssituationen modelliert werden knnen. Durch seinen spielerischen Ansatz spricht das Buch Sudoku- und Rtselfreunde ebenso an wie Studierende und Lehrende der Mathematik und Naturwissenschaften, die im Online Plus Service von Vieweg+Teubner alle mathematischen Details nachlesen knnen. Read more... ]]>Tue, 07 Apr 2020 08:44:40 GMTMorse Theory and Floer Homology
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This book is an introduction to modern methods of symplectic topology. It is devoted to explaining the solution of an important problem originating from classical mechanics: the 'Arnold conjecture', which asserts that the number of 1-periodic trajectories of a non-degenerate Hamiltonian system is bounded below by the dimension of the homology of the underlying manifold.
The first part is a thorough introduction to Morse theory, a fundamental tool of differential topology. It defines the Morse complex and the Morse homology, and develops some of their applications.
Morse homology also serves a simple model for Floer homology, which is covered in the second part. Floer homology is an infinite-dimensional analogue of Morse homology. Its involvement has been crucial in the recent achievements in symplectic geometry and in particular in the proof of the Arnold conjecture. The building blocks of Floer homology are more intricate and imply the use of more sophisticated analytical methods, all of which are explained in this second part.
The three appendices present a few prerequisites in differential geometry, algebraic topology and analysis.
The book originated in a graduate course given at Strasbourg University, and contains a large range of figures and exercises. Morse Theory and Floer Homology will be particularly helpful for graduate and postgraduate students. Read more... ]]>Tue, 07 Apr 2020 08:33:28 GMTOverconvergence in Complex Approximation
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This monograph deals with the quantitative overconvergence phenomenon in complex approximation by various operators. The book is divided into three chapters. First, the results for the Schurer-Faber operator, Beta operators of first kind, Bernstein-Durrmeyer-type operators and Lorentz operator are presented. The main focus is on results for several q-Bernstein kind of operators with q > 1, when the geometric order of approximation 1/qn is obtained not only in complex compact disks but also in quaternion compact disks and in other compact subsets of the complex plane. The focus then shifts to quantitative overconvergence and convolution overconvergence results for the complex potentials generated by the Beta and Gamma Euler's functions. Finally quantitative overconvergence results for the most classical orthogonal expansions (of Chebyshev, Legendre, Hermite, Laguerre and Gegenbauer kinds) attached to vector-valued functions are presented. Each chapter concludes with a notes and open problems section, thus providing stimulation for further research. An extensive bibliography and index complete the text.
This book is suitable for researchers and graduate students working in complex approximation and its applications, mathematical analysis and numerical analysis. Read more... ]]>Tue, 07 Apr 2020 07:31:43 GMTStudent Solutions Manual to accompany Complex Variables and Applications
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Student Solutions Manual for use with Complex Variables and Applications, 7th edition. Selected solutions to exercises in chapters 1-7. Read more... ]]>Tue, 07 Apr 2020 07:28:21 GMTStochastic Reachability Analysis of Hybrid Systems
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Stochastic reachability analysis (SRA) is a method of analyzing the behavior of control systems which mix discrete and continuous dynamics. For probabilistic discrete systems it has been shown to be a practical verification method but for stochastic hybrid systems it can be rather more. As a verification technique SRA can assess the safety and performance of, for example, autonomous systems, robot and aircraft path planning and multi-agent coordination but it can also be used for the adaptive control of such systems. Stochastic Reachability Analysis of Hybrid Systems is a self-contained and accessible introduction to this novel topic in the analysis and development of stochastic hybrid systems. Beginning with the relevant aspects of Markov models and introducing stochastic hybrid systems, the book then moves on to coverage of reachability analysis for stochastic hybrid systems. Following this build up, the core of the text first formally defines the concept of reachability in the stochastic framework and then treats issues representing the different faces of SRA: stochastic reachability based on Markov process theory martingale methods stochastic reachability as an optimal stopping problem and dynamic programming. The book is rounded off by an appendix providing mathematical underpinning on subjects such as ordinary differential equations, probabilistic measure theory and stochastic modeling, which will help the non-expert-mathematician to appreciate the text. Stochast Read more... ]]>Tue, 07 Apr 2020 07:23:03 GMTPerspectives in Analysis, Geometry, and Topology
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The articles in this volume are invited papers from the Marcus Wallenberg symposium and focus on research topics that bridge the gap between analysis, geometry, and topology. The encounters between these three fields are widespread and often provide impetus for major breakthroughs in applications. Topics include new developments in low dimensional topology related to invariants of links and three and four manifolds Perelman's spectacular proof of the Poincare conjecture and the recent advances made in algebraic, complex, symplectic, and tropical geometry. Read more... ]]>Tue, 07 Apr 2020 07:22:11 GMTClifford Algebras and Lie Theory
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This monograph provides an introduction to the theory of Clifford algebras, with an emphasis on its connections with the theory of Lie groups and Lie algebras. The book starts with a detailed presentation of the main results on symmetric bilinear forms and Clifford algebras. It develops the spin groups and the spin representation, culminating in Cartans famous triality automorphism for the group Spin(8). The discussion of enveloping algebras includes a presentation of Petraccis proof of the PoincarBirkhoffWitt theorem. This is followed by discussions of Weil algebras, ChernWeil theory, the quantum Weil algebra, and the cubic Dirac operator. The applications to Lie theory include Duflos theorem for the case of quadratic Lie algebras, multiplets of representations, and Dirac induction. The last part of the book is an account of Kostants structure theory of the Clifford algebra over a semisimple Lie algebra. It describes his Clifford algebra analogue of the HopfKoszulSamelson theorem, and explains his fascinating conjecture relating the Harish-Chandra projection for Clifford algebras to the principal sl(2) subalgebra. Aside from these beautiful applications, the book will serve as a convenient and up-to-date reference for background material from Clifford theory, relevant for students and researchers in mathematics and physics. Read more... ]]>Tue, 07 Apr 2020 07:20:46 GMTSensors Theory, Algorithms, and Applications
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The objective of this book is to advance the current knowledge of sensor research particularly highlighting recent advances, current work, and future needs. The goal is to share current technologies and steer future efforts in directions that will benefit the majority of researchers and practitioners working in this broad field of study. Read more... ]]>Tue, 07 Apr 2020 07:09:29 GMTMathematical Modelling with Case Studies
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Focusing on growth and decay processes, interacting populations, and heating/cooling problems, Mathematical Modelling with Case Studies: A Differential Equations Approach using Maple and MATLAB, Second Edition presents mathematical techniques applicable to models involving differential equations that describe rates of change. Although the authors concentrate on models involving differential equations, the ideas used can be applied to many other areas.
The book carefully details the process of constructing a model, including the conversion of a seemingly complex problem into a much simpler one. It uses flow diagrams and word equations to aid in the model building process and to develop the mathematical equations. Employing theoretical, graphical, and computational tools, the authors analyze the behavior of the models under changing conditions. They discuss the validation of the models and suggest extensions to the models with an emphasis on recognizing the strengths and limitations of each model.
Through applications and the tools of Maple and MATLAB, this textbook provides hands-on model building skills. It develops, extends, and improves simple models as well as interprets the results. Read more... ]]>Tue, 07 Apr 2020 07:01:09 GMTIntermediate Algebra with P.O.W.E.R. Learning
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After having written five developmental algebra textbooks, I decided to team up with Larry Perez from Saddleback College in California to write a paperback series beginning with Basic College Math or arithmetic. We know, first-hand, that teaching developmental mathematics is about so much more than the math. Today, many of our students are also in developmental reading and/or writing courses, so they don't read well. Many students are poor note-takers, do not know how to read/use a textbook, have poor study skills, and have never learned time-management skills. Instructors know that a major reason for high failure rates in developmental math courses is due to the fact that many of our students do not know how to be college students. They don't want to fail, they just don't know how to succeed! Larry and I have adapted what we do in the classroom to try to address the non-math needs of our students. But, we wondered, how can we do this in a textbook? Enter P.O.W.E.R.. P.O.W.E.R. is a five-step process to promote learning and critical thinking. Each step in the processPrepare, Organize, Work, Evaluate, and Rethinkprovides students with a proven framework that will help them achieve academic success. P.O.W.E.R. maximizes the success of students by using a research-based "best practices" approach. It is a scientifically-based framework promoting student success, with each step in the process based on empirical research findings related to students' academic performance in a colle Read more... ]]>Tue, 07 Apr 2020 05:31:57 GMT30-Second Numbers: The 50 key topics for understanding numbers and how we use them
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Full of fascinating facts about numbers and how they are used, 30-Second Numbers demystifies the world of counting, measuring, ordering, calculating and many other applications of numbers.
We know that we use numbers pretty often, some of us confidently, others reluctantly. But are you aware of just how essential they are to almost every decision we make? Counting and measuring when we’re shopping, travelling, studying or playing are just the beginning the applications of numbers are endless, from assessing variables and analysing data to the calculations and predictions of advanced artificial intelligence.
30-Second Numbers explores number categories, the science of measuring, how guesstimates work, and the visualisation of numbers, taking you behind the digits into the world of statistics, probability, risk and ratios. Numbers are our way of imposing order on the world, and each of the 50 topics here uses just 300 words and one picture to give you a sense of control, helping you to understand trends in statistical data, how algorithms are used and the methods involved in machine learning. Numbers need never be daunting again. Read more... ]]>Mon, 06 Apr 2020 21:11:13 GMTTheory and Detection of Magnetic Monopoles in Gauge Theories: A Collected Set of Lecture Notes
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These lecture notes discusses the developments both in the theoretical understanding of the physics and mathematics of magnetic monopoles as well as the ways in which they can be detected experimentally.The subject has now become highly interdisciplinary and recent monopole meetings have attracted participants from low temperature physics at one extreme to cosmology at the other. Read more... ]]>Mon, 06 Apr 2020 21:05:53 GMTHigher Algebra: Classical
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English | 348 pages | Levant Books (2019) | 9789380663234 | PDF | 164 Mb Read more... ]]>Mon, 06 Apr 2020 20:57:42 GMTAlgebra: A Combined Approach
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Elayn Martin-Gay firmly believes that every student can succeed, and her developmental math textbooks and video resources are motivated by this belief. Algebra: A Combined Approach , Fourth Edition was written to provide students with a solid foundation in algebra and help them effectively transition to their next mathematics course. The new edition offers new resources like the Student Organizer and now includes Student Resources in the back of the book to help students on their quest for success. Read more... ]]>Mon, 06 Apr 2020 20:52:01 GMTIntroduction to Stable Homotopy Theory
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A comprehensive introduction to stable homotopy theory for beginning graduate students, from motivating phenomena to current research. Read more... ]]>Mon, 06 Apr 2020 20:01:24 GMTEuclidean and Non-Euclidean Geometries: Development and History, 3rd Edition
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This book presents the discovery of non-Euclidean geometry and the subsequent reformulation of the foundations of Euclidean geometry. The book provides a selection of topics suitable for the undergraduate student. A feature of this text is that some new results are developed in the exercises and then built upon in subsequent chapters. Many new exercises have been included in this edition. The book incorporates a discussion of the historical development of ideas, and the philisophical implications on the subject.
Read more... ]]>Mon, 06 Apr 2020 18:58:57 GMTArithmetic and Geometry: Papers Dedicated to I.R. Shafarevich on the Occasion of His Sixtieth Birthday Volume I Arithmetic: 1 (Progress in Mathematics)
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Product details
Paperback: 376 pages
Publisher: Birkhauser (1 Jan. 1983)
Language: English
ISBN-10: 0817631321
ISBN-13: 978-0817631321 Read more... ]]>Mon, 06 Apr 2020 17:59:05 GMTGeometry of Algebraic Curves: Volume I: 1 (Grundlehren der mathematischen Wissenschaften)
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In recent years there has been enormous activity in the theory of algebraic curves. Many long-standing problems have been solved using the general techniques developed in algebraic geometry during the 1950's and 1960's. Additionally, unexpected and deep connections between algebraic curves and differential equations have been uncovered, and these in turn shed light on other classical problems in curve theory. It seems fair to say that the theory of algebraic curves looks completely different now from how it appeared 15 years ago in particular, our current state of knowledge repre sents a significant advance beyond the legacy left by the classical geometers such as Noether, Castelnuovo, Enriques, and Severi. These books give a presentation of one of the central areas of this recent activity namely, the study of linear series on both a fixed curve (Volume I) and on a variable curve (Volume II). Our goal is to give a comprehensive and self-contained account of the extrinsic geometry of algebraic curves, which in our opinion constitutes the main geometric core of the recent advances in curve theory. Along the way we shall, of course, discuss appli cations of the theory of linear series to a number of classical topics (e.g., the geometry of the Riemann theta divisor) as well as to some of the current research (e.g., the Kodaira dimension of the moduli space of curves).
Read more... ]]>Mon, 06 Apr 2020 17:57:09 GMTTrigonometry Essentials Practice Workbook with Answers: Master Basic Trig Skills
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WHAT TO EXPECT: This is a workbook designed to offer plenty of practice with essential skills. It is not a textbook designed to teach trigonometry, but a workbook designed to supplement a students instruction in trigonometry. Examples and a brief description of the concepts are included to serve as a quick refresher and a guide. If you need more instruction, you should use this workbook in combination with a textbook. The last chapter involves applications of trig identities, which is a challenging topic that will mostly interest more advanced students. A few chapters are intended to help students memorize the trig functions of common angles like 30, 150, or 315 degrees, which will be especially useful for students who may take exams without a calculator (thats the case with the MCAT and many math and science courses). There may be more practice than many students need, which is much better than having too little practice. Any extra pages may be helpful for teachers or parents with multiple children.
DESCRIPTION: This Trigonometry Essentials Practice Workbook with Answers provides ample practice for developing fluency in very fundamental trigonometry skills. Every problem can be answered without a calculator, which is very helpful for students who arent allowed to use a calculator. This is the case in some trig and physics courses, as well as some standardized exams (like the MCAT).
CONTENTS: This workbook is conveniently divided up into 11 chapters so that students can Read more... ]]>Mon, 06 Apr 2020 17:41:02 GMTIntegrierte Produktentwicklung mit Faser-Kunststoff-Verbunden
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Faser-Kunststoff-Verbunde (FKV) bieten herausragende Vorteile, von denen das hohe Leichtbaupotenzial der wohl markanteste, aber bei weitem nicht der einzige ist. Fr eine effiziente und erfolgreiche Produktentwicklung mit FKV, die diese Vorteile ausschpft, ist dabei eine integrierte Produktentwicklung erforderlich. Dieses Buch vermittelt die hierfr notwendigen Grundlagen.
Einleitend werden die materialspezifischen Vorteile von FKV und daraus abgeleitet die typischen Anwendungsgebiete vorgestellt. Anschlieend wird aufgezeigt, welche Probleme eine konventionelle, nicht integrierende Produktentwicklung erzeugt, und wie diese durch ein integrierte Produktentwicklung (IPE) berwunden werden. Zudem wird erlutert wieso IPE gerade fr FKV von Bedeutung ist. Im Hauptteil des Buches wird zunchst ein Ansatz zur IPE von FKV-Bauteilen vorgestellt. Der weitere Aufbau des Buches entspricht dieser Vorgehensweise und erklrt Schritt fr Schritt, wie zunchst ein Anforderungskatalog erstellt und darauf basierend, ein Konzept, ein Entwurf und schlielich eine ausgearbeitete Konstruktion entstehen. Dabei werden auch einfache, aber effektive Methoden fr die Auswahl von Fasermaterialien, Halbzeugen und Fertigungsverfahren definiert. Deren Anwendung erlaubt es, bereits in einem frhen Stadium des Entwicklungsprozesses grundlegende Entscheidungen zu treffen, die als Basis fr die Entwicklungen in den verschiedenen Bereichen dienen. So wird eine effiziente, simultane Entwicklung konstruktiver, fertigungstech Read more... ]]>Mon, 06 Apr 2020 15:05:06 GMTStochastische Modelle der aktuariellen Risikotheorie: Eine mathematische Einfuhrung [German]
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Dieses Buch fhrt mathematisch przise in die stochastischen Modelle ein, die bei der Bewertung von Schadensbetrgen fr Versicherungen von besonderer Bedeutung sind. Abgedeckt werden Modelle fr kleine und groe Schadensbetrge, Modelle fr extreme Ereignisse, Risikomae, sowie die stochastischen Prozesse der aktuariellen Risikotheorie: Zhlprozesse, zusammengesetzte Prozesse, Erneuerungsprozesse und Poisson-Prozesse. Zentrales Thema ist die Bestimmung der Ruinwahrscheinlichkeit des Versicherers. In diesem Zusammenhang werden analytische Lsungen, asymptotische Approximationen sowie numerische Algorithmen wie die Monte-Carlo-Simulation vorgestellt.
Gute Grundkenntnisse in der Wahrscheinlichkeitstheorie werden vorausgesetzt, doch ein Anhang mit den wichtigsten Resultaten erleichtert die Lektre dieses Buches.
Das Buch ist geeignet fr fortgeschrittene Bachelor- oder Masterstudierende der Mathematik oder Statistik mit entsprechender Vertiefungsrichtung. Darber hinaus richtet es sich an Kandidaten, die das Diplom der Schweizerischen Aktuarvereinigung (SAV) erwerben oder sich auf das Diplom der Society of Actuaries (SOA) vorbereiten mchten. Auch praktizierende Versicherungsmathematiker, die ihre technischen Kenntnisse vertiefen wollen, werden angesprochen.
Die vorliegende zweite Auflage enthlt theoretische Ergnzungen, insbesondere Resultate ber die Fluktuationen der Summe und der zusammengesetzten Summe, d.h. des Gesamtschadensbetrages einer Periode. Darber hinaus erleichtern nun neue A Read more... ]]>Mon, 06 Apr 2020 14:52:35 GMTGeometry, Topology and Physics
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Differential geometry and topology have become essential tools for many theoretical physicists. In particular, they are indispensable in theoretical studies of condensed matter physics, gravity, and particle physics. Geometry, Topology and Physics, Second Edition introduces the ideas and techniques of differential geometry and topology at a level suitable for postgraduate students and researchers in these fields.
The second edition of this popular and established text incorporates a number of changes designed to meet the needs of the reader and reflect the development of the subject. The book features a considerably expanded first chapter, reviewing aspects of path integral quantization and gauge theories. Chapter 2 introduces the mathematical concepts of maps, vector spaces, and topology. The following chapters focus on more elaborate concepts in geometry and topology and discuss the application of these concepts to liquid crystals, superfluid helium, general relativity, and bosonic string theory. Later chapters unify geometry and topology, exploring fiber bundles, characteristic classes, and index theorems. New to this second edition is the proof of the index theorem in terms of supersymmetric quantum mechanics. The final two chapters are devoted to the most fascinating applications of geometry and topology in contemporary physics, namely the study of anomalies in gauge field theories and the analysis of Polakov's bosonic string theory from the geometrical point of view. Read more... ]]>Mon, 06 Apr 2020 10:39:19 GMTDifferential Calculus and Sage
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This text covers the differential calculus, including properties of the derivative and applications. Particular emphasis is on geometric applications. There is a large selection of exercises (most with answers) and most claims are provided with a complete proof.
My nickname - interes Read more... ]]>Mon, 06 Apr 2020 09:36:39 GMTGodel's Proof, 3 edition
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'Nagel and Newman accomplish the wondrous task of clarifying the argumentative outline of Kurt Godel's celebrated logic bomb.' The Guardian
In 1931 the mathematical logician Kurt Godel published a revolutionary paper that challenged certain basic assumptions underpinning mathematics and logic. A colleague of physicist Albert Einstein, his theorem proved that mathematics was partly based on propositions not provable within the mathematical system. The importance of Godel's Proof rests upon its radical implications and has echoed throughout many fields, from maths to science to philosophy, computer design, artificial intelligence, even religion and psychology. While others such as Douglas Hofstadter and Roger Penrose have published bestsellers based on Godels theorem, this is the first book to present a readable explanation to both scholars and non-specialists alike. A gripping combination of science and accessibility, Godels Proof by Nagel and Newman is for both mathematicians and the idly curious, offering those with a taste for logic and philosophy the chance to satisfy their intellectual curiosity.
Kurt Godel (1906 1978) Born in Brunn, he was a colleague of physicist Albert Einstein and professor at the Institute for Advanced Study in Princeton, N.J.
My nickname - interes Read more... ]]>Mon, 06 Apr 2020 08:53:53 GMTSternstunden der Mathematik [German]
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Der Titel dieses Buches ber Mathematik ist ausgeborgt von Stefan Zweigs "Sternstunden der Menschheit". Dort geht es um Weltgeschichte, doch es sind nicht so sehr die allseits bekannten historischen Ereignisse, an die erinnert wird, sondern etwas verborgenere, in denen sich gleichwohl das Weltgeschehen fokussierte. Von solchen Ereignissen hat auch die Wissenschaft und besonders die Mathematik viele zu bieten.
Die Geschichten dieses Buches mchten mathematische Ideengeschichte nachzeichnen anhand einer sehr persnlich motivierten Auswahl von Ereignissen mit ihrem Vorher und Nachher, von Pythagoras bis Perelman. Der Weg von der Oberflche zu einem tieferen Verstehen macht das Wesen der Mathematik aus, und besonders spektakulre Durchbrche dieser Art sind "Sternstunden". Will man sie verstehen, ist es gut, sich an die Quelle zu begeben, in die Zeit zu reisen, als der Durchbruch erzielt, die neuen Ideen geboren wurden, als man sich tastend und respektvoll auf ganz neues Gebiet vorwagte. Das Buch mchte zu einer Auseinandersetzung mit diesen Ideen anregen und dabei gleichermaen mathematisch interessierte Laien und Fachleute ansprechen. Read more... ]]>Mon, 06 Apr 2020 07:34:20 GMTThe Hybrid High-Order Method for Polytopal Meshes: Design, Analysis, and Applications
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This monograph provides an introduction to the design and analysis of Hybrid High-Order methods for diffusive problems, along with a panel of applications to advanced models in computational mechanics. Hybrid High-Order methods are new-generation numerical methods for partial differential equations with features that set them apart from traditional ones. These include: the support of polytopal meshes, including non-star-shaped elements and hanging nodes the possibility of having arbitrary approximation orders in any space dimension an enhanced compliance with the physics and a reduced computational cost thanks to compact stencil and static condensation. The first part of the monograph lays the foundations of the method, considering linear scalar second-order models, including scalar diffusion possibly heterogeneous and anisotropic and diffusion-advection-reaction. The second part addresses applications to more complex models from the engineering sciences: non-linear Leray-Lions problems, elasticity, and incompressible fluid flows. This book is primarily intended for graduate students and researchers in applied mathematics and numerical analysis, who will find here valuable analysis tools of general scope. Read more... ]]>Mon, 06 Apr 2020 06:52:02 GMTBasic Representation Theory of Algebras
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This textbook introduces the representation theory of algebras by focusing on two of its most important aspects: the Auslander-Reiten theory and the study of the radical of a module category. It starts by introducing and describing several characterisations of the radical of a module category, then presents the central concepts of irreducible morphisms and almost split sequences, before providing the definition of the Auslander-Reiten quiver, which encodes much of the information on the module category. It then turns to the study of endomorphism algebras, leading on one hand to the definition of the Auslander algebra and on the other to tilting theory. The book ends with selected properties of representation-finite algebras, which are now the best understood class of algebras. Intended for graduate students in representation theory, this book is also of interest to any mathematician wanting to learn the fundamentals of this rapidly growing field. A graduate course in non-commutative or homological algebra, which is standard in most universities, is a prerequisite for readers of this book. Read more... ]]>Mon, 06 Apr 2020 06:25:42 GMTTeaching Secondary Mathematics
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Technology plays a crucial role in contemporary mathematics education. Teaching Secondary Mathematics covers major contemporary issues in mathematics education, as well as how to teach key mathematics concepts from the Australian Curriculum: Mathematics. It integrates digital resources via Cambridge HOTmaths (), a popular, award-winning online tool with engaging multimedia that helps students and teachers learn and teach mathematical concepts. This book comes with a free twelve-month subscription to Cambridge HOTmaths. Each chapter is written by an expert in the field, and features learning outcomes, definitions of key terms and classroom activities - including HOTmaths activities and reflective questions. Teaching Secondary Mathematics is a valuable resource for pre-service teachers who wish to integrate contemporary technology into teaching key mathematical concepts and engage students in the learning of mathematics. Read more... ]]>Sun, 05 Apr 2020 20:43:39 GMTMultivariable and Vector Calculus: An Introduction
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This book is designed primarily for undergraduates in mathematics, engineering, and the physical sciences. Rather than concentrating on technical skills, it focuses on a deeper understanding of the subject by providing many unusual and challenging examples. The basic topics of vector geometry, differentiation and integration in several variables are explored. It also provides numerous computer illustrations and tutorials using MATLAB and Maple, that bridge the gap between analysis and computation.
Features:
Includes numerous computer illustrations and tutorials using MATLAB and Maple
Covers the major topics of vector geometry, differentiation, and integration in several variables
Instructors ancillaries available upon adoption Read more... ]]>Sun, 05 Apr 2020 20:08:48 GMTElementare Einfuhrung in die Wahrscheinlichkeitsrechnung: Mit 82 Beispielen und 73 Ubungsaufgaben mit vollstandigem Losungsweg (German Edition)
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Das Buch ist dies eine elementare Einfuhrung in die Grundbegriffe der Wahrscheinlichkeitstheorie, die fur ein sinnvolles Statistikstudium unentbehrlich sind. Dabei wird auf die praktische Bedeutung und Anwendbarkeit dieser Begriffe verstarkt eingegangen, was durch die Behandlung zahlreicher Beispiele erleichtert und durch viele Ubungsaufgaben mit vollstandigen Losungswegen abgerundet wird.
Read more... ]]>Sun, 05 Apr 2020 19:04:08 GMTBetween Mind and Computer: Fuzzy Science and Engineering (Advances in Fuzzy Systems-Applications and Theory)
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The Fuzzy Explosion emanating from Japan has compelled more people than ever to ponder the meaning and potential of fuzzy engineering. Scientists all over are now beginning to harness the power of fuzzy recognition and decision-making reminescent of the way the human mind works in computer applications.In this book a blue-ribbon list of contributors discusses the latest developments in topics such as possibility logic programming, truth-valued flow inference, fuzzy neural-logic networks and default knowledge representation. This volume is the first in a series aiming to document advances in fuzzy set theory and its applications. Read more... ]]>Sun, 05 Apr 2020 17:25:20 GMT5 Steps to a 5: AP Calculus AB 2017, 3rd Edition
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Get ready for your AP Calculus AB exam with this straightforward, easy-to-follow study guideupdated to match the latest test changes
The wildly popular test prep guide updated and enhanced for smartphone users5 Steps to a 5: AP Calculus AB 2017 provides a proven strategy to achieving high scores on this demanding Advanced Placement exam.
This logical and easy-to-follow instructional guide introduces an effective 5-step study plan to help students build the skills, knowledge, and test-taking confidence they need to reach their full potential. The book helps students master multiple-choice, free-response and essay questions and offers comprehensive answer explanations and sample responses. Written by a math consultant and former chair of math department, this insiders guide reflects the latest course syllabus and includes 2 full-length practice exams, plus the most up-to-date scoring information.
The 5 Steps to a 5: AP Calculus AB 2017 effective 5-step plan breaks down test preparation into stages: 1. Set Up Your Study Program 2. Determine Your Test Readiness 3. Develop Strategies for Success 4. Develop the Knowledge You Need to Score High 5. Build Your Test-Taking Confidence.
In 2014, almost 300,000 students took the AP Calculus AB test
2 full-length practice exams
BONUS interactive AP Planner app delivers a customized study schedule and extra practice questions to students mobile devices
The 5 Steps to a 5 series has prepared millions of students for success Read more... ]]>Sun, 05 Apr 2020 16:49:00 GMTA First Course in Numerical Methods
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A First Course in Numerical Methods is designed for students and researchers who seek practical knowledge of modern techniques in scientific computing. Avoiding encyclopedic and heavily theoretical exposition, the book provides an in-depth treatment of fundamental issues and methods, the reasons behind the success and failure of numerical software, and fresh and easy-to-follow approaches and techniques.
The authors focus on current methods, issues and software while providing a comprehensive theoretical foundation, enabling those who need to apply the techniques to successfully design solutions to nonstandard problems. The book also illustrates algorithms using the programming environment of MATLAB(r), with the expectation that the reader will gradually become proficient in it while learning the material covered in the book. A variety of exercises are provided within each chapter along with review questions aimed at self-testing.
The book takes an algorithmic approach, focusing on techniques that have a high level of applicability to engineering, computer science, and industrial mathematics.
Audience: A First Course in Numerical Methods is aimed at undergraduate and beginning graduate students. It may also be appropriate for researchers whose main area of expertise is not scientific computing and who are interested in learning the basic concepts of the field.
Contents: Chapter One: Numerical Algorithms Chapter Two: Roundoff Errors Chapter Three: Nonlinear Equati Read more... ]]>Sun, 05 Apr 2020 16:11:07 GMTMemorized Discrete Systems and Time-delay
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This book examines discrete dynamical systems with memorynonlinear systems that exist extensively in biological organisms and financial and economic organizations, and time-delay systems that can be discretized into the memorized, discrete dynamical systems. It book further discusses stability and bifurcations of time-delay dynamical systems that can be investigated through memorized dynamical systems as well as bifurcations of memorized nonlinear dynamical systems, discretization methods of time-delay systems, and periodic motions to chaos in nonlinear time-delay systems.
The book helps readers find analytical solutions of MDS, change traditional perturbation analysis in time-delay systems, detect motion complexity and singularity in MDS and determine stability, bifurcation, and chaos in any time-delay system. Read more... ]]>Sun, 05 Apr 2020 16:00:34 GMTInverse Problems: Basics, Theory and Applications in Geophysics
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The overall goal of the book is to provide access to the regularized solution of inverse problems relevant in geophysics without requiring more mathematical knowledge than is taught in undergraduate math courses for scientists and engineers. From abstract analysis only the concept of functions as vectors is needed. Function spaces are introduced informally in the course of the text, when needed. Additionally, a more detailed, but still condensed introduction is given in Appendix B.
A second goal is to elaborate the single steps to be taken when solving an inverse problem: discretization, regularization and practical solution of the regularized optimization problem. These steps are shown in detail for model problems from the fields of inverse gravimetry and seismic tomography.
The intended audience is mathematicians, physicists and engineers having a good working knowledge of linear algebra and analysis at the upper undergraduate level. Read more... ]]>Sun, 05 Apr 2020 15:58:51 GMT