Student Mathematical Library – serie
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103 produkter
Matrix Groups for Undergraduates
Häftad, 2016
720 kr
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Matrix groups touch an enormous spectrum of the mathematical arena. This textbook brings them into the undergraduate curriculum. It makes an excellent one-semester course for students familiar with linear and abstract algebra and prepares them for a graduate course on Lie groups.Matrix Groups for …
Low-dimensional Geometry
From Euclidean Surfaces to Hyperbolic Knots
Häftad, 2009
720 kr
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The study of 3-dimensional spaces brings together elements from several areas of mathematics. The most notable are topology and geometry, but elements of number theory and analysis also make appearances. In the past 30 years, there have been striking developments in the mathematics of 3-dimensional …
Prime Numbers and Their Distribution
Av American Mathematical Society
Häftad, 2000
594 kr
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We have been curious about numbers - and prime numbers - since antiquity. One notable new direction this century in the study of primes has been the influx of ideas from probability. The goal of this book is to provide insights into the prime numbers and to describe how a sequence so tautly …
Miles of Tiles
Av American Mathematical Society
Häftad, 1999
594 kr
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'In this book, we try to display the value (and joy!) of starting from a mathematically amorphous problem and combining ideas from diverse sources to produce new and significant mathematics - mathematics unforeseen from the motivating problem...' - from the Preface. The common thread throughout …
Lectures on Contemporary Probability
Av Gregory F. Lawler, Lester N. Coyle
Häftad, 1999
594 kr
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This volume is based on classes in probability for advanced undergraduates held at the IAS/Park City Mathematics Institute (Utah). It is derived from both lectures (Chapters 1-10) and computer simulations (Chapters 11-13) that were held during the program. The material is coordinated so that some …
Introduction to the Mathematical Theory of Waves
Häftad, 1999
720 kr
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This book is based on an undergraduate course taught at the IAS/Park City Mathematics Institute (Utah) on linear and nonlinear waves. The first part of the text overviews the concept of a wave, describes one-dimensional waves using functions of two variables, provides an introduction to partial …
Problems in Mathematical Analysis I
Real Numbers, Sequences and Series
Av American Mathematical Society
Häftad, 2000
720 kr
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We learn by doing. We learn mathematics by doing problems. This book is the first volume of a series of books of problems in mathematical analysis. It is mainly intended for students studying the basic principles of analysis. However, given its organization, level, and selection of problems, it …
Problems in Mathematical Analysis, Volume 2
Continuity and Differentiation
Häftad, 2001
720 kr
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We learn by doing. We learn mathematics by doing problems. And we learn more mathematics by doing more problems. This is the sequel to ""Problems in Mathematical Analysis I"" (Volume 4 in the ""Student Mathematical Library"" series). If you want to hone your understanding of continuous and …
Mathematics of Soap Films
Explorations with Maple
Av American Mathematical Society
Häftad, 2000
720 kr
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Nature tries to minimize the surface area of a soap film through the action of surface tension. The process can be understood mathematically by using differential geometry, complex analysis, and the calculus of variations. This book employs ingredients from each of these subjects to tell the …
Game's Afoot!
Game Theory in Myth and Paradox
Av American Mathematical Society
Häftad, 2000
720 kr
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It all started with von Neumann and Morgenstern half a century ago. Their Theory of Games and Economic Behavior gave birth to a whole new area of mathematics concerned with the formal problems of rational decision as experienced by multiple agents. Now, game theory is all around us, making its way …
Plane Algebraic Curves
Av American Mathematical Society
Häftad, 2001
720 kr
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The study of the zeroes of polynomials, which for one variable is essentially algebraic, becomes a geometric theory for several variables. In this book, Fischer looks at the classic entry point to the subject: plane algebraic curves. Here one quickly sees the mix of algebra and geometry, as well as …
Differential Equations, Mechanics, and Computation
Av Richard S. Palais, Robert Andrew Palais
Häftad, 2009
720 kr
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This title is suitable for undergraduate and graduate students interested in ordinary differential equations and numerical methods. This book provides a conceptual introduction to the theory of ordinary differential equations, concentrating on the initial value problem for equations of evolution …
Introduction to Topology
Av American Mathematical Society
Häftad, 2001
720 kr
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This English translation of a Russian book presents the basic notions of differential and algebraic topology, which are indispensable for specialists and useful for research mathematicians and theoretical physicists. In particular, ideas and results are introduced related to manifolds, cell spaces, …
Codes and Curves
Av American Mathematical Society
Häftad, 2000
594 kr
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When information is transmitted, errors are likely to occur. This problem has become increasingly important as tremendous amounts of information are transferred electronically every day. Coding theory examines efficient ways of packaging data so that these errors can be detected, or even corrected. …
Inversion Theory and Conformal Mapping
Häftad, 2000
594 kr
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It is rarely taught in undergraduate or even graduate curricula that the only conformal maps in Euclidean space of dimension greater than two are those generated by similarities and inversions in spheres. This is in stark contrast to the wealth of conformal maps in the plane. This fact is taught in …
Exploring the Number Jungle
A Journey Into Diophantine Analysis
Häftad, 2000
720 kr
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Welcome to diophantine analysis - an area of number theory in which we attempt to discover hidden treasures and truths within the jungle of numbers by exploring rational numbers. Diophantine analysis comprises two different but interconnected domains - diophantine approximation and diophantine …
Basic Set Theory
Häftad, 2002
594 kr
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The main notions of set theory (cardinals, ordinals, transfinite induction) are fundamental to all mathematicians, not only to those who specialize in mathematical logic or set-theoretic topology. Basic set theory is generally given a brief overview in courses on analysis, algebra, or topology, …
Computable Functions
Av American Mathematical Society
Häftad, 2002
720 kr
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In 1936, before the development of modern computers, Alan Turing proposed the concept of a machine that would embody the interaction of mind, machine, and logical instruction. The idea of a 'universal machine' inspired the notion of programs stored in a computer's memory. Nowadays, the study of …
Plateau's Problem
An Invitation to Varifold Geometry
Av American Mathematical Society
Häftad, 2001
594 kr
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There have been many wonderful developments in the theory of minimal surfaces and geometric measure theory in the past 25 to 30 years. Many of the researchers who have produced these excellent results were inspired by this little book - or by Fred Almgren himself. The book is indeed a delightful …
Introduction to Lie Groups and the Geometry of Homogeneous Spaces
Häftad, 2003
720 kr
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It is remarkable that so much about Lie groups could be packed into this small book. But after reading it, students will be well-prepared to continue with more advanced, graduate-level topics in differential geometry or the theory of Lie groups. The theory of Lie groups involves many areas of …
Elementary Algebraic Geometry
Av Klaus Hulek
Häftad, 2003
720 kr
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This is a genuine introduction to algebraic geometry. The author makes no assumption that readers know more than can be expected of a good undergraduate. He introduces fundamental concepts in a way that enables students to move on to a more advanced book or course that relies more heavily on …
Cryptography
An Introduction
Av American Mathematical Society
Häftad, 2002
720 kr
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Learning about cryptography requires examining fundamental issues about information security. Questions abound, ranging from 'From whom are we protecting ourselves?' and 'How can we measure levels of security?' to 'What are our opponent's capabilities?' and 'What are their goals?' Answering these …
Problems in Mathematical Analysis, Volume 3
Integration
Häftad, 2003
720 kr
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The best way to penetrate the subtleties of the theory of integration is by solving problems. This book, like its two predecessors, is a wonderful source of interesting and challenging problems. As a resource, it is unequaled. It offers a much richer selection than is found in any current textbook. …
Lectures on Generating Functions
Av American Mathematical Society
Häftad, 2003
720 kr
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This book introduces readers to the language of generating functions, which nowadays, is the main language of enumerative combinatorics. The book starts with definitions, simple properties, and numerous examples of generating functions. It then discusses topics such as formal grammars, generating …
Transformation Groups for Beginners
Av American Mathematical Society
Häftad, 2004
720 kr
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The notion of symmetry is important in many disciplines, including physics, art, and music. The modern mathematical way of treating symmetry is through transformation groups. This book offers an easy introduction to these ideas for the relative novice, such as undergraduates in mathematics or even …
Mathematical Modelling
A Case Studies Approach
Av Reinhard Illner, C. Sean Bohun m. fl.
Häftad, 2004
720 kr
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Mathematical modelling is a subject without boundaries. It is the means by which mathematics becomes useful to virtually any subject. Moreover, modelling has been and continues to be a driving force for the development of mathematics itself. This book explains the process of modelling real …
Enumerative Geometry and String Theory
Av Sheldon Katz
Häftad, 2006
720 kr
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Perhaps the most famous example of how ideas from modern physics have revolutionized mathematics is the way string theory has led to an overhaul of enumerative geometry, an area of mathematics that started in the eighteen hundreds. Century-old problems of enumerating geometric configurations have …
Heads or Tails
An Introduction to Limit Theorems in Probability
Häftad, 2005
720 kr
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Everyone knows some of the basics of probability, perhaps enough to play cards. Beyond the introductory ideas, there are many wonderful results that are unfamiliar to the layman, but which are well within our grasp to understand and appreciate. Some of the most remarkable results in probability are …
Six Themes on Variation
Av Robert Hardt
Häftad, 2004
720 kr
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The calculus of variations is a beautiful subject with a rich history and with origins in the minimization problems of calculus. Although it is now at the core of many modern mathematical fields, it does not have a well-defined place in most undergraduate mathematics curricula. This volume should …
First Course in Topology
Continuity and Dimension
Häftad, 2006
720 kr
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How many dimensions does our universe require for a comprehensive physical description? In 1905, Poincare argued philosophically about the necessity of the three familiar dimensions, while recent research is based on 11 dimensions or even 23 dimensions. The notion of dimension itself presented a …
