CMS Books in Mathematics – serie
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81 produkter
Mathematics and the Aesthetic
New Approaches to an Ancient Affinity
Av Nathalie Sinclair, William Higginson
Häftad, 2010
552 kr
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A majority of the chapters in this book first saw the light of day as talks at a conference organised and held at Queen’s University in Kingston, Ontario, Canada in April 2001. This small, invitational meeting, tellingly entitled Beauty and the Mathematical Beast, brought together a range of …
Counting and Configurations
Problems in Combinatorics, Arithmetic, and Geometry
Av Jiri Herman, Radan Kucera m. fl.
Inbunden, 2003
1152 kr
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This book can be seen as a continuation of Equations and Inequalities: El ementary Problems and Theorems in Algebra and Number Theory by the same authors, and published as the first volume in this book series. How ever, it can be independently read or used as a textbook in its own right. This …
Interpolation and Approximation by Polynomials
Inbunden, 2003
552 kr
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This book is intended as a course in numerical analysis and approximation theory for advanced undergraduate students or graduate students, and as a reference work for those who lecture or research in this area. Its title pays homage to Interpolation and Approximation by Philip J. Davis, published …
Generalized Inverses
Theory and Applications
Av Adi Ben-Israel, Thomas N.E. Greville
Inbunden, 2003
1098 kr
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1. The Inverse of a Nonsingular Matrix It is well known that every nonsingular matrix A has a unique inverse, ?1 denoted by A , such that ?1 ?1 AA = A A =I, (1) where I is the identity matrix. Of the numerous properties of the inverse matrix, we mention a few. Thus, ?1 ?1 (A ) = A, T ?1 ?1 T (A ) …
Techniques of Variational Analysis
Inbunden, 2005
989 kr
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Variational arguments are classical techniques whose use can be traced back to the early development of the calculus of variations and further. Rooted in the physical principle of least action they have wide applications in diverse fields. This book provides a concise account of the essential tools …
Mathematics and the Historian's Craft
The Kenneth O. May Lectures
Av Michael Kinyon, Glen van Brummelen
Inbunden, 2005
1098 kr
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This book brings together for the first time the Kenneth May Lectures that were given at the annual meetings of the Canadian Society for History and Philosophy of Mathematics. All contributions are of high scholarly value, yet accessible to an audience with a wide range of interests. They provide a …
Duality for Nonconvex Approximation and Optimization
Av Ivan Singer
Inbunden, 2006
1098 kr
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The theory of convex optimization has been developing constantly over the past 30 years. Recently, researchers have been studying more complicated classes of problems that still can be studied by means of convex analysis, so-called "anticonvex" and "convex-anticonvex" optimization problems. This …
Convexity and Well-Posed Problems
Inbunden, 2005
552 kr
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This book deals mainly with the study of convex functions and their behavior from the point of view of stability with respect to perturbations. We shall consider convex functions from the most modern point of view: a function is de?ned to be convex whenever its epigraph, the set of the points lying …
Convex Analysis and Nonlinear Optimization
Theory and Examples
Av Jonathan Borwein, Adrian S. Lewis
Inbunden, 2005
661 kr
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Optimization is a rich and thriving mathematical discipline. The theory underlying current computational optimization techniques grows ever more sophisticated. The powerful and elegant language of convex analysis unifies much of this theory. The aim of this book is to provide a concise, accessible …
Mathematics and the Aesthetic
New Approaches to an Ancient Affinity
Av Nathalie Sinclair, William Higginson
Inbunden, 2006
569 kr
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A majority of the chapters in this book first saw the light of day as talks at a conference organised and held at Queen’s University in Kingston, Ontario, Canada in April 2001. This small, invitational meeting, tellingly entitled Beauty and the Mathematical Beast, brought together a range of …
Differential Geometry of Varieties with Degenerate Gauss Maps
Av Maks A. Akivis, Vladislav V. Goldberg
Inbunden, 2003
552 kr
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In this book the authors study the differential geometry of varieties with degenerate Gauss maps. They use the main methods of differential geometry, namely, the methods of moving frames and exterior differential forms as well as tensor methods. By means of these methods, the authors discover the …
Combinatorial Methods
Free Groups, Polynomials, and Free Algebras
Av Vladimir Shpilrain, Alexander Mikhalev m. fl.
Inbunden, 2003
552 kr
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This book is about three seemingly independent areas of mathematics: combinatorial group theory, the theory of Lie algebras and affine algebraic geometry. Indeed, for many years these areas were being developed fairly independently. Combinatorial group theory, the oldest of the three, was born in …
Biorthogonal Systems in Banach Spaces
Av Petr Hajek, Vicente Montesinos Santalucia m. fl.
Inbunden, 2007
552 kr
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One of the fundamental questions of Banach space theory is whether every Banach space has a basis. A space with a basis gives us a sense of familiarity and concreteness, and perhaps a chance to attempt the classification of all Banach spaces and other problems.The main goals of this book are to: …
Riemann Hypothesis
A Resource for the Afficionado and Virtuoso Alike
Av Peter Borwein, Stephen Choi m. fl.
Inbunden, 2007
1861 kr
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Collecting papers never before published in book form, this volume presents an analysis of the Riemann Hypothesis as well as connected problems. It also supplies a generous helping of the body of theory developed towards the problem’s solution. In addition, the work contains recent advances and …
Concrete Approach to Classical Analysis
Inbunden, 2008
552 kr
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Mathematical analysis offers a solid basis for many achievements in applied mathematics and discrete mathematics. This new textbook is focused on differential and integral calculus, and includes a wealth of useful and relevant examples, exercises, and results enlightening the reader to the power of …
Solving the Pell Equation
Av Michael Jacobson, Hugh Williams
Inbunden, 2008
606 kr
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Pell’s Equation is a very simple Diophantine equation that has been known to mathematicians for over 2000 years. Even today research involving this equation continues to be very active, as can be seen by the publication of at least 150 articles related to this equation over the past decade. …
Two Millennia of Mathematics
From Archimedes to Gauss
Inbunden, 2000
1316 kr
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This book is intended for those who love mathematics, including under graduate students of mathematics, more experienced students, and the vast number of amateurs, in the literal sense of those who do something for the love of it. I hope it will also be a useful source of material for those who …
Best Approximation in Inner Product Spaces
Inbunden, 2001
552 kr
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This book evolved from notes originally developed for a graduate course, "Best Approximation in Normed Linear Spaces," that I began giving at Penn State Uni versity more than 25 years ago. It soon became evident. that many of the students who wanted to take the course (including engineers, …
Functional Analysis and Infinite-Dimensional Geometry
Av Marian Fabian, Petr Habala m. fl.
Inbunden, 2001
1098 kr
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This book introduces the reader to the basic principles of functional analysis and to areas of Banach space theory that are close to nonlinear analysis and topology.In the first part, the book develops the classical theory, including weak topologies, locally convex spaces, Schauder bases, and …
17 Lectures on Fermat Numbers
From Number Theory to Geometry
Av Michal Krizek, Florian Luca m. fl.
Inbunden, 2002
1152 kr
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French mathematician Pierre de Fermat became most well known for his pioneering work in the area of number theory. His work with numbers has been attracting the attention of amateur and professional mathematicians for over 350 years. This book was written in honor of the 400th anniversary of his …
Recent Advances in Algorithms and Combinatorics
Av Bruce A. Reed, Claudia L. Linhares-Sales
Inbunden, 2002
1098 kr
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Combinatorics is one of the fastest growing ?elds of mathematics. In large measure this is because many practical problems can be modeled and then e?ciently solved using combinatorial theory. This real world motivation for studying algorithmic combinatorics has led not only to the development of …
Computational Excursions in Analysis and Number Theory
Inbunden, 2002
1098 kr
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This book is designed for a topics course in computational number theory. It is based around a number of difficult old problems that live at the interface of analysis and number theory. Some of these problems are the following: The Integer Chebyshev Problem. Find a nonzero polynomial of degree n …
Differentiable Optimization and Equation Solving
A Treatise on Algorithmic Science and the Karmarkar Revolution
Inbunden, 2003
1098 kr
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In 1984, N. Karmarkar published a seminal paper on algorithmic linear programming. During the subsequent decade, it stimulated a huge outpouring of new algorithmic results by researchers world-wide in many areas of mathematical programming and numerical computation. This book gives an overview of …
Orthogonal Polynomials for Exponential Weights
Av Eli Levin, Doron S. Lubinsky
Inbunden, 2001
552 kr
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The analysis of orthogonal polynomials associated with general weights was a major theme in classical analysis in the twentieth century, and undoubtedly will continue to grow in importance in the future.In this monograph, the authors investigate orthogonal polynomials for exponential weights …
Equations and Inequalities
Elementary Problems and Theorems in Algebra and Number Theory
Av Jiri Herman, Radan Kucera m. fl.
Inbunden, 2000
737 kr
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This book is intended as a text for a problem-solving course at the first or second-year university level, as a text for enrichment classes for talented high-school students, or for mathematics competition training. It can also be used as a source of supplementary material for any course dealing …
Reflection Groups and Invariant Theory
Av Richard Kane
Inbunden, 2001
879 kr
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Reflection Groups and their invariant theory provide the main themes of this book and the first two parts focus on these topics. The first 13 chapters deal with reflection groups (Coxeter groups and Weyl groups) in Euclidean Space while the next thirteen chapters study the invariant theory of …
Abelian Groups and Representations of Finite Partially Ordered Sets
Av David Arnold
Inbunden, 2000
1534 kr
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A recurring theme in a traditional introductory graduate algebra course is the existence and consequences of relationships between different algebraic structures. This is also the theme of this book, an exposition of connections between representations of finite partially ordered sets and abelian …
Classical Topics in Discrete Geometry
Inbunden, 2010
498 kr
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Geometry is a classical core part of mathematics which, with its birth, marked the beginning of the mathematical sciences. Thus, not surprisingly, geometry has played a key role in many important developments of mathematics in the past, as well as in present times. While focusing on modern …
Interpolation and Approximation by Polynomials
Häftad, 2011
552 kr
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This book is intended as a course in numerical analysis and approximation theory for advanced undergraduate students or graduate students, and as a reference work for those who lecture or research in this area. Its title pays homage to Interpolation and Approximation by Philip J. Davis, published …
Generalized Inverses
Theory and Applications
Av Adi Ben-Israel, Thomas N.E. Greville
Häftad, 2010
770 kr
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1. The Inverse of a Nonsingular Matrix It is well known that every nonsingular matrix A has a unique inverse, ?1 denoted by A , such that ?1 ?1 AA = A A =I, (1) where I is the identity matrix. Of the numerous properties of the inverse matrix, we mention a few. Thus, ?1 ?1 (A ) = A, T ?1 ?1 T (A ) …
