Texts and Readings in Mathematics – serie
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54 produkter
Introduction to Probability and Measure
Häftad, 2005
456 kr
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According to a remark attributed to Mark Kac 'Probability Theory is a measure theory with a soul'. This book with its choice of proofs, remarks, examples and exercises has been prepared taking both these aesthetic and practical aspects into account.
Algebraic Geometry for Beginners
Av C. Musili
Häftad, 2001
603 kr
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This book offers a self-contained elementary introduction to the fundamental concepts and techniques of Algebraic Geometry, leading to some gems of the subject like Bezout’s Theorem, the Fundamental Theorem of Projective Geometry, and Zariski’s Main Theorem.The book contains a detailed treatment of …
Course in Differential Geometry and Lie Groups
Av S. Kumaresan
Häftad, 2002
603 kr
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This book arose out of courses taught by the author. It covers the traditional topics of differential manifolds, tensor fields, Lie groups, integration on manifolds and basic differential and Riemannian geometry. The author emphasizes geometric concepts, giving the reader a working knowledge of the …
Iranian Mathematics Competitions, 1973-2007
Inbunden, 2010
565 kr
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A collection of problems from a competition for college students organised by the Iranian Mathematical Society. It compiles problems from these competitions between 1973 and 2007 and provides solutions to most of them. It is suitable for students of mathematics preparing for competitions and for …
Stochastic Approximation: A Dynamical Systems Viewpoint
Second Edition
Inbunden, 2023
1537 kr
Kommande
This book serves as an advanced text for a graduate course on stochastic algorithms for the students of probability and statistics, engineering, economics and machine learning. This second edition gives a comprehensive treatment of stochastic approximation algorithms based on the ordinary …
Lie Groups and Lie Algebras
Inbunden, 2023
639 kr
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This is a textbook meant to be used at the advanced undergraduate or graduate level. It is an introduction to the theory of Lie groups and Lie algebras. The book treats real and p-adic groups in a unified manner. The first chapter outlines preliminary material that is used in the rest of the book. …
Harmonic Analysis
Häftad, 2010
369 kr
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This second edition has been enlarged and considerably rewritten. Among the new topics are infinite product spaces with applications to probability, disintegration of measures on product spaces, positive definite functions on the line, and additional information about Weyl's theorems on …
Expedition to Geometry
Häftad, 2011
439 kr
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This book, taking a holistic view of geometry, introduces the reader to axiomatic, algebraic, analytic and differential geometry. Starting with an informal introduction to non-Euclidean plane geometries, the book develops the theory to put them on a rigorous footing. It may be considered as an …
Surprises and Counterexamples in Real Function Theory (Text and Readings in Mathematics/ 42)
Av Rajwade
Häftad, 2011
523 kr
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Course on Integration Theory
Häftad, 2011
411 kr
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This book on integration theory is based on the lecture notes for courses that the author gave at the Tata Institute of Fundamental Research, Mumbai, and at ETH, Zürich. The subject matter is classical. The goal of the notes is to provide a concise, clear, and accurate treatment of the basic ideas …
Course on Topological Groups
Häftad, 2011
411 kr
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This book contains the author's notes for a course that he taught at ETH, Zürich. The aim is to lead the reader to a proof of the Peter-Weyl theorem, the basic theorem in the representation theory of compact topological groups. The topological, analytical, and algebraic groundwork needed for the …
Semisimple Groups and Riemannian Symmetric Spaces
Av A. Borel
Häftad, 2011
439 kr
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This book presents the previously unpublished notes from a series of lectures given by the author at the Tata Institute of Fundamental Research in 1961. Basic material on affine connections and on locally or globally Riemannian and Hermitian symmetric spaces is covered. The final chapter proves the …
Seiberg-Witten Gauge Theory
Häftad, 2011
557 kr
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The newly developed field of Seiberg-Witten gauge theory has become a well-established part of the differential topology of four-manifolds and three-manifolds. This book offers an introduction and an up-to-date review of the state of current research.
Introduction to Game Theory
Av Stef Tijs
Häftad, 2011
411 kr
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This book is an introductory graduate-level text on game theory that grew out of courses in mathematics and economics and operations research. Game theory deals with mathematical models of conflict and cooperation. In the first nine chapters, the author covers noncooperative games in extensive and …
Basic Ergodic Theory
Inbunden, 2013
551 kr
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This is an introductory book on Ergodic Theory. The presentation has a slow pace and the book can be read by any person with a background in basic measure theory and metric topology. A new feature of the book is that the basic topics of Ergodic Theory such as the Poincaré recurrence lemma, induced …
Connected at Infinity II
A Selection of Mathematics by Indians
Av Rajendra Bhatia, C. S. Rajan m. fl.
Inbunden, 2013
565 kr
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Like the first volume, this is a special collection of articles describing the work of some of the best-known mathematicians from India. It contains eight articles written by experts, each of whom has chosen one major research contribution by an Indian mathematician and explained its context, …
Introduction to the Theory of Standard Monomials
Häftad, 2014
551 kr
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The aim of this book is to give an introduction to what has come to be known as Standard Monomial Theory (SMT). SMT deals with the construction of nice bases of finite dimensional irreducible representations of semi-simple algebraic groups or, in geometric terms, nice bases of coordinate rings of …
Notes on Functional Analysis
Häftad, 2009
509 kr
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These notes are a record of a one semester course on Functional Analysis given by the author to second year Master of Statistics students at the Indian Statistical Institute, New Delhi. Students taking this course have a strong background in real analysis, linear algebra, measure theory and …
Algebraic Geometry II
Inbunden, 2015
857 kr
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Several generations of students of algebraic geometry have learned the subject from David Mumford's fabled "Red Book" containing notes of his lectures at Harvard University. Their genesis and evolution are described in the preface as:Initially notes to the course were mimeographed and bound and …
Combinatorial Techniques
Häftad, 2012
732 kr
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This is a basic text on combinatorics that deals with all the three aspects of the discipline: tricks, techniques and theory, and attempts to blend them. The book has several distinctive features. Probability and random variables with their interconnections to permutations are discussed. The theme …
Algebraic Topology
A Primer
Av Satya Deo
Häftad, 2018
593 kr
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This is the second (revised and enlarged) edition of the book originally published in 2003. It introduces the first concepts of Algebraic Topology like general simplicial complexes, simplicial homology theory, fundamental groups, covering spaces and singular homology theory in detail. The text has …
Inequalities
An Approach Through Problems
Häftad, 2018
816 kr
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This book is an introduction to basic topics in inequalities and their applications. These include the arithmetic mean-geometric mean inequality, Cauchy-Schwarz inequality, Chebyshev inequality, rearrangement inequality, convex and concave functions and Muirhead's theorem. More than 400 problems …
Measure and Integration
Av S. Kesavan
Häftad, 2019
509 kr
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This book deals with topics usually studied in a masters or graduate level course on the theory of measure and integration. It starts with the Riemann integral and points out some of its shortcomings which motivate the theory of measure and the Lebesgue integral.Starting with abstract measures and …
Spectral Theory of Dynamical Systems
Inbunden, 2020
776 kr
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This book treats some basic topics in the spectral theory of dynamical systems. The treatment is at a general level, but two more advanced theorems, one by H. Helson and W. Parry and the other by B. Host, are presented. Moreover, Ornstein's family of mixing rank one automorphisms is described with …
U-Statistics, Mm-Estimators and Resampling
Av Arup Bose, Snigdhansu Chatterjee
Inbunden, 2018
652 kr
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This is an introductory text on a broad class of statistical estimators that are minimizers of convex functions. It covers the basics of U-statistics and Mm-estimators and develops their asymptotic properties. It also provides an elementary introduction to resampling, particularly in the context of …
U-Statistics, Mm-Estimators and Resampling
Av Arup Bose, Snigdhansu Chatterjee
Häftad, 2019
650 kr
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This is an introductory text on a broad class of statistical estimators that are minimizers of convex functions. It covers the basics of U-statistics and Mm-estimators and develops their asymptotic properties. It also provides an elementary introduction to resampling, particularly in the context of …
Spectral Theory of Dynamical Systems
Second Edition
Inbunden, 2020
1297 kr
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This book discusses basic topics in the spectral theory of dynamical systems. It also includes two advanced theorems, one by H. Helson and W. Parry, and another by B. Host. Moreover, Ornstein’s family of mixing rank-one automorphisms is given with construction and proof. Systems of imprimitivity …
Spectral Theory of Dynamical Systems
Second Edition
Häftad, 2021
1297 kr
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This book discusses basic topics in the spectral theory of dynamical systems. It also includes two advanced theorems, one by H. Helson and W. Parry, and another by B. Host. Moreover, Ornstein’s family of mixing rank-one automorphisms is given with construction and proof. Systems of imprimitivity …
Diophantine Approximation and Dirichlet Series
Av Hervé Queffélec, Martine Queffélec
Inbunden, 2021
1297 kr
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The second edition of the book includes a new chapter on the study of composition operators on the Hardy space and their complete characterization by Gordon and Hedenmalm. The book is devoted to Diophantine approximation, the analytic theory of Dirichlet series and their composition operators, and …