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Author : A. R. Rajwade
Publisher : Springer
ISBN 13 : 9386279061
Total Pages : 203 pages
Book Rating : 4.3/5 (862 download)
Download or read book Convex Polyhedra with Regularity Conditions and Hilbert’s Third Problem written by A. R. Rajwade and published by Springer. This book was released on 2001-01-01 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Judith D. Sally
Publisher : American Mathematical Soc.
ISBN 13 : 9780821872673
Total Pages : 358 pages
Book Rating : 4.8/5 (726 download)
Download or read book Roots to Research written by Judith D. Sally and published by American Mathematical Soc.. This book was released on 2007-01-01 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: Certain contemporary mathematical problems are of particular interest to teachers and students because their origin lies in mathematics covered in the elementary school curriculum and their development can be traced through high school, college, and university level mathematics. This book is intended to provide a source for the mathematics (from beginning to advanced) needed to understand the emergence and evolution of five of these problems: The Four Numbers Problem, Rational Right Triangles, Lattice Point Geometry, Rational Approximation, and Dissection. Each chapter begins with the elementary geometry and number theory at the source of the problem, and proceeds (with the exception of the first problem) to a discussion of important results in current research. The introduction to each chapter summarizes the contents of its various sections, as well as the background required. The book is intended for students and teachers of mathematics from high school through graduate school. It should also be of interest to working mathematicians who are curious about mathematical results in fields other than their own. It can be used by teachers at all of the above mentioned levels for the enhancement of standard curriculum materials or extra-curricular projects. -- Book cover.
Author : B. Sury
Publisher : Springer
ISBN 13 : 9386279193
Total Pages : 315 pages
Book Rating : 4.3/5 (862 download)
Download or read book The Congruence Subgroup Problem - An Elementary Approach Aimed at Applications written by B. Sury and published by Springer. This book was released on 2003-01-01 with total page 315 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Terence Tao
Publisher : Springer
ISBN 13 : 9811018049
Total Pages : 220 pages
Book Rating : 4.8/5 (11 download)
Download or read book Analysis II written by Terence Tao and published by Springer. This book was released on 2016-08-22 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is part two of a two-volume book on real analysis and is intended for senior undergraduate students of mathematics who have already been exposed to calculus. The emphasis is on rigour and foundations of analysis. Beginning with the construction of the number systems and set theory, the book discusses the basics of analysis (limits, series, continuity, differentiation, Riemann integration), through to power series, several variable calculus and Fourier analysis, and then finally the Lebesgue integral. These are almost entirely set in the concrete setting of the real line and Euclidean spaces, although there is some material on abstract metric and topological spaces. The book also has appendices on mathematical logic and the decimal system. The entire text (omitting some less central topics) can be taught in two quarters of 25–30 lectures each. The course material is deeply intertwined with the exercises, as it is intended that the student actively learn the material (and practice thinking and writing rigorously) by proving several of the key results in the theory.
Author : Terence Tao
Publisher : Springer
ISBN 13 : 9811017891
Total Pages : 350 pages
Book Rating : 4.8/5 (11 download)
Download or read book Analysis I written by Terence Tao and published by Springer. This book was released on 2016-08-29 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is part one of a two-volume book on real analysis and is intended for senior undergraduate students of mathematics who have already been exposed to calculus. The emphasis is on rigour and foundations of analysis. Beginning with the construction of the number systems and set theory, the book discusses the basics of analysis (limits, series, continuity, differentiation, Riemann integration), through to power series, several variable calculus and Fourier analysis, and then finally the Lebesgue integral. These are almost entirely set in the concrete setting of the real line and Euclidean spaces, although there is some material on abstract metric and topological spaces. The book also has appendices on mathematical logic and the decimal system. The entire text (omitting some less central topics) can be taught in two quarters of 25–30 lectures each. The course material is deeply intertwined with the exercises, as it is intended that the student actively learn the material (and practice thinking and writing rigorously) by proving several of the key results in the theory.
Author : Kalyan B. Sinha
Publisher : Springer
ISBN 13 : 9811048649
Total Pages : 169 pages
Book Rating : 4.8/5 (11 download)
Download or read book Theory of Semigroups and Applications written by Kalyan B. Sinha and published by Springer. This book was released on 2017-07-12 with total page 169 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book presents major topics in semigroups, such as operator theory, partial differential equations, harmonic analysis, probability and statistics and classical and quantum mechanics, and applications. Along with a systematic development of the subject, the book emphasises on the explorations of the contact areas and interfaces, supported by the presentations of explicit computations, wherever feasible. Designed into seven chapters and three appendixes, the book targets to the graduate and senior undergraduate students of mathematics, as well as researchers in the respective areas. The book envisages the pre-requisites of a good understanding of real analysis with elements of the theory of measures and integration, and a first course in functional analysis and in the theory of operators. Chapters 4 through 6 contain advanced topics, which have many interesting applications such as the Feynman–Kac formula, the central limit theorem and the construction of Markov semigroups. Many examples have been given in each chapter, partly to initiate and motivate the theory developed and partly to underscore the applications. The choice of topics in this vastly developed book is a difficult one, and the authors have made an effort to stay closer to applications instead of bringing in too many abstract concepts.
Author : Sharad S. Sane
Publisher : Springer
ISBN 13 : 938627955X
Total Pages : 477 pages
Book Rating : 4.3/5 (862 download)
Download or read book Combinatorial techniques written by Sharad S. Sane and published by Springer. This book was released on 2013-01-15 with total page 477 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 of parity has been specially included and it covers applications ranging from solving the Nim game to the quadratic reciprocity law. Chapters related to geometry include triangulations and Sperner's theorem, classification of regular polytopes, tilings and an introduction to the Eulcidean Ramsey theory. Material on group actions covers Sylow theory, automorphism groups and a classification of finite subgroups of orthogonal groups. All chapters have a large number of exercises with varying degrees of difficulty, ranging from material suitable for Mathematical Olympiads to research.
Author : K.R. Parthasarathy
Publisher : Springer
ISBN 13 : 9386279592
Total Pages : 187 pages
Book Rating : 4.3/5 (862 download)
Download or read book Coding theorems of classical and quantum information theory written by K.R. Parthasarathy and published by Springer. This book was released on 2013-01-01 with total page 187 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : C. S. Seshadri
Publisher : Springer
ISBN 13 : 9811018138
Total Pages : 224 pages
Book Rating : 4.8/5 (11 download)
Download or read book Introduction to the Theory of Standard Monomials written by C. S. Seshadri and published by Springer. This book was released on 2016-08-22 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is a reproduction of a course of lectures delivered by the author in 1983-84 which appeared in the Brandeis Lecture Notes series. The aim of this course was to give an introduction to the series of papers by concentrating on the case of the full linear group. In recent years, there has been great progress in standard monomial theory due to the work of Peter Littelmann. The author’s lectures (reproduced in this book) remain an excellent introduction to standard monomial theory. Standard monomial theory 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 flag varieties (and their Schubert subvarieties) associated with these groups. Besides its intrinsic interest, standard monomial theory has applications to the study of the geometry of Schubert varieties. Standard monomial theory has its origin in the work of Hodge, giving bases of the coordinate rings of the Grassmannian and its Schubert subvarieties by “standard monomials”. In its modern form, standard monomial theory was developed by the author in a series of papers written in collaboration with V. Lakshmibai and C. Musili. In the second edition of the book, conjectures of a standard monomial theory for a general semi-simple (simply-connected) algebraic group, due to Lakshmibai, have been added as an appendix, and the bibliography has been revised.
Author : M. G. Nadkarni
Publisher : Springer
ISBN 13 : 9386279533
Total Pages : 200 pages
Book Rating : 4.3/5 (862 download)
Download or read book Basic ergodic theory written by M. G. Nadkarni and published by Springer. This book was released on 2013-01-15 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Poincare recurrence lemma, induced automorphisms and Kakutani towers, compressibility and E. Hopf's theorem, the theorem of Ambrose on representation of flows are treated at the descriptive set-theoretic level before their measure-theoretic or topological versions are presented. In addition, topics around the Glimm-Effros theorem are discussed. In the third edition a chapter entitled 'Additional Topics' has been added. It gives Liouville's Theorem on the existence of invariant measure, entropy theory leading up to Kolmogorov-Sinai Theorem, and the topological dynamics proof of van der Waerden's theorem on arithmetical progressions.
Author : S. Kesavan
Publisher : Springer
ISBN 13 : 9811366780
Total Pages : 232 pages
Book Rating : 4.8/5 (113 download)
Download or read book Measure and Integration written by S. Kesavan and published by Springer. This book was released on 2019-02-25 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with topics on the theory of measure and integration. It starts with discussion on the Riemann integral and points out certain shortcomings, which motivate the theory of measure and the Lebesgue integral. Most of the material in this book can be covered in a one-semester introductory course. An awareness of basic real analysis and elementary topological notions, with special emphasis on the topology of the n-dimensional Euclidean space, is the pre-requisite for this book. Each chapter is provided with a variety of exercises for the students. The book is targeted to students of graduate- and advanced-graduate-level courses on the theory of measure and integration.
Author : Arup Bose
Publisher : Springer
ISBN 13 : 9811322481
Total Pages : 174 pages
Book Rating : 4.8/5 (113 download)
Download or read book U-Statistics, Mm-Estimators and Resampling written by Arup Bose and published by Springer. This book was released on 2018-08-28 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 these estimators. The last chapter is on practical implementation of the methods presented in other chapters, using the free software R.
Author : A. Goswami
Publisher : Springer
ISBN 13 : 9386279312
Total Pages : 226 pages
Book Rating : 4.3/5 (862 download)
Download or read book A Course in Applied Stochastic Processes written by A. Goswami and published by Springer. This book was released on 2006-09-15 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : K.R. Parthasarathy
Publisher : Springer
ISBN 13 : 9386279274
Total Pages : 352 pages
Book Rating : 4.3/5 (862 download)
Download or read book Introduction to Probability and Measure written by K.R. Parthasarathy and published by Springer. This book was released on 2005-05-15 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Rajendra Bhatia
Publisher : Springer
ISBN 13 : 9386279452
Total Pages : 248 pages
Book Rating : 4.3/5 (862 download)
Download or read book Notes on Functional Analysis written by Rajendra Bhatia and published by Springer. This book was released on 2009-01-15 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 probability, and the course proceeds rapidly from the definition of a normed linear space to the spectral theorem for bounded selfadjoint operators in a Hilbert space. The book is organised as twenty six lectures, each corresponding to a ninety minute class session. This may be helpful to teachers planning a course on this topic. Well prepared students can read it on their own.
Author : Bamdad R. Yahaghi
Publisher : Springer
ISBN 13 : 9386279487
Total Pages : 297 pages
Book Rating : 4.3/5 (862 download)
Download or read book Iranian Mathematics Competitions 1973-2007 written by Bamdad R. Yahaghi and published by Springer. This book was released on 2010-01-15 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 advanced studies.
Author : A. R. Rajwade
Publisher : Springer
ISBN 13 : 9386279355
Total Pages : 301 pages
Book Rating : 4.3/5 (862 download)
Download or read book Surprises and Counterexamples in Real Function Theory written by A. R. Rajwade and published by Springer. This book was released on 2007-01-15 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a variety of intriguing, surprising and appealing topics and nonroutine theorems in real function theory. It is a reference book to which one can turn for finding that arise while studying or teaching analysis.Chapter 1 is an introduction to algebraic, irrational and transcendental numbers and contains the Cantor ternary set. Chapter 2 contains functions with extraordinary properties; functions that are continuous at each point but differentiable at no point. Chapters 4 and intermediate value property, periodic functions, Rolle's theorem, Taylor's theorem, points of tangents. Chapter 6 discusses sequences and series. It includes the restricted harmonic series, of alternating harmonic series and some number theoretic aspects. In Chapter 7, the infinite peculiar range of convergence is studied. Appendix I deal with some specialized topics. Exercises at the end of chapters and their solutions are provided in Appendix II.This book will be useful for students and teachers alike.
