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Lie Groups And Lie Algebras

by M.S. Raghunathan

~~50,34€~~ 45,31€ 10% OFF

 This is an essential textbook the advanced undergraduate and graduate students of mathematics. Organized into seven chapters, the book treats real and p-adic groups in a unified manner. Chapter 1 outlines the preliminary material that will be used in the rest of the book. Chapter 2 is on analytic functions and is of an elementary nature. This material is included to cater to students who may not be familiar with p-adic fields. Chapter 3 introduces analytic manifolds and contains standard material. The only notable feature is that it covers both real and p-adic analytic manifolds. All the standard results on Lie groups are proved in Chaps. 4 and 5. Some of the proofs are, however, different from those in the earlier literature. Some results are not found in the literature, though they are kind of folklore among the experts in Lie theory. The last two chapters (Chaps. 6 and 7) are on Lie algebras and cover the structure theory as found in the first of the Bourbaki volumes on the subject. In these chapters, some proofs are new.
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Little Book Of Martingales

by Arijit Chakrabarty, Arup Bose e Rajat Subhra Hazra

~~72,86€~~ 65,57€ 10% OFF

 This concise textbook, fashioned along the syllabus for master’s and Ph.D. programmes, covers basic results on discrete-time martingales and applications. It includes additional interesting and useful topics, providing the ability to move beyond. Adequate details are provided with exercises within the text and at the end of chapters. Basic results include Doob’s optional sampling theorem, Wald identities, Doob’s maximal inequality, upcrossing lemma, time-reversed martingales, a variety of convergence results and a limited discussion of the Burkholder inequalities.Applications include the 0-1 laws of Kolmogorov and Hewitt-Savage, the strong laws for U-statistics and exchangeable sequences, De Finetti’s theorem for exchangeable sequences and Kakutani’s theorem for product martingales. A simple central limit theorem for martingales is proven and applied to a basic urn model, the trace of a random matrix and Markov chains. Additional topics include forward martingale representation for U-statistics, conditional Borel-Cantelli lemma, Azuma-Hoeffding inequality, conditional three series theorem, strong law for martingales and the Kesten-Stigum theorem for a simple branching process. The prerequisite for this course is a first course in measure theoretic probability. The book recollects its essential concepts and results, mostly without proof, but full details have been provided for the Radon-Nikodym theorem and the concept of conditional expectation.
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Dilations, Completely Positive Maps And Geometry

by B.V. Rajarama Bhat e Tirthankar Bhattacharyya

~~115,59€~~ 104,03€ 10% OFF

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 This book introduces the dilation theory of operators on Hilbert spaces and its relationship to complex geometry. On the other hand, it describes the dilation theory of the symmetrized bidisc which has been developed mostly in the present century and is a very active topic of research.
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Stochastic Approximation: A Dynamical Systems Viewpoint

by Vivek S. Borkar

~~106,80€~~ 96,12€ 10% OFF

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 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.
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A First Course In Graph Theory And Combinatorics - Second Edition

by M. Ram Murty e Sebastian M. Cioaba

50,01€ + 10% CARD

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 This book discusses the origin of graph theory from its humble beginnings in recreational mathematics to its modern setting or modeling communication networks, as is evidenced by the World Wide Web graph used by many Internet search engines.
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Dilations, Completely Positive Maps And Geometry

by B.V. Rajarama Bhat e Tirthankar Bhattacharyya

~~145,09€~~ 130,58€ 10% OFF

 This book introduces the dilation theory of operators on Hilbert spaces and its relationship to complex geometry. On the other hand, it describes the dilation theory of the symmetrized bidisc which has been developed mostly in the present century and is a very active topic of research.
ENGLISH

Stochastic Approximation: A Dynamical Systems Viewpoint

by Vivek S. Borkar

~~98,71€~~ 88,84€ 10% OFF

 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.
ENGLISH

Elementary Convexity With Optimization

by K. S. Mallikarjuna Rao e Vivek S. Borkar

66,24€ + 10% CARD

 This book develops the concepts of fundamental convex analysis and optimization by using advanced calculus and real analysis.
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Elementary Convexity With Optimization

by K. S. Mallikarjuna Rao e Vivek S. Borkar

50,01€ + 10% CARD

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 This book develops the concepts of fundamental convex analysis and optimization by using advanced calculus and real analysis.
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Functional Analysis - Second Edition

by S. Kesavan

87,44€ + 10% CARD

 This second edition is thoroughly revised and includes several new examples and exercises. Proofs of many results have been rewritten for a greater clarity. While covering all the standard material expected of such a course, efforts have been made to illustrate the use of the topics to study differential equations and calculus of variations. The book includes a chapter on weak topologies and their applications. It also includes a chapter on the Lebesgue spaces, which discusses Sobolev spaces. The book includes a chapter on compact operators and their spectra, especially for compact self-adjoint operators on a Hilbert space. Each chapter has a large collection of exercises in the end, which give additional examples and counterexamples to the results given in the text. This book is suitable for a first course in functional analysis for graduate students who wish to pursue a career in the applications of mathematics.
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Analysis Ii - Fourth Edition

by Terence Tao

64,91€ + 10% CARD

 This is the second book of a two-volume textbook on real analysis. Both the volumes—Analysis I and Analysis II—are intended for honors undergraduates who have already been exposed to calculus. The emphasis is on rigor and foundations. The material starts at the very beginning—the construction of number systems and set theory (Analysis I, Chaps. 1-5), then on to the basics of analysis such as limits, series, continuity, differentiation, and Riemann integration (Analysis I, Chaps. 6-11 on Euclidean spaces, and Analysis II, Chaps. 1-3 on metric spaces), through power series, several variable calculus, and Fourier analysis (Analysis II, Chaps. 4-6), and finally to the Lebesgue integral (Analysis II, Chaps. 7-8). There are appendices on mathematical logic and the decimal system. The entire text (omitting some less central topics) is taught in two quarters of twenty-five to thirty lectures each.
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Analysis I - Fourth Edition

by Terence Tao

58,29€ + 10% CARD

 This is the first book of a two-volume textbook on real analysis. Both the volumes—Analysis I and Analysis II—are intended for honors undergraduates who have already been exposed to calculus. The emphasis is on rigor and foundations. The material starts at the very beginning—the construction of number systems and set theory (Analysis I, Chaps. 1-5), then on to the basics of analysis such as limits, series, continuity, differentiation, and Riemann integration (Analysis I, Chaps. 6-11 on Euclidean spaces, and Analysis II, Chaps. 1-3 on metric spaces), through power series, several variable calculus, and Fourier analysis (Analysis II, Chaps. 4-6), and finally to the Lebesgue integral (Analysis II, Chaps. 7-8). There are appendices on mathematical logic and the decimal system. The entire text (omitting some less central topics) is in two quarters of twenty-five to thirty lectures each.
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Elements Of Dynamical Systems

104,68€ + 10% CARD

 This book stems from lectures that were delivered at the three-week Advanced Instructional School on Ergodic Theory and Dynamical Systems held at the Indian Institute of Technology Delhi, from 4-23 December 2017, with the support of the National Centre for Mathematics, National Board for Higher Mathematics, Department of Atomic Energy, Government of India. The book discusses various aspects of dynamical systems. Each chapter of this book specializes in one aspect of dynamical systems and thus begins at an elementary level and goes on to cover fairly advanced material. The book helps researchers be familiar with and navigate through different parts of ergodic theory and dynamical systems.
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First Course In Graph Theory And Combinatorics - Second Edition

by M. Ram Murty e Sebastian M. Cioaba

66,24€ + 10% CARD

 This book discusses the origin of graph theory from its humble beginnings in recreational mathematics to its modern setting or modeling communication networks, as is evidenced by the World Wide Web graph used by many Internet search engines.
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A First Course In Graph Theory And Combinatorics - Second Edition

by M. Ram Murty e Sebastian M. Cioaba

67,58€ + 10% CARD

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 This book discusses the origin of graph theory from its humble beginnings in recreational mathematics to its modern setting or modeling communication networks, as is evidenced by the World Wide Web graph used by many Internet search engines.
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Nonlinear Functional Analysis: A First Course

by S. Kesavan

52,99€ + 10% CARD

 The book discusses the basic theory of topological and variational methods used in solving nonlinear equations involving mappings between normed linear spaces. It is meant to be a primer of nonlinear analysis and is designed to be used as a text or reference book by graduate students. Frechet derivative, Brouwer fixed point theorem, Borsuk''s theorem, and bifurcation theory along with their applications have been discussed. Several solved examples and exercises have been carefully selected and included in the present edition. The prerequisite for following this book is the basic knowledge of functional analysis and topology.
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The Socialist Market Economy In Asia - Development In China, Vietnam And Laos

135,18€ + 10% CARD

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 This book is intended for policy-makers, academics and students of development studies, area studies, political economy, geography and political science.
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Spectral Theory Of Dynamical Systems - Second Edition

by Mahendra Nadkarni

106,80€ + 10% CARD

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 This book discusses basic topics in the spectral theory of dynamical systems. Lastly, the second edition includes a new chapter â€œCalculus of Generalized Riesz Productsâ€, which discusses the recent work connecting generalized Riesz products, Hardy classes, Banach's problem of simple Lebesgue spectrum in ergodic theory and flat polynomials.
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The Socialist Market Economy In Asia - Development In China, Vietnam And Laos

135,18€ + 10% CARD

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 This book is intended for policy-makers, academics and students of development studies, area studies, political economy, geography and political science.
ENGLISH

Diophantine Approximation And Dirichlet Series

by Hervé Quéffelec e Martine Queffelec

145,09€ + 10% CARD

 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 connections between these two domains which often occur through the Kronecker approximation theorem and the Bohr lift. The book initially discusses Harmonic analysis, including a sharp form of the uncertainty principle, Ergodic theory and Diophantine approximation, basics on continued fractions expansions, and the mixing property of the Gauss map and goes on to present the general theory of Dirichlet series with classes of examples connected to continued fractions, Bohr lift, sharp forms of the Bohnenblust-Hille theorem, Hardy-Dirichlet spaces, composition operators of the Hardy-Dirichlet space, and much more. Proofs throughout the book mix Hilbertian geometry, complex and harmonic analysis,number theory, and ergodic theory, featuring the richness of analytic theory of Dirichlet series. This self-contained book benefits beginners as well as researchers.
ENGLISH

Spectral Theory Of Dynamical Systems - Second Edition

by Mahendra Nadkarni

145,09€ + 10% CARD

 This book discusses basic topics in the spectral theory of dynamical systems. Lastly, the second edition includes a new chapter â€œCalculus of Generalized Riesz Productsâ€, which discusses the recent work connecting generalized Riesz products, Hardy classes, Banach's problem of simple Lebesgue spectrum in ergodic theory and flat polynomials.
ENGLISH

Spectral Theory Of Dynamical Systems - Second Edition

by Mahendra Nadkarni

106,80€ + 10% CARD

free shipping

 This book discusses basic topics in the spectral theory of dynamical systems. Lastly, the second edition includes a new chapter â€œCalculus of Generalized Riesz Productsâ€, which discusses the recent work connecting generalized Riesz products, Hardy classes, Banach's problem of simple Lebesgue spectrum in ergodic theory and flat polynomials.
ENGLISH

Spectral Theory Of Dynamical Systems

by M.G. Nadkarni

72,94€ + 10% CARD

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 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 construction and proof.
ENGLISH

Measure And Integration

by S. Kesavan

49,01€ + 10% CARD

 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.
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