Author: Walter Rudin

Publisher:

ISBN:

Category: Mathematical analysis

Page: 270

View: 498

Author: Charalambos D. Aliprantis

Publisher: Gulf Professional Publishing

ISBN:

Category: Mathematics

Page: 415

View: 275

The new, Third Edition of this successful text covers the basic theory of integration in a clear, well-organized manner. The authors present an imaginative and highly practical synthesis of the "Daniell method" and the measure theoretic approach. It is the ideal text for undergraduate and first-year graduate courses in real analysis. This edition offers a new chapter on Hilbert Spaces and integrates over 150 new exercises. New and varied examples are included for each chapter. Students will be challenged by the more than 600 exercises. Topics are treated rigorously, illustrated by examples, and offer a clear connection between real and functional analysis. This text can be used in combination with the authors' Problems in Real Analysis, 2nd Edition, also published by Academic Press, which offers complete solutions to all exercises in the Principles text. Key Features: * Gives a unique presentation of integration theory * Over 150 new exercises integrated throughout the text * Presents a new chapter on Hilbert Spaces * Provides a rigorous introduction to measure theory * Illustrated with new and varied examples in each chapter * Introduces topological ideas in a friendly manner * Offers a clear connection between real analysis and functional analysis * Includes brief biographies of mathematicians "All in all, this is a beautiful selection and a masterfully balanced presentation of the fundamentals of contemporary measure and integration theory which can be grasped easily by the student." --J. Lorenz in Zentralblatt für Mathematik "...a clear and precise treatment of the subject. There are many exercises of varying degrees of difficulty. I highly recommend this book for classroom use." --CASPAR GOFFMAN, Department of Mathematics, Purdue University

Author: Kit-Wing Yu

Publisher:

ISBN:

Category: Mathematical analysis

Page: 380

View: 736

Author: Walter Rudin

Publisher:

ISBN:

Category: Mathematical analysis

Page:

View: 639

Author: Walter RUDIN

Publisher:

ISBN:

Category:

Page: 270

View: 629

Author: W.·鲁丁 (美)

Publisher:

ISBN:

Category: Mathematical analysis

Page: 342

View: 283

责任者译名:鲁丁。

Author: B.S. Vatsa

Publisher:

ISBN:

Category: Beta functions

Page: 300

View: 427

Author: Casper Geller

Publisher:

ISBN:

Category: Mathematics

Page: 230

View: 967

Mathematical analysis is a domain of mathematics that deals with limits and other related theories such as, measure, infinite series, differentiation, integration, and analytical functions. All of these theories are often studied in the context of real and complex numbers along with their functions. The main branches of mathematical analysis include real analysis, complex analysis and functional analysis. The fundamental concepts of this field are metric spaces and sequences and limits. Mathematical analysis has evolved from calculus that includes elementary techniques and concepts of analysis. It can be applied to any space of those mathematical objects that have a topological space or a metric space. This book contains some path-breaking studies in the field of mathematical analysis. It studies and analyzes various principles of mathematical analysis. It is appropriate for students seeking detailed information in this area as well as for experts.

Author: Robert C. Frese

Publisher:

ISBN:

Category: Mathematical analysis

Page: 103

View: 316

Author: Walter Rudin

Publisher:

ISBN:

Category:

Page: 306

View: 713

Author: Walter Rudin

Publisher:

ISBN:

Category:

Page: 351

View: 319

The third edition of this well known text continues to provide a solid foundation in mathematical analysis for undergraduate and first-year graduate students. The text begins with a discussion of the real number system as a complete ordered field. (Dedekind's construction is now treated in an appendix to Chapter I.) The topological background needed for the development of convergence, continuity, differentiation and integration is provided in Chapter 2. There is a new section on the gamma function, and many new and interesting exercises are included. This text is part of the Walter Rudin Student Series in Advanced Mathematics.

Author: Walter Rudin

Publisher:

ISBN:

Category: Mathematical analysis

Page: 241

View: 213

Author: S. C. Malik

Publisher: New Age International

ISBN:

Category: Calculus

Page: 379

View: 684

Author: Walter Curtis Johnson

Publisher:

ISBN:

Category: Engineering

Page: 346

View: 430

Author: E. Hewitt

Publisher: Springer

ISBN:

Category: Mathematics

Page: 476

View: 374

This book is first of all designed as a text for the course usually called "theory of functions of a real variable". This course is at present cus tomarily offered as a first or second year graduate course in United States universities, although there are signs that this sort of analysis will soon penetrate upper division undergraduate curricula. We have included every topic that we think essential for the training of analysts, and we have also gone down a number of interesting bypaths. We hope too that the book will be useful as a reference for mature mathematicians and other scientific workers. Hence we have presented very general and complete versions of a number of important theorems and constructions. Since these sophisticated versions may be difficult for the beginner, we have given elementary avatars of all important theorems, with appro priate suggestions for skipping. We have given complete definitions, ex planations, and proofs throughout, so that the book should be usable for individual study as well as for a course text. Prerequisites for reading the book are the following. The reader is assumed to know elementary analysis as the subject is set forth, for example, in TOM M. ApOSTOL'S Mathematical Analysis [Addison-Wesley Publ. Co., Reading, Mass., 1957], or WALTER RUDIN'S Principles of M athe nd matical Analysis [2 Ed., McGraw-Hill Book Co., New York, 1964].

Author: Cram101 Textbook Reviews

Publisher: Academic Internet Pub Incorporated

ISBN:

Category: Education

Page: 166

View: 443

Never HIGHLIGHT a Book Again! Virtually all of the testable terms, concepts, persons, places, and events from the textbook are included. Cram101 Just the FACTS101 studyguides give all of the outlines, highlights, notes, and quizzes for your textbook with optional online comprehensive practice tests. Only Cram101 is Textbook Specific. Accompanys: 9780070542358 .

Author: Shanti Narayan | PK Mittal

Publisher: S. Chand Publishing

ISBN:

Category: Mathematics

Page: 482

View: 416

A Course of Mathematical Analysis

Author: aaa

Publisher: Elsevier

ISBN:

Category: Science

Page: 194

View: 188

Spontaneous Phenomena: A Mathematical Analysis covers certain aspects in the teaching of mathematics, including historical perspective, model-building, and the inner nature of mathematics. This book is organized into 12 chapters beginning with the development of the relevant mathematics and physics. This topic is followed by considerable chapters on the theoretical and statistical principles of mathematical analysis, with an emphasis on a model for a radioactive decay. Other chapters discuss various phenomena within biology, medicine, statistics of medicine, determination of age, traffic analysis, and other fields. The concluding chapters present the fundamentals of the Poisson approximation to the binomial distribution and the chi-square test for goodness of fit. This book is an ideal source for mathematics and physics pre-college and early college students.

Author: Augustin Louis Baron Cauchy

Publisher: World Scientific

ISBN:

Category: Mathematics

Page: 975

View: 510

This volume aims at surveying and exposing the main ideas and principles accumulated in a number of theories of Mathematical Analysis. The underlying methodological principle is to develop a unified approach to various kinds of problems. In the papers presented, outstanding research scientists discuss the present state of the art and the broad spectrum of topics in the theory.

Author: S. C. Malik

Publisher: New Age International

ISBN:

Category: Mathematical analysis

Page: 903

View: 559

The Book Is Intended To Serve As A Text In Analysis By The Honours And Post-Graduate Students Of The Various Universities. Professional Or Those Preparing For Competitive Examinations Will Also Find This Book Useful.The Book Discusses The Theory From Its Very Beginning. The Foundations Have Been Laid Very Carefully And The Treatment Is Rigorous And On Modem Lines. It Opens With A Brief Outline Of The Essential Properties Of Rational Numbers And Using Dedekinds Cut, The Properties Of Real Numbers Are Established. This Foundation Supports The Subsequent Chapters: Topological Frame Work Real Sequences And Series, Continuity Differentiation, Functions Of Several Variables, Elementary And Implicit Functions, Riemann And Riemann-Stieltjes Integrals, Lebesgue Integrals, Surface, Double And Triple Integrals Are Discussed In Detail. Uniform Convergence, Power Series, Fourier Series, Improper Integrals Have Been Presented In As Simple And Lucid Manner As Possible And Fairly Large Number Solved Examples To Illustrate Various Types Have Been Introduced.As Per Need, In The Present Set Up, A Chapter On Metric Spaces Discussing Completeness, Compactness And Connectedness Of The Spaces Has Been Added. Finally Two Appendices Discussing Beta-Gamma Functions, And Cantors Theory Of Real Numbers Add Glory To The Contents Of The Book.