Principles of Real Analysis

Author: Charalambos D. Aliprantis,Owen Burkinshaw

Publisher: Gulf Professional Publishing

ISBN: 9780120502578

Category: Mathematics

Page: 415

View: 4068

DOWNLOAD NOW »

With the success of its previous editions, Principles of Real Analysis, Third Edition, continues to introduce students to the fundamentals of the theory of measure and functional analysis. In this thorough update, the authors have included a new chapter on Hilbert spaces as well as integrating over 150 new exercises throughout. The new edition covers the basic theory of integration in a clear, well-organized manner, using an imaginative and highly practical synthesis of the "Daniell Method" and the measure theoretic approach. Students will be challenged by the more than 600 exercises contained in the book. Topics are illustrated by many varied examples, and they provide clear connections between real analysis and functional analysis. 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
Release

Principles of Real Analysis

Author: Charalambos D. Aliprantis,Owen Burkinshaw

Publisher: Elsevier

ISBN: 0128015020

Category: Mathematics

Page: 304

View: 1886

DOWNLOAD NOW »

This major textbook on real analysis is now available in a corrected and slightly amended reprint. It covers the basic theory of integration in a clear, well-organized manner using an imaginative and highly practical synthesis of the 'Daniell method' and the measure-theoretic approach. It is the ideal text for senior undergraduate and first-year graduate courses in real analysis, assuming student familiarity with advanced calculus and basic algebraic concepts.
Release

Problems in Real Analysis

A Workbook with Solutions

Author: Charalambos D. Aliprantis,Owen Burkinshaw

Publisher: N.A

ISBN: 9780120502530

Category: Mathematics

Page: 403

View: 9737

DOWNLOAD NOW »

This volume aims to teach the basic methods of proof and problem-solving by presenting the complete solutions to over 600 problems that appear in the companion "Principles of Real Analysis", 3rd edition.
Release

Principles of Mathematical Analysis

Author: Walter Rudin

Publisher: McGraw-Hill Publishing Company

ISBN: 9780070856134

Category: Mathematics

Page: 342

View: 2510

DOWNLOAD NOW »

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.
Release

Real Analysis and Applications

Theory in Practice

Author: Kenneth R. Davidson,Allan P. Donsig

Publisher: Springer Science & Business Media

ISBN: 0387980989

Category: Mathematics

Page: 513

View: 8492

DOWNLOAD NOW »

This new approach to real analysis stresses the use of the subject with respect to applications, i.e., how the principles and theory of real analysis can be applied in a variety of settings in subjects ranging from Fourier series and polynomial approximation to discrete dynamical systems and nonlinear optimization. Users will be prepared for more intensive work in each topic through these applications and their accompanying exercises. This book is appropriate for math enthusiasts with a prior knowledge of both calculus and linear algebra.
Release

Problems in Real Analysis

Advanced Calculus on the Real Axis

Author: Teodora-Liliana Radulescu,Vicentiu D. Radulescu,Titu Andreescu

Publisher: Springer Science & Business Media

ISBN: 0387773789

Category: Mathematics

Page: 452

View: 5873

DOWNLOAD NOW »

Problems in Real Analysis: Advanced Calculus on the Real Axis features a comprehensive collection of challenging problems in mathematical analysis that aim to promote creative, non-standard techniques for solving problems. This self-contained text offers a host of new mathematical tools and strategies which develop a connection between analysis and other mathematical disciplines, such as physics and engineering. A broad view of mathematics is presented throughout; the text is excellent for the classroom or self-study. It is intended for undergraduate and graduate students in mathematics, as well as for researchers engaged in the interplay between applied analysis, mathematical physics, and numerical analysis.
Release

Real Analysis with Real Applications

Author: Kenneth R. Davidson,Allan P. Donsig

Publisher: N.A

ISBN: 9780130416476

Category: Mathematics

Page: 624

View: 4676

DOWNLOAD NOW »

For one/two-semester undergraduate courses in real analysis. Using a progressive but flexible format, this text develops the principles of real analysis and shows how they can be used in a wide variety of applications.
Release

Basic Real Analysis

Author: Houshang H. Sohrab

Publisher: Springer

ISBN: 1493918419

Category: Mathematics

Page: 683

View: 2405

DOWNLOAD NOW »

This expanded second edition presents the fundamentals and touchstone results of real analysis in full rigor, but in a style that requires little prior familiarity with proofs or mathematical language. The text is a comprehensive and largely self-contained introduction to the theory of real-valued functions of a real variable. The chapters on Lebesgue measure and integral have been rewritten entirely and greatly improved. They now contain Lebesgue’s differentiation theorem as well as his versions of the Fundamental Theorem(s) of Calculus. With expanded chapters, additional problems, and an expansive solutions manual, Basic Real Analysis, Second Edition is ideal for senior undergraduates and first-year graduate students, both as a classroom text and a self-study guide. Reviews of first edition: The book is a clear and well-structured introduction to real analysis aimed at senior undergraduate and beginning graduate students. The prerequisites are few, but a certain mathematical sophistication is required. ... The text contains carefully worked out examples which contribute motivating and helping to understand the theory. There is also an excellent selection of exercises within the text and problem sections at the end of each chapter. In fact, this textbook can serve as a source of examples and exercises in real analysis. —Zentralblatt MATH The quality of the exposition is good: strong and complete versions of theorems are preferred, and the material is organised so that all the proofs are of easily manageable length; motivational comments are helpful, and there are plenty of illustrative examples. The reader is strongly encouraged to learn by doing: exercises are sprinkled liberally throughout the text and each chapter ends with a set of problems, about 650 in all, some of which are of considerable intrinsic interest. —Mathematical Reviews [This text] introduces upper-division undergraduate or first-year graduate students to real analysis.... Problems and exercises abound; an appendix constructs the reals as the Cauchy (sequential) completion of the rationals; references are copious and judiciously chosen; and a detailed index brings up the rear. —CHOICE Reviews
Release