Consists of two separate but closely related parts. Originally published in 1966, the first section deals with elements of integration and has been updated and corrected. The latter half details the main concepts of Lebesgue measure and uses the abstract measure space approach of the Lebesgue integral because it strikes directly at the most important results―the convergence theorems.

The Elements of Integration and Lebesgue Measure

Science & Math

Bartle, Robert G.

Mathematics

Wiley-Interscience

Presents the basic theory of real analysis. The algebraic and order properties of the real number system are presented in a simpler fashion than in the previous edition.

The Elements of Real Analysis

John Wiley and Sons

Presents the basic theory of real analysis. The algebraic and order properties of the real number system are presented in a simpler fashion than in the previous edition.

The Elements of Real Analysis, Second Edition

wiley

The Elements of Real Analysis: 2nd Ed

John Wiley and Sons Ltd.

An elementary introduction to analysis. Limits the discussion to one variable, and presents detailed explanations and examples, focusing considerable attention on error estimation and other concepts relevant to computer science.

Introduction to Real Analysis

Sherbert, Donald R.

Elements of Real Analysis

John Wiley&Sons, Inc.

In recent years, mathematics has become valuable in many areas, including economics and management science as well as the physical sciences, engineering and computer science. Therefore, this book provides the fundamental concepts and techniques of real analysis for readers in all of these areas. It helps one develop the ability to think deductively, analyze mathematical situations and extend ideas to a new context. Like the first two editions, this edition maintains the same spirit and user-friendly approach with some streamlined arguments, a few new examples, rearranged topics, and a new chapter on the Generalized Riemann Integral.

Introduction to Real Analysis, 3rd Edition

This text provides the fundamental concepts and techniques of real analysis for students in all of these areas. It helps one develop the ability to think deductively, analyze mathematical situations, and extend ideas to a new context. Like the first three editions, this edition maintains the same spirit and user-friendly approach with additional examples and expansion on Logical Operations and Set Theory. There is also content revision in the following areas: Introducing point-set topology before discussing continuity, including a more thorough discussion of limsup and limimf, covering series directly following sequences, adding coverage of Lebesgue Integral and the construction of the reals, and drawing student attention to possible applications wherever possible.

Recognizing the increased role of real analysis in economics, management engineering and computer science as well as in the physical sciences, this Second Edition meets the need for an accessible, comprehensive textbook regarding the fundamental concepts and techniques in this area of mathematics. Provides solid coverage of real analysis fundamentals with an emphasis on topics from numerical analysis and approximation theory because of their increased importance to contemporary students. Topics include real numbers, sequences, limits, continuous functions, differentiation, infinite series and more. Topological concepts are now conveniently combined into one chapter. An appendix on logic and proofs helps students in analyzing proofs of theorems.

Calculus

C. Ionescu Tulcea

Scott,Foresman

See the best price to sell, buy, or rent books by Bartle, Robert G.. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Books by Bartle, Robert G.

See the best price to sell, buy, or rent books by Bartle, Robert G.. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

The Elements of Integration and Lebesgue Measure

The Elements of Real Analysis

The Elements of Real Analysis, Second Edition

The Elements of Real Analysis: 2nd Ed

Introduction to Real Analysis

Elements of Real Analysis

Introduction to Real Analysis, 3rd Edition

Introduction to Real Analysis

Introduction to Real Analysis

Calculus