FreeComputerBooks.com
Links to Free Computer, Mathematics, Technical Books all over the World


 Title: Elementary Real Analysis
 Author(s) Brian S. Thomson, Judith B. Bruckner, Andrew M. Bruckner
 Publisher: CreateSpace; 2nd edition (April 7, 2008); eBook (Online Edition)
 Paperback: 684 pages
 eBook: PDF (1013 pages) and Google Books
 Language: English
 ISBN10/ASIN: 143484367X
 ISBN13: 9781434843678
 Share This:
Book Description
This book is written in a rigorous, yet reader friendly style with motivational and historical material that emphasizes the 'big picture' and makes proofs seem natural rather than mysterious. Introduces key concepts such as point set theory, uniform continuity of functions and uniform convergence of sequences of functions. Covers metric spaces. Ideal for readers interested in mathematics, particularly in advanced calculus and real analysis.
About the Authors Brian S. Thomson is Professor Emeritus in the Mathematics Department of Simon Fraser University.
 Calculus and Mathematical Analysis
 Algebra, Abstract Algebra (Groups, Rings, and Fields), and Linear Algebra, etc.
 Elementary Real Analysis (Brian S. Thomson, et al)
 The Mirror Site (1)  PDF
 The Mirror Site (2)  Google Books

A Primer of Real Analysis (Dan Sloughter)
This is a short introduction to the fundamentals of real analysis, written the text assuming the reader has the level of mathematical maturity of one who has completed the standard sequence of calculus courses.

Measure, Integration and Real Analysis (Sheldon Axler)
This textbook welcomes students into the fundamental theory of measure, integration, and real analysis. Focusing on an accessible approach, it lays the foundations for further study by promoting a deep understanding of key results.

How We Got from There to Here: A Story of Real Analysis
This book is an introductory real analysis textbook, presented through the lens of history. The definitions and techniques are motivated by the actual difficulties encountered by the intuitive approach and are presented in their historical context.

Real Variables with Basic Metric Space Topology (Robert B. Ash)
Designed for a first course in real variables, this text presents the fundamentals for more advanced mathematical work, particularly in the areas of complex variables, measure theory, differential equations, functional analysis, and probability.

Basic Real Analysis (Anthony W. Knapp)
This is a comprehensive treatment with a global view of the Real Analysis, emphasizing the connections between real analysis and other branches of mathematics. Included throughout are many examples and hundreds of problems.

Interactive Real Analysis (Bert G. Wachsmuth)
An interactive textbook for Real Analysis or Advanced Calculus in one real variable. It deals with sets, sequences, series, continuity, differentiability, integrability (Riemann and Lebesgue), topology, power series, and more.

Introduction to Real Analysis (William F. Trench)
Using an extremely clear and informal approach, this book introduces readers to a rigorous understanding of mathematical analysis and presents challenging math concepts as clearly as possible.

An Introduction to Measure Theory (Terrence Tao)
This is a graduate text introducing the fundamentals of measure theory and integration theory, which is the foundation of modern real analysis, intended to cover a quarter or semester's worth of material for a first graduate course in real analysis.
:






















