Introduction to Real Analysis

This book introduces readers to a rigorous understanding of mathematical analysis and presents challenging math concepts as clearly as possible. For those who want to gain an understanding of mathematical analysis and challenging mathematical concepts.

**Tag(s):**
Real Analysis

**Publication date**: 14 Dec 2002

**ISBN-10**:
0130457868

**ISBN-13**:
9780130457868

**Paperback**:
574 pages

**Views**: 9,063

**Type**: Textbook

**Publisher**:
Pearson Education

**License**:
Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported

**Post time**: 26 Feb 2017 01:00:00

Introduction to Real Analysis

This book introduces readers to a rigorous understanding of mathematical analysis and presents challenging math concepts as clearly as possible. For those who want to gain an understanding of mathematical analysis and challenging mathematical concepts.

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Excerpts from the Book:

This is a text for a two-term course in introductory real analysis for junior or senior mathematics majors and engineering and science students with a serious interest in mathematics. Prospective educators of mathematically gifted high school students can also benefit from the mathematical maturity that can be gained from an introductory real analysis course.

The book is designed to fill the gaps left in the development of calculus as it is usually presented in an elementary course, and to provide the background required for insight into more advanced courses in pure and applied mathematics.

The standard elementary calculus sequence is the only specific prerequisite for Chapters 1-5, which deal with real-valued functions. (However, other analysis oriented courses, such as elementary differential equations, provide useful preparatory experience.) Chapters 6 and 7 require a working knowledge of determinants, matrices, and linear transformations, typically available from a first course in linear algebra. Chapter 8 is accessible after completion of Chapters 1-5.

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About The Author(s)

William (Bill) Trench (1931-2016) was faculty emeritus and the former Cowles Distinguished Professor of Mathematics at Trinity University. Trench joined the Trinity faculty as the Cowles Distinguished Professor in 1986. He had previously served as professor of mathematics at Drexel University from 1964 to 1986. His main research interests were in linear algebra and ordinary differential equations. He was the recipient of multiple National Science Foundation (NSF) grants.

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