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**: 9,359

**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.

You are free to:

Share — copy and redistribute the material in any medium or format

Adapt — remix, transform, and build upon the material

The licensor cannot revoke these freedoms as long as you follow the license terms.

Click**here** to read the full license.

Share — copy and redistribute the material in any medium or format

Adapt — remix, transform, and build upon the material

The licensor cannot revoke these freedoms as long as you follow the license terms.

Click

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.

Tweet

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.

Book Categories

Computer Science
Introduction to Computer Science
Introduction to Computer Programming
Algorithms and Data Structures
Artificial Intelligence
Computer Vision
Machine Learning
Neural Networks
Game Development and Multimedia
Data Communication and Networks
Coding Theory
Computer Security
Information Security
Cryptography
Information Theory
Computer Organization and Architecture
Operating Systems
Image Processing
Parallel Computing
Concurrent Programming
Relational Database
Document-oriented Database
Data Mining
Big Data
Data Science
Digital Libraries
Compiler Design and Construction
Functional Programming
Logic Programming
Object Oriented Programming
Formal Methods
Software Engineering
Agile Software Development
Information Systems
Geographic Information System (GIS)

Mathematics
Mathematics
Algebra
Abstract Algebra
Linear Algebra
Number Theory
Numerical Methods
Precalculus
Calculus
Differential Equations
Category Theory
Proofs
Discrete Mathematics
Theory of Computation
Graph Theory
Real Analysis
Complex Analysis
Probability
Statistics
Game Theory
Queueing Theory
Operations Research
Computer Aided Mathematics

Supporting Fields
Web Design and Development
Mobile App Design and Development
System Administration
Cloud Computing
Electric Circuits
Embedded System
Signal Processing
Integration and Automation
Network Science
Project Management

Operating System
Programming/Scripting
Ada
Assembly
C / C++
Common Lisp
Forth
Java
JavaScript
Lua
Rexx
Microsoft .NET
Perl
PHP
R
Python
Rebol
Ruby
Scheme
Tcl/Tk

Miscellaneous
Sponsors