Elementary Real Analysis

By Andrew M. Bruckner, Judith B. Bruckner, Brian S. Thomson

Book Overview

This is the second edition of the text Elementary Real Analysis originally published by Prentice Hall (Pearson) in 2001.Chapter 1. Real NumbersChapter 2. SequencesChapter 3. Infinite sumsChapter 4.... This description may be from another edition of this product.

• Format: Hardcover
• Language: English
• ISBN: 0130190756
• ISBN13: 9780130190758
• Release Date: December 2000
• Publisher: Prentice Hall
• Length: 58 Pages
• Weight: 2.80 lbs.
• Dimensions: 9.3" x 1.3" x 7.0"

Customer Reviews

recommended to analysis newbie

This book is, in my opinoin, very friendly written. Compared to baby Rudin, in which proofs are usually condensed and hard to be followed by beginners (excellent resource for advanced people though), proofs in this book are just compact enough - crystal clear, not too concise, and I don't see too many redundant explainations either. Here each notion (definition) is written with friendly motivations so that it is easy to gain the inside feelings. This book aims on the elementary level analysis. It begins with the elementary ideas of sup & infs, sequences and series, basic topology in real numbers. Moving to theories of single variable calculus - continuity, derivatives and intergals, then followed by sequences of functions, power series and multivariable calculus, it ends with a final chapter on metric spaces. The book is quite comprehensive in many small branches. Small concepts which may be ignored in a short term course or a small book, for example "completion of metric spaces", are available in enrichment sections (not problem sets!) with motivated explainations. The authors also kindly label out advanced topics so people using it for self study don't get lost. I recommend this title to analysis beginners. It is excellent for both self study and an enrichment of your analysis culture.

A good book

There is no escape from the fact that analysis is hard.I have spent a full year (academic year) with this book. Furthermore, I have several other texts on analysis compare to this one. This book is the best I have seen.A few more examples would a be nice addition. However, where present, the illustrations are excellent.I think the authors did a very commendable job on material.

Mathematical Engineers Love it!

This book is really a great book, having so far completed 8 courses in mathematical sciences, this is the best textbook I have seen so far. It has as many examples as a applied book on Differiential Equations text. Historical Perspectives that are found in pure algebra texts, and the authors talk to you in a clear consice mannor that really helps promote undestanding

Excellent Book

I have taken many more math courses since taking a first course in analysis using this book, and still it has much to offer me.It is rich in examples, motivation, intuition, and enrichment, making it easy to learn from, and hard to remove from your shelf.