Introduction to Analysis (3rd Edition) (Hardcover)

by William R. Wade (Author)

Editorial Reviews

Product Description

Offering readability, practicality and flexibility, Wade presents Fundamental Theorems from a practical viewpoint. Introduces central ideas of analysis in a one-dimensional setting, then covers multidimensional theory. Offers separate coverage of topology and analysis. Numbers theorems, definitions and remarks consecutively. Uniform writing style and notation. Practical focus on analysis. For those interested in learning more about analysis.

From the Publisher
Designed as a "bridge" between sophomore-level calculus to graduate-level courses that use analytic ideas, this text provides an unusually friendly, but rigorous treatment. It is friendly because the text helps link proofs together in a way that teaches students to think ahead: "Why this Theorem?" --This text refers to an out of print or unavailable edition of this title.

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Product Details

• Hardcover: 648 pages
• Publisher: Prentice Hall; 3 edition (December 15, 2003)
• Language: English
• ISBN-10: 0131453335
• ISBN-13: 978-0131453333
• Product Dimensions: 9.4 x 7.2 x 1.1 inches
• Shipping Weight: 2.4 pounds (View shipping rates and policies)
• Average Customer Review: 2.6 out of 5 stars See all reviews (13 customer reviews)
• Amazon.com Sales Rank: #337,275 in Books (See Bestsellers in Books)

Customer Reviews

Most Helpful Customer Reviews

10 of 10 people found the following review helpful:

3.0 out of 5 stars An irritating book., September 4, 2004

By	Charles R. Williams (Akron, OH United States) - See all my reviews (REAL NAME)

The strongest point of the book is the exercises. They force you to reread and understand the proofs and they build a foundation for material that is to come.

Chapter 1 (2nd edition) need a complete rewrite. How can you obfuscate something as simple as the Archimedean property in all its forms? Chapter 8 on Euclidean spaces needs to be better integrated with what the student should know from the first linear algebra course.

The author's proofs are not clear and I found myself rewriting many of them in my own words or turning to other references.

The core chapters 2-7 and 11-13 are fine - especially if you buy the approach of doing analysis first in R and then doing it a second time in R^n. This may be especially appropriate in an environment where most of the students are future high school teachers and will only take 1 advanced calculus course.

There are an unusual number of typos in the second edition. They are no longer accessible on the author's website. But hey, the 3rd edition is available, just throw out the 2nd and get the latest.

7 of 9 people found the following review helpful:

3.0 out of 5 stars +ve multidimensional analysis -ve atrocious binding, 1-dimensional analysis could've been more detailed, October 18, 2005

By	pineapple41 (MI, USA) - See all my reviews

This review is from: Introduction to Analysis (2nd Edition) (Hardcover)

This book was used in my Analysis I class. I later had to prepare again for my masters certifying exam on Analysis and the primary reason I didn't use this book, even though I owned it, was the binding. By the end of my analysis course, it was practically in individual pages. The binding is atrocious - how can a $100+ book just be sort of glued together weakly that it falls apart after 1 semester of use.

The other reason I didn't use this book was that it goes through the 1-dimensional analysis pretty fast. My chosen analysis preparation book was also supposed to be my preparation for Royden's Real Analysis but I choose a book that covers the 1-dimensional analysis in twice the amount of pages and exercises taking a more detailed topology route. So, I'd advise a little bit of caution there if this is your path to graduate level Real Analysis.

However, with the 3rd edition out, our department threw out all the old 2nd edition books. I needed a multi-dimensional analysis text to prepare for my graduate PDE course and took 3 copies of the thrown ones out.

The reason I took 3 copies was that I knew the binding was going to fall apart and sure enough it did. It sort of breaks down into little booklets each that is glued to the spine. The pages on booklet peel off real easy and soon you have just pages instead of a book.

As for the multidimensional analysis it covers, it was very entertaining and fun to do. Chapter 13 becomes a little bit in the air as the exercises get a little tedious with calculate this integral with all sorts of surfaces enclosing it and not really much exercises requring a lot of threading of analysis ideas. I don't as of yet know if it has me prepared enough for Evan's PDE book but this was the only text conviniently showed up in the "free books" bin. But, I did have a nice linear and fun writing to it and I enjoyed it. Though not much as some of my other books.

4 of 6 people found the following review helpful:

1.0 out of 5 stars Horrible Book, January 31, 2008

By	LLN (Chicago, IL) - See all my reviews

Analysis: once in R, then again in R^n? No thanks. This book is verbose when a theorem is obvious, and too brief when a big proof has just been dropped. The exercises have nothing on Kolmogorov & Fomin.

Long live Rudin!