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Real Analysis, by Andrew M. Bruckner, Judith B. Bruckner, Brian S. Thomson
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This book provides an introductory chapter containing background material as well as a mini-overview of much of the course, making the book accessible to readers with varied backgrounds. It uses a wealth of examples to introduce topics and to illustrate important concepts. KEY TOPICS: Explains the ideas behind developments and proofs — showing that proofs come not from “magical methods” but from natural processes. Introduces concepts in stages, and features applications of abstract theorems to concrete settings — showing the power of an abstract approach in problem solving.
- Sales Rank: #2547163 in Books
- Published on: 1996-09-18
- Ingredients: Example Ingredients
- Original language: English
- Number of items: 1
- Dimensions: 9.25" h x 1.25" w x 6.25" l,
- Binding: Hardcover
- 736 pages
Most helpful customer reviews
6 of 6 people found the following review helpful.
Among the best math books I've ever read
By Cristos Goodrow
I am not an analyst, but this book is fun to read.
This book does something that few others textbooks accomplish - it tells an interesting and compelling story. I didn't really understand measure until reading this book, which does a great job of laying out the various competing ideas of the time and how they evolved into the current notion.
Further - and perhaps most important for a math book - is that the proofs are very clear and complete. It's true that many important concepts are left as exercises, but those that are covered in the text are covered well. In contrast, I have suffered too many math texts that attempt to cover every important result but with only short, uninformative proofs (e.g. "Proof: By Radon-Nikodym and Corollary 2 of Theorem 5 QED").
9 of 16 people found the following review helpful.
I've seen a better book
By A Customer
I'm taking a course in Real Analysis and using this text. Several difficulties arise while reading this book. It's either because I'm a weak student, or the text itself. Here are some facts about the book:
1. Many topics are covered.
2. A lot of important results have been left as exercises. And I really mean *many* ! So, you need a guide (like a teacher).
Sometimes, if you want to satisfy fact 1, you need to have fact 2. So, it's a compromise between losing some details and covering as many topics as possible.I usually (if not almost always) find myself refering to another text while reading this book....Definitely not for a beginner who wants to study by him/herself.
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