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The Way of Analysis, Revised Edition | Jones and Bartlett Mathematics Textbook | Real Analysis Guide for Advanced Students & Educators | Perfect for University Courses & Self-Study
The Way of Analysis, Revised Edition | Jones and Bartlett Mathematics Textbook | Real Analysis Guide for Advanced Students & Educators | Perfect for University Courses & Self-Study

The Way of Analysis, Revised Edition | Jones and Bartlett Mathematics Textbook | Real Analysis Guide for Advanced Students & Educators | Perfect for University Courses & Self-Study

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Product Description

The Way of Analysis gives a thorough account of real analysis in one or several variables, from the construction of the real number system to an introduction of the Lebesgue integral. The text provides proofs of all main results, as well as motivations, examples, applications, exercises, and formal chapter summaries. Additionally, there are three chapters on application of analysis, ordinary differential equations, Fourier series, and curves and surfaces to show how the techniques of analysis are used in concrete settings.

Customer Reviews

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I read all the reviews on this book before writing. I have read about 3 chapters of the book. I believe this is how a book aimed to teach should be written. Some of the reviewers believed that the book was too verbose. These folks must be geniuses I really wonder about their intelligence. I have read Walter Rudin's book on some ones recommendation, It just sucked. Rudin is not a book from which you can learn analysis. It is one of the crappiest books ever written. It probably makes for a good reference but if the material was learnt it is more than likely u will not need a reference. If you are like me self studying analysis you will love this book. Like one of the reviewers said, this book is an easy read.Analysis was developed over centuries and without sufficient motivation and examples it is just impossible to come to grips with the subject. A bit more explanation never hurt anyone and this book has a lot of detail and points out subtleties that are easily missed if you read some of the other books on analysis. One example is the difference between a limit point and the limit of a sequence. I did not know the difference till I read this book. I bet you some of the geniuses that read Rudin believe they are the same.I also liked the development of Reals as equivalence classes of sequences of rationals it makes so much sense to do it that way. Rudin in his infinite wisdom chose to develop the real numbers as a field/dedikind cuts, go figure.For any undergraduate or graduate student looking at analysis for the first time this is a book one must have.