A Radical Approach to Real Analysis (Mathematical Association of America Textbooks) 2nd Edition
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1st edition: 'It will appeal as a text; it should be in every library as a reference.' Wayne Roberts, Choice
- Publisher : The Mathematical Association of America; 2nd edition (April 12, 2007)
- Language : English
- Hardcover : 336 pages
- ISBN-10 : 0883857472
- ISBN-13 : 978-0883857472
- Item Weight : 1.69 pounds
- Dimensions : 6.97 x 0.91 x 9.96 inches
- Best Sellers Rank: #249,664 in Books (See Top 100 in Books)
- Customer Reviews:
Top reviews from the United States
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Over the course of time--having been transformed into more of an analyst that I would have ever dreamed--I've come to the conclusion that analysis is best learned before topology.
This is a text that accomplishes that by using the historical approach.
One learns how Newton approached problems, how Euler did, how Cauchy did. Not only is it interesting, it is enlightening. I've taught this course for 15 years now, and of all of the approaches I've taken, this has been the most fruitful.
My students have come from calculational courses, and the historical approach of this book provides a bridge over which they may come into the land of proof. They also see the issues that caused the need for modern rigor face to face
I do supplement the course with material that is more modern (Hardy's book A Course of Pure Mathematics) and material on the Riemann integral, but I've been spoiled for any other approach.
I purchased this book, after reading about it in the Mathematical Association of America (MAA). For autodidacts like myself, it is a good first introduction to the topic.
If you want to review Analysis in a different manner than you first learned, this book is excellent at presenting it in an interesting way with different terminology.
If you are learning Analysis for the very first time, avoid this book. From a student's perspective, this lopsided approach coupled with almost no examples makes learning purely from this very difficult. As a supplement, it excels, but professors should think twice before using this as a primary text.
Awe inspiring to say the least. Positively the best book on the how, why and when of classical analysis. To say it simply: It's incomparable. Love it and cannot put it down. For a self-learning scientist/engineer an intensely practical approach. Mathematicians should take note...
Top reviews from other countries
I find it a very interesting introduction to real analysis, that differs pretty much from other books on the same topics.
Although the book lacks more advanced topics, those who are very familiar with analysis and calculus will also benefit from it, and definitely give a new perception of the field. I would recommend it particularly for undergraduate teachers, as its pragmatic approach tends to create a sort of attraction for the topics examined.
Proofs are very clearly described, and I could also find some different approaches that revealed to be more intuitive than the most traditional ones.