Ebook Free An Epsilon of Room Real Analysis: Pages from Year Three of a Mathematical Blog (Graduate Studies in Mathematics)

Ebook Free An Epsilon of Room Real Analysis: Pages from Year Three of a Mathematical Blog (Graduate Studies in Mathematics)

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An Epsilon of Room Real Analysis: Pages from Year Three of a Mathematical Blog (Graduate Studies in Mathematics)

Ebook Free An Epsilon of Room Real Analysis: Pages from Year Three of a Mathematical Blog (Graduate Studies in Mathematics)

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Review

It is a nice contribution to the current literature by one of the leading mathematicians in the world and can only be warmly recommended to everybody interested in these topics. --Monatshafte für Mathematik

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Product details

Series: Graduate Studies in Mathematics (Book 117)

Hardcover: 349 pages

Publisher: American Mathematical Society (December 14, 2010)

Language: English

ISBN-10: 0821852787

ISBN-13: 978-0821852781

Product Dimensions:

7 x 0.8 x 10 inches

Shipping Weight: 1.8 pounds (View shipping rates and policies)

Average Customer Review:

5.0 out of 5 stars

5 customer reviews

Amazon Best Sellers Rank:

#1,085,778 in Books (See Top 100 in Books)

I'm a big fan of this text. I think what makes it unique relative to other "intro. to graduate real analysis" books is (1) how much emphasis is placed on developing an intuitive and "wholesome" picture of the major theorems in real analysis. For example, each chapter motivates the following material with examples, context and potential uses in other areas of math, and each chapter itself is interspersed with various remarks. (2) The exercises are very comprehensive and explore the surrounding results to understand boundary cases, alternative perspectives, develop heuristics, and build familiarity with the material. There are a lot of exercises in this text, and they are integral to the reading. In difficulty, they range from straightforward to relatively tricky; I've yet to come across an "unapproachable" problem, perhaps because the problems are designed to be instructive rather than purely challenging.In summary, I think this text showcases a very different style of mathematics writing than you might find in Folland and Royden, likely because it emerged from posts on Prof. Tao's blog. I'd definitely recommend that any student interested in a broad and engaging introduction to graduate real analysis should check out this book.

Great

Note though, that it is a really good book to learn the theory, but it might not be the best reference book, since a part of the theory is developed in exercises.

good condition

An earlier reviewer really gives a good description on the strength of the book. My only motivation of writing this review is to sing praises and show my support for this style of writing. It is a wonderful book. I learned analysis in the past by reading Rudin, and I liked that book very much. But Prof. Tao's text is in a totally different style. My own opinion would be that both types of textbooks have their values.I can imagine that a serious student works hard through the text and gets the most out of it. But for me, due to time constraint, I read it in a more casual manner, just flipping through the pages. Yet, I still feel that I'm benefiting a lot from the book. It helps me clear my mind and see connections that I failed to see before.Overall, wonderful book! Whether you plan to work your way through it, or like me, just casually flip through it, it will be a fun experience!

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An Epsilon of Room Real Analysis: Pages from Year Three of a Mathematical Blog (Graduate Studies in Mathematics) PDF

An Epsilon of Room Real Analysis: Pages from Year Three of a Mathematical Blog (Graduate Studies in Mathematics) PDF

An Epsilon of Room Real Analysis: Pages from Year Three of a Mathematical Blog (Graduate Studies in Mathematics) PDF

An Epsilon of Room Real Analysis: Pages from Year Three of a Mathematical Blog (Graduate Studies in Mathematics) PDF