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Morse Theory (Annals of Mathematic Studies AM-51) Paperback – May 1, 1963

ISBN-13: 978-0691080086 ISBN-10: 0691080089 Edition: 0th

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Product Details

  • Paperback: 160 pages
  • Publisher: Princeton University Press (May 1, 1963)
  • Language: English
  • ISBN-10: 0691080089
  • ISBN-13: 978-0691080086
  • Product Dimensions: 0.4 x 6 x 9.1 inches
  • Shipping Weight: 8 ounces (View shipping rates and policies)
  • Average Customer Review: 4.9 out of 5 stars  See all reviews (7 customer reviews)
  • Amazon Best Sellers Rank: #952,567 in Books (See Top 100 in Books)

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17 of 21 people found the following review helpful By A Customer on January 4, 2002
Format: Paperback
This book needs no review, as it is so well-known. But reading the first critique about the need for a more intuitive development of the subject, perhaps one viewpoint is worth restating. This book is a model of concise exposition. All of Milnor's works are written in a fashion that "makes it clear", except that sometimes years of thought are really needed to see the essence of the arguments. The writing sets up the framework for understanding, and the reader must work to fill it in. This is what makes it great writing. The reader accepts the truth of the statements, but Milnor does not bludgeon the reader with details which can be filled in by a professional mathematician. Or as many of us understand it, when you can fill in all the details, you have developed geometric intuition and are on the way to a deeper understanding of the subject.
Each chapter of the book is a classic. Chapter 2 on Riemannian geometry gives an overview of the subject which can be used as a basis for teaching a course on the same. When the students can fill in the details, they understand the core of the subject.
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11 of 14 people found the following review helpful By A Customer on November 17, 2000
Format: Paperback
When I was just becoming a mathematician, my teacher gave me this book, saying "You're not ready for this yet, but you should have it --- it's the best piece of mathematical exposition there is." Maybe that claim's exaggerated, but I've yet to find one I prefer. Along with Milnor's Lectures on the h-Cobordism Theorem, and his Characteristic Classes, this book is a lesson not only in topology (and wonderful topology, too!), but in clear writing as well.
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10 of 13 people found the following review helpful By A Customer on June 25, 2000
Format: Paperback
Perhaps everyone who has had a bite in topology feels that this book is too famous to be given any kind of reference. The above having been said, this book is really a gem, elegantly explaining the Bott periodicity in the spirit of the original article by Bott. Of course, a simpler proof using K-theory has been available since the sixties, but that does not deteriorate the value of this book.
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1 of 1 people found the following review helpful By James Freeman on April 6, 2013
Format: Paperback Verified Purchase
The classic work on the subject, written in the incomparable style of John Milnor. The difficult subject is explained with a simplicity and clarity which rivals how Richard Feynman was able to write about Physics.
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