[PDF.73nw] An Introduction to Morse Theory (Translations of Mathematical Monographs, Vol. 208)

An Introduction to Morse Theory (Translations of Mathematical Monographs, Vol. 208)

[PDF.kp97] An Introduction to Morse Theory (Translations of Mathematical Monographs, Vol. 208)

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 | #1154494 in Books |  American Mathematical Society |  2001-12-07 | Original language:English | PDF # 1 |  8.25 x5.25 x.50l,1.00 | File type: PDF | 219 pages

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||2 of 2 people found the following review helpful.| A great introduction to Morse Theory|By Gabriel Islambouli|I have now read this book cover to cover and really enjoyed it! I am a second year graduate student and the book seemed to be at about the right level for me. That being said, I feel like it can be read by an advanced undergraduate since all theorems used are clearly stated and details are always presented. In fact, my| |"The first two-thirds of the book is accessible to anyone with knowledge of calculus in $\mathbf{R}^n$ and elementary topology. The book begins with the basic ideas of Morse theory ... on surfaces. This avoids some of the technical problems of the higher-dimen

In a very broad sense, "spaces" are objects of study in geometry, and "functions" are objects of study in analysis. There are, however, deep relations between functions defined on a space and the shape of the space, and the study of these relations is the main theme of Morse theory. In particular, its feature is to look at the critical points of a function, and to derive information on the shape of the space from the information about the critical points.

Morse theory...

You easily download any file type for your gadget.An Introduction to Morse Theory (Translations of Mathematical Monographs, Vol. 208)   |  Yukio Matsumoto. A good, fresh read, highly recommended.

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