Enter your mobile number below and we'll send you a link to download the free Kindle App. Then you can start reading Kindle books on your smartphone, tablet, or computer - no Kindle device required.
Getting the download link through email is temporarily not available. Please check back later.

  • Apple
  • Android
  • Windows Phone
  • Android

To get the free app, enter your mobile phone number.

An Invitation to Morse Theory (Universitext) 2nd ed. 2011 Edition

ISBN-13: 978-1461411048
ISBN-10: 1461411041
Why is ISBN important?
This bar-code number lets you verify that you're getting exactly the right version or edition of a book. The 13-digit and 10-digit formats both work.
Scan an ISBN with your phone
Use the Amazon App to scan ISBNs and compare prices.
Have one to sell? Sell on Amazon
Buy used On clicking this link, a new layer will be open
$40.04 On clicking this link, a new layer will be open
Buy new On clicking this link, a new layer will be open
$79.99 On clicking this link, a new layer will be open
More Buying Choices
31 New from $53.98 16 Used from $40.04
Free Two-Day Shipping for College Students with Prime Student Free%20Two-Day%20Shipping%20for%20College%20Students%20with%20Amazon%20Student

The Amazon Book Review
The Amazon Book Review
Author interviews, book reviews, editors picks, and more. Read it now
$79.99 FREE Shipping. In Stock. Ships from and sold by Amazon.com. Gift-wrap available.
click to open popover

Frequently Bought Together

  • An Invitation to Morse Theory (Universitext)
  • +
  • Morse Theory and Floer Homology (Universitext)
Total price: $169.98
Buy the selected items together

Editorial Reviews


From the reviews:

"Morse theory, a tool within differential topology, strategically studies a given abstract smooth manifold by first imposing on it a nearly arbitrary numerical function, and then cleverly extracting from it purely topological information. … Undergraduates will see that the foundations of this advanced topic build directly on a(n honest) course in multivariable calculus … . Primarily for mathematics students. Summing Up: Recommended. Upper-division undergraduates through professionals." (D. V. Feldman, CHOICE, Vol. 45 (6), February, 2008)

"The book is a nicely written self-contained introduction to Morse theory … will be useful for mathematicians of various levels, including graduate students and researchers." (Michael Farber, Zentralblatt MATH, Vol. 1131, 2008)

"Nicolaescu’s book starts with the basics of Morse theory over the reals … . The discussion continuously presents some really nice and well chosen applications of the theory, and finally lets the reader see, that the whole theory can go on to complex, where the set of regular values, that is disconnected by nature over the reals, becomes connected. … This book is warmly recommended for interested graduate students and researcher … ." (Árpád Kurusa, Acta Scientiarum Mathematicarum, Vol. 74, 2008)

"Nicolaescu’s book complements previous books on Morse theory by quickly developing the foundations of the subject in terms of gradient-like vector fields and discussing applications not found in other books on Morse theory. … the book is recommended for graduate students and researchers … ." (David E. Hurtubise, Mathematical Reviews, Issue 2009 m)

From the reviews of the second edition:

“The present book provides a wonderful presentation of concepts and ideas as well as problems with their solutions in Morse Theory, an important and challenging part of Differential Topology. … The book ends with an useful and relevant bibliography containing 85 references. It also contains an index of symbols and a subject index. … ‘The book will be useful for mathematicians of various levels, including graduate students and researchers’.” (Dorin Andrica, Zentralblatt MATH, Vol. 1238, 2012)

From the Back Cover

This self-contained treatment of Morse theory focuses on applications and is intended for a graduate course on differential or algebraic topology. The book is divided into three conceptually distinct parts. The first part contains the foundations of Morse theory. The second part consists of applications of Morse theory over the reals, while the last part describes the basics and some applications of complex Morse theory, a.k.a. Picard-Lefschetz theory.
This is the first textbook to include topics such as Morse-Smale flows, Floer homology, min-max theory, moment maps and equivariant cohomology, and complex Morse theory. The exposition is enhanced with examples, problems, and illustrations, and will be of interest to graduate students as well as researchers. The reader is expected to have some familiarity with cohomology theory and with the differential and integral calculus on smooth manifolds.
Some features of the second edition include added applications, such as Morse theory and the curvature of  knots, the cohomology of the moduli space of planar polygons, and the Duistermaat-Heckman formula. The second edition also includes a new chapter on Morse-Smale flows and Whitney stratifications, many new exercises, and various corrections from the first edition.

New York Times best sellers
Browse the New York Times best sellers in popular categories like Fiction, Nonfiction, Picture Books and more. See more

Product Details

Customer Reviews

There are no customer reviews yet.
5 star
4 star
3 star
2 star
1 star
Share your thoughts with other customers

Set up an Amazon Giveaway

An Invitation to Morse Theory (Universitext)
Amazon Giveaway allows you to run promotional giveaways in order to create buzz, reward your audience, and attract new followers and customers. Learn more about Amazon Giveaway
This item: An Invitation to Morse Theory (Universitext)