COVID-19 Response at

Read what we're doing...

An Invitation to Morse Theory


Product Description
Product Details

Table of Contents

Preface.- Notations and Conventions.- 1 Morse Functions.- 2 The Topology of Morse Functions.- 3 Applications.- 4 Morse-Smale Flows and Whitney Stratifications.- 5 Basics of Complex Morse Theory.- 6 Exercises and Solutions.- References.- Index

About the Author

Liviu Nicolaescu is currently Professor of Mathematics at the University of Notre Dame.


From the reviews of the first edition: "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 ... ." (Arpad 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)

Ask a Question About this Product More...
Write your question below:
Look for similar items by category
How Fishpond Works
Fishpond works with suppliers all over the world to bring you a huge selection of products, really great prices, and delivery included on over 25 million products that we sell. We do our best every day to make Fishpond an awesome place for customers to shop and get what they want — all at the best prices online.
Webmasters, Bloggers & Website Owners
You can earn a 8% commission by selling An Invitation to Morse Theory (Universitext) on your website. It's easy to get started - we will give you example code. After you're set-up, your website can earn you money while you work, play or even sleep! You should start right now!
Authors / Publishers
Are you the Author or Publisher of a book? Or the manufacturer of one of the millions of products that we sell. You can improve sales and grow your revenue by submitting additional information on this title. The better the information we have about a product, the more we will sell!
Item ships from and is sold by Fishpond World Ltd.
Back to top