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Isolated Invariant Sets and the Morse Index

A co-publication of the AMS and CBMS
Available Formats:
Softcover ISBN: 978-0-8218-1688-2
Product Code: CBMS/38
List Price: $31.00 Individual Price:$24.80
Electronic ISBN: 978-1-4704-2398-8
Product Code: CBMS/38.E
List Price: $29.00 Individual Price:$23.20
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List Price: $46.50 Click above image for expanded view Isolated Invariant Sets and the Morse Index A co-publication of the AMS and CBMS Available Formats:  Softcover ISBN: 978-0-8218-1688-2 Product Code: CBMS/38  List Price:$31.00 Individual Price: $24.80  Electronic ISBN: 978-1-4704-2398-8 Product Code: CBMS/38.E  List Price:$29.00 Individual Price: $23.20 Bundle Print and Electronic Formats and Save! This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.  List Price:$46.50
• Book Details

CBMS Regional Conference Series in Mathematics
Volume: 381978; 89 pp
MSC: Primary 58; Secondary 34; 35;

This volume contains lectures from the Conference Board of Mathematical Sciences meeting held at the University of Colorado on May 31–June 4, 1976.

The lectures consist of an expository discussion of basic results for topological flows and a somewhat more detailed discussion of isolated invariant sets and continuation.

The construction of the index for isolated invariant sets is new and allows more general application than previous ones. Also, the index itself is endowed with more structure and the continuation theorem is modified to take this new structure into account.

Some elementary applications are given, but the main emphasis is on the abstract theory.

• Chapters
• 1. Preface
• Chapter I. On stable properties of the solution set of an ordinary differential equation
• Chapter II. Elementary properties of flows
• Chapter III. The Morse index
• Chapter IV. Continuation
• Reviews

• Every once in a while in mathematics, a strikingly original work appears which radically changes a particular field … [this book] fits this description, the area being the qualitative theory of nonlinear differential equations.

Mathematical Reviews
• Requests

Review Copy – for reviewers who would like to review an AMS book
Accessibility – to request an alternate format of an AMS title
Volume: 381978; 89 pp
MSC: Primary 58; Secondary 34; 35;

This volume contains lectures from the Conference Board of Mathematical Sciences meeting held at the University of Colorado on May 31–June 4, 1976.

The lectures consist of an expository discussion of basic results for topological flows and a somewhat more detailed discussion of isolated invariant sets and continuation.

The construction of the index for isolated invariant sets is new and allows more general application than previous ones. Also, the index itself is endowed with more structure and the continuation theorem is modified to take this new structure into account.

Some elementary applications are given, but the main emphasis is on the abstract theory.