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Isolated Invariant Sets and the Morse Index
 
A co-publication of the AMS and CBMS
Isolated Invariant Sets and the Morse Index
Softcover ISBN:  978-0-8218-1688-2
Product Code:  CBMS/38
List Price: $33.00
Individual Price: $26.40
eBook ISBN:  978-1-4704-2398-8
Product Code:  CBMS/38.E
List Price: $31.00
Individual Price: $24.80
Softcover ISBN:  978-0-8218-1688-2
eBook: ISBN:  978-1-4704-2398-8
Product Code:  CBMS/38.B
List Price: $64.00 $48.50
Isolated Invariant Sets and the Morse Index
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Isolated Invariant Sets and the Morse Index
A co-publication of the AMS and CBMS
Softcover ISBN:  978-0-8218-1688-2
Product Code:  CBMS/38
List Price: $33.00
Individual Price: $26.40
eBook ISBN:  978-1-4704-2398-8
Product Code:  CBMS/38.E
List Price: $31.00
Individual Price: $24.80
Softcover ISBN:  978-0-8218-1688-2
eBook ISBN:  978-1-4704-2398-8
Product Code:  CBMS/38.B
List Price: $64.00 $48.50
  • 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.

    Readership

  • Table of Contents
     
     
    • 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 publishers of book reviews
    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.

Readership

  • 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
  • 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
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.