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Painleve Equations in the Differential Geometry of Surfaces (Lecture Notes in Mathematics) [Paperback]

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Item description for Painleve Equations in the Differential Geometry of Surfaces (Lecture Notes in Mathematics) by Alexander I. Bobenko...

This book brings together two different branches of mathematics: the theory of Painlev and the theory of surfaces. Self-contained introductions to both these fields are presented. It is shown how some classical problems in surface theory can be solved using the modern theory of Painlev equations. In particular, an essential part of the book is devoted to Bonnet surfaces, i.e. to surfaces possessing families of isometries preserving the mean curvature function. A global classification of Bonnet surfaces is given using both ingredients of the theory of Painlev equations: the theory of isomonodromic deformation and the Painlev property. The book is illustrated by plots of surfaces. It is intended to be used by mathematicians and graduate students interested in differential geometry and Painlev equations. Researchers working in one of these areas can become familiar with another relevant branch of mathematics.



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Item Specifications...


Pages   120
Est. Packaging Dimensions:   Length: 9" Width: 5.9" Height: 0.1"
Weight:   0.2 lbs.
Binding  Softcover
Release Date   Jan 12, 2001
Publisher   Springer
ISBN  3540414142  
ISBN13  9783540414148  


Availability  68 units.
Availability accurate as of Mar 22, 2017 06:24.
Usually ships within one to two business days from La Vergne, TN.
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More About Alexander I. Bobenko


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Product Categories

1Books > Special Features > Formats
2Books > Special Features > New & Used Textbooks > Sciences > Mathematics > Geometry
3Books > Subjects > Medicine > General
4Books > Subjects > Professional & Technical > Professional Science > Mathematics > Applied > Differential Equations
5Books > Subjects > Professional & Technical > Professional Science > Mathematics > Geometry & Topology > Differential Geometry
6Books > Subjects > Science > General
7Books > Subjects > Science > Mathematics > Applied > Differential Equations
8Books > Subjects > Science > Mathematics > General
9Books > Subjects > Science > Mathematics > Geometry & Topology > Differential Geometry



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