Calculus of Variations and Harmonic Maps is popular PDF and ePub book, written by Hajime Urakawa in 2013-02-15, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Calculus of Variations and Harmonic Maps can be Read Online from any device for your convenience.
Calculus of Variations and Harmonic Maps Book PDF Summary
This book provides a wide view of the calculus of variations as it plays an essential role in various areas of mathematics and science. Containing many examples, open problems, and exercises with complete solutions, the book would be suitable as a text for graduate courses in differential geometry, partial differential equations, and variational methods. The first part of the book is devoted to explaining the notion of (infinite-dimensional) manifolds and contains many examples. An introduction to Morse theory of Banach manifolds is provided, along with a proof of the existence of minimizing functions under the Palais-Smale condition. The second part, which may be read independently of the first, presents the theory of harmonic maps, with a careful calculation of the first and second variations of the energy. Several applications of the second variation and classification theories of harmonic maps are given.
Detail Book of Calculus of Variations and Harmonic Maps PDF
- Author : Hajime Urakawa
- Release : 15 February 2013
- Publisher : American Mathematical Soc.
- ISBN : 9780821894132
- Genre : Mathematics
- Total Page : 272 pages
- Language : English
- PDF File Size : 16,8 Mb
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