Book Details
Format
Hardback or Cased Book
Book Series
Cambridge Tracts in Mathematics
ISBN-10
0521811600
ISBN-13
9780521811606
Edition
2 Revised edition
Publisher
Cambridge University Press
Imprint
Cambridge University Press
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Jun 13th, 2002
Print length
292 Pages
Weight
568 grams
Dimensions
16.00 x 23.70 x 2.30 cms
Product Classification:
Calculus & mathematical analysisCalculus and mathematical analysis
Ksh 21,800.00
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An accessible and self-contained introduction to harmonic map theory and its analytical aspects, covering recent developments in the regularity theory of weakly harmonic maps. The book will be of particular interest to graduate students and researchers in geometry, analysis of partial differential equations and mathematical physics.
The author presents an accessible and self-contained introduction to harmonic map theory and its analytical aspects, covering recent developments in the regularity theory of weakly harmonic maps. The book begins by introducing these concepts, stressing the interplay between geometry, the role of symmetries and weak solutions. The reader is then presented with a guided tour into the theory of completely integrable systems for harmonic maps, followed by two chapters devoted to recent results on the regularity of weak solutions. A self-contained presentation of 'exotic' functional spaces from the theory of harmonic analysis is given and these tools are then used for proving regularity results. The importance of conservation laws is stressed and the concept of a 'Coulomb moving frame' is explained in detail. The book ends with further applications and illustrations of Coulomb moving frames to the theory of surfaces.
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