Title: Cartesian Currents in the Calculus of Variations I: Cartesian Currents (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics)
Publisher: Springer
Publication Date: 2010
Language: English
ISBN 10: 3642083749
ISBN 13: 9783642083747
Binding: Soft cover
Condition: New

About this title

Synopsis

This monograph (in two volumes) deals with non scalar variational problems arising in geometry, as harmonic mappings between Riemannian manifolds and minimal graphs, and in physics, as stable equilibrium configuations in nonlinear elasticity or for liquid crystals. The presentation is selfcontained and accessible to non specialists. Topics are treated as far as possible in an elementary way, illustrating results with simple examples; in principle, chapters and even sections are readable independently of the general context, so that parts can be easily used for graduate courses. Open questions are often mentioned and the final section of each chapter discusses references to the literature and sometimes supplementary results. Finally, a detailed Table of Contents and an extensive Index are of help to consult this monograph

Review

"Bei dieser Monographie handelt es sich um einen Bericht von der vordersten Forschungsfront, der gleichzeitig jedem an dieser Art von Problemen interessierten Mathematiker zug�nglich ist. Das ist ein seltener Gl�cksfall, f�r den man den Autoren gar nicht genug danken kann. Wer sich durch den schieren Umfang der beiden B�nde nicht abschrecken l�sst, wird diese, einmal zur Hand genommen, nicht so schnell wieder ins Regal zur�ckstellen wollen.
DMV Jahresbericht Bd. 103, Heft 1, 2001

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