Cartesian Currents in the Calculus of Variations I (Hardcover)

Mariano Giaquinta

ISBN 10: 3540640096 / ISBN 13: 9783540640097

Published by Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, Berlin, 1998

About this Item

Hardcover. This monograph (the first of 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 configurations in nonlinear elasticity or for liquid crystals. The presentation is self-contained and designed to be 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. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.

Seller Inventory # 9783540640097

Bibliographic Details

• Title: Cartesian Currents in the Calculus of Variations I (Hardcover)
• Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, Berlin
• Publication Date: 1998
• Language: English
• ISBN 10: 3540640096
• ISBN 13: 9783540640097
• Binding: Hardcover
• 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 zugänglich ist. Das ist ein seltener Glücksfall, für den man den Autoren gar nicht genug danken kann. Wer sich durch den schieren Umfang der beiden Bände nicht abschrecken lässt, wird diese, einmal zur Hand genommen, nicht so schnell wieder ins Regal zurückstellen wollen.
DMV Jahresbericht Bd. 103, Heft 1, 2001