Inequalities
Subtitle: Selecta of Elliott H. Lieb
By: edited by Michael Loss, Mary Beth Ruskai
Contributors: Ruskai, Mary Beth
Publisher: Springer Berlin Heidelberg
Published: 2002
Place of publication: Berlin, Heidelberg
Language: eng
Format: [electronic resource] :
Number of pages: 711
ISBN-13: 9783642627583; 9783642559259
Subjects: Functional analysis; Mathematics; Mathematical optimization; Mathematical physics; Quantum theory
Description: Inequalities play a fundamental role in Functional Analysis and it is widely recognized that finding them, especially sharp estimates, is an art. E. H. Lieb has discovered a host of inequalities that are enormously useful in mathematics as well as in physics. His results are collected in this book which should become a standard source for further research. Together with the mathematical proofs the author also presents numerous applications to the calculus of variations and to many problems of quantum physics, in particular to atomic physics.
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Table of contents: title: From the Contents: Inequalities Related to Statistical Mechanics and Condensed Matter; title: Matrix Inequalities and Combinatorics; title: Inequalities Related to the Stability of Matter; title: Coherent States; title: Brunn-Minkowski Inequality and Rearrangements; title: General Analysis; title: Inequalities Related to Harmonic Maps.