Inequalities: Selecta of Elliott H. Lieb / Edition 1

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Overview

Inequalities play a fundamental role in Functional Analysis and it is widely recognized that finding them, especially sharp estimates, is an art. E. Lieb has discovered a host of inequalities that are enormeously 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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Editorial Reviews

From the Publisher

From the reviews:

"A well done edition which can be very helpful for mathematicians and mathematical oriented physicists." (Zeitschrift für Analysis und ihre Anwendungen, 22/2, 2003)

"The book contains a list of the publications (276) of E. H. Lieb. There is nicely written introduction ... by the editors. They explain in detail how the selected papers fit into the main directions of Lieb’s research. All together it is a well done edition which can be very helpful for mathematicians and mathematical oriented physicists. The quality of the printing is excellent." (A. Uhlmann, Zeitschrift für Analysis und ihre Anwendungen, Vol. 22 (2), 2003)

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Product Details

  • ISBN-13: 9783540430216
  • Publisher: Springer Berlin Heidelberg
  • Publication date: 2/24/2003
  • Edition description: 1st ed. 2002. Corr. 2nd printing 2003
  • Edition number: 1
  • Pages: 711
  • Product dimensions: 9.21 (w) x 6.14 (h) x 1.56 (d)

Table of Contents

Inequalities Related to Statistical Mechanics and Condensed Matter.- Matrix Inequalities and Combinatorics.- Inequalities Related to the Stability of Matter.- Coherent States.- Brunn-Minkowski Inequality and Rearrangements.- General Analysis.- Inequalities Related to Harmonic Maps.


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