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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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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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