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.