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Optimization under constraints is an essential part of everyday life. Indeed, we routinely solve problems by striking a balance between contradictory interests, individual desires and material contingencies. This notion of equilibrium was dear to thinkers of the enlightenment, as illustrated by Montesquieu s famous formulation: "In all magistracies, the greatness of the power must be compensated by the brevity of the duration."

Astonishingly, natural laws are guided by a similar principle. Variational principles have proven to be surprisingly fertile. For example, Fermat used...

Beautifully illustrated and engagingly written, Twelve Lectures in Quantum Mechanics presents theoretical physics with a breathtaking array of examples and anecdotes. Basdevant s style is clear and stimulating, in the manner of a brisk classroom lecture that students can follow with ease and enjoyment. Here is a sample of the book s style, from the opening of Chapter 1: "If one were to ask a passer-by to quote a great formula of physics, chances are that the answer would be E = mc2 . In fact, of the three watershed years for physics toward the beginning of the 20th century 1905: the...

This course on quantum mechanics offers a fresh and modern approach to the field. It is a textbook on the principles of the theory, its mathematical framework and its first applications. It consistently refers to modern and practical developments, such as tunneling microscopy, quantum information, Bell inequalities, quantum cryptography, Bose-Einstein condensation and quantum astrophysics. The book contains 92 exercises with their solutions.

Supplementary material on extras.springer.comcontains outstanding and "easy access" Java-based simulations, which illustratively help the...