Bücher von Cedric Villani

In 2010, the French mathematician Cédric Villani received the Fields Medal, the most coveted prize in mathematics, in recognition of a proof that he devised with his close collaborator Clément Mouhot to explain one of the most surprising theories in classical physics. Birth of a Theorem is Villani's own account of the years leading up to the award. It invites readers inside the mind of a great mathematician as he wrestles with the most important work of his career. But you don't have to understand nonlinear Landau damping to love Birth of a Theorem. It doesn't simplify or overexplain; rather, it invites readers into a collaboration. Villani's diaries, e-mails, and musings enmesh you in the process of discovery. You join him in unproductive lulls and late-night breakthroughs. You're privy to dining-hall conversations at the world's greatest research institutions. Villani shares his favorite songs, his love of manga, and the imaginative stories he tells his children. In mathematics, as in any creative work, it is the thinker's whole life that propels discovery--and with Birth of a Theorem, Cédric Villani welcomes you into his.

Im Kopf eines Genies - der Bericht von einem mathematischen Abenteuer und der Roman eines sehr erfolgreichen ForschersCédric Villani gilt als Kandidat für die begehrte Fields-Medaille, eine Art Nobelpreis für Mathematiker. Sie wird aber nur alle vier Jahre vergeben, und man muss unter 40 sein. Er hat also nur eine Chance. Unmöglich! Unmöglich? Fieberhaft macht er sich an die Arbeit. Jetzt erzählt er seine Geschichte, und ihm gelingt das Unglaubliche: Wir werden direkte Zeugen der Denkprozesse eines Mathematikers, und das, ohne die dazugehörigen Formeln verstehen zu müssen. Ein Buch, so einzigartig wie sein Autor.

Jean Dhombres, mathematician and science historian, and Gerhard Heinzmann, philosopher of science and also a specialist in mathematics engage in a fruitful dialogue with the two mathematicians, prompting readers to reflect on mathematical activity and its social consequences in history as well as in the modern world.

The field of optimal transport has made breathtaking forays into various other domains of mathematics. This book presents a broad overview of this area. PhD students or researchers can read the entire book without any prior knowledge of the field.

Collects the notes of the CIME course Nonlinear PDE's and applications held in Cetraro (Italy) on June 23-28, 2008. This book explores the fundamental connections between topics such as optimal transport, Hamilton-Jacobi equations, Riemannian geometry, and more.