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"This is the second edition of the now definitive text on partial differential equations (PDE). It offers a comprehensive survey of modern techniques in the theoretical study of PDE with particular emphasis on nonlinear equations. Its wide scope and clear exposition make it a great text for a graduate course in PDE. For this edition, the author has made numerous changes, including: a new chapter on nonlinear wave equations, more than 80 new exercises, several new sections, and a significantly expanded bibliography"--Publisher's description.
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Differential geometry. Global analysis --- Differential equations, Partial --- Riemannian manifolds --- Sheaf theory --- Equations aux dérivées partielles --- Riemann, Variétés de --- Théorie des faisceaux --- Equations aux dérivées partielles --- Riemann, Variétés de --- Théorie des faisceaux
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Choice Outstanding Title! (January 2006) Like all of Vladimir Arnold's books, this book is full of geometric insight. Arnold illustrates every principle with a figure. This book aims to cover the most basic parts of the subject and confines itself largely to the Cauchy and Neumann problems for the classical linear equations of mathematical physics, especially Laplace's equation and the wave equation, although the heat equation and the Korteweg-de Vries equation are also discussed. Physical intuition is emphasized. A large number of problems are sprinkled throughout the book, and a full set of problems from examinations given in Moscow are included at the end. Some of these problems are quite challenging! What makes the book unique is Arnold's particular talent at holding a topic up for examination from a new and fresh perspective. He likes to blow away the fog of generality that obscures so much mathematical writing and reveal the essentially simple intuitive ideas underlying the subject. No other mathematical writer does this quite so well as Arnold.
Partial differential equations --- Differential equations, Partial. --- Differential equations, Partial --- Mathematics --- Physical Sciences & Mathematics --- Calculus --- Equations aux dérivées partielles --- Partial differential equations. --- Mathematical physics. --- Partial Differential Equations. --- Theoretical, Mathematical and Computational Physics. --- Physical mathematics --- Physics
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Partial differential equations --- Differential equations, Partial. --- Equations aux dérivées partielles --- 517.95 --- Differential equations, Partial --- #WBIB:dd.Lic.L.De Busschere --- 517.95 Partial differential equations --- Equations aux dérivées partielles --- Équations aux dérivées partielles --- Équations aux dérivées partielles.
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