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Riassunto: This book is a rigorous introduction to the abstract theory of partial differential equations. The main prerequisite is familiarity with basic functional analysis: more advanced topics such as Fredholm operators, the Schauder fixed point theorem and Bochner integrals are introduced when needed, and the book begins by introducing the necessary material from the theory of distributions and Sobolev spaces. Using such techniques, the author presents different methods available for solving elliptic, parabolic and hyperbolic equations. He also considers the difference process for the practical solution of a partial differential equation, emphasising that it is possible to solve them numerically by simple methods. Many examples and exercises are provided throughout, and care is taken to explain difficult points. Advanced undergraduates and graduate students will appreciate this self-contained and practical introduction.
Descrizione del libro: A rigorous introduction to the abstract theory of partial differential equations progresses from the theory of distribution and Sobolev spaces to Fredholm operations, the Schauder fixed point theorem and Bochner integrals.
Titolo: Partial Differential Equations
Casa editrice: Cambridge University Press
Data di pubblicazione: 1987
Condizione libro: very good
Descrizione libro Cambridge University Press, 1987. hardcover. Condizione libro: Good. Cover very lightly rubbed/bumped/soiled, corners very faintly bumped, top corners very lightly rubbed, bottom corners rubbed, bottom edges rubbed/bumped, spine ends lightly bumped, very lightly rubbed; edges lightly soiled; interior has erasures on ffep, faint musty smell; binding slightly shaken; cover, edges, and interior intact and clean except as noted. Codice libro della libreria 621933