Partial Differential Equations / / G.F.D. Duff

• Autore: Duff G.F.D.
• Pubblicazione: Toronto : , : University of Toronto Press, , [2017]; ©1956
• Descrizione fisica: 1 online resource (259 pages) : illustrations
• Disciplina: 515/.623
• Soggetto topico: Differential equations, Partial; Finite element method
• Soggetto genere / forma: Electronic books.
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: Frontmatter -- Preface -- Contents -- I. Differential Equations and Their Solutions -- II. Linear Equations of the First Order -- III. Non-Linear Equations of the First Order -- IV. Linear Equations of the Second Order -- V. Self-Adjoint Elliptic Equations -- VI. Linear Integral Equations -- VII. Boundary Value Problems -- VIII. Eigenfunctions -- IX. Normal Hyperbolic Equations -- X. Integration of the Wave Equation -- Bibliography -- Index
• Sommario/riassunto: This book is an attempt to make available to the student a coherent modern view of the theory of partial differential equations. Here equations of the first order and linear second order equations are treated with the tensor calculus, which combines generality and insight, in mind. Since the book is self-contained, much of the material is classical, but an effort has been made to achieve a modern outlook on these topics. A number of significant recent developments are introduced, and treated in relation to the natural background formed by geometry and physics. Special features of the exposition are: (a) the simplified general treatment of first order equations; (b) the geometrical foundations of the theory of linear second order equations (c) unified treatment of boundary value problems and related topics by integral equations; (d) the theory of generalized hyperbolic potentials.
• Titolo autorizzato: Partial differential equations
• ISBN: 1-4426-5399-X
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910148691703321
• Lo trovi qui: Univ. Federico II
• Serie: Mathematical expositions ; ; 9.