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Catalogue Information
Field name	Details
Dewey Class	515.353
Title	Partial Differential Equations 1 (EB) : Foundations and Integral Representations / by Friedrich Sauvigny.
Author	Sauvigny, Friedrich
Other name(s)	SpringerLink (Online service)
Edition statement	2nd ed. 2012.
Publication	London : Springer , 2012.
Physical Details	XV, 447 pages: 16 illus. : online resource.
Series	Universitext 0172-5939
ISBN	9781447129813
Summary Note	This two-volume textbook provides comprehensive coverage of partial differential equations, spanning elliptic, parabolic, and hyperbolic types in two and several variables. In this first volume, special emphasis is placed on geometric and complex variable methods involving integral representations. The following topics are treated: â¢ integration and differentiation on manifolds â¢ foundations of functional analysis â¢ Brouwer's mapping degree â¢ generalized analytic functions â¢ potential theory and spherical harmonics â¢ linear partial differential equations This new second edition of this volume has been thoroughly revised and a new section on the boundary behavior of Cauchyâs integral has been added. The second volume will present functional analytic methods and applications to problems in differential geometry. This textbook will be of particular use to graduate and postgraduate students interested in this field and will be of interest to advanced undergraduate students. It may also be used for independent study.:
Contents note	Differentiation and Integration on Manifolds -- Foundations of Functional Analysis -- Brouwerâs Degree of Mapping -- Generalized Analytic Functions -- Potential Theory and Spherical Harmonics -- Linear Partial Differential Equations in Rn.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	http://dx.doi.org/10.1007/978-1-4471-2981-3
Links to Related Works	Subject References: Differential equations, Partial . Mathematical Methods in Physics . Mathematical Physics . Mathematics . Partial differential equations . Authors: Sauvigny, Friedrich . Corporate Authors: SpringerLink (Online service) . Series: Universitext . Classification: 515.353 .

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Partial Differential Equations 1: Foundations and Integral Representations

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