Overview
This comprehensive two-volume textbook covers the whole area of Partial Differential Equations - of the elliptic, parabolic, and hyperbolic type - in two and several variables. Special emphasis is placed on the connection of PDEs and complex variable methods. In this first volume the following topics are treated: Integration and differentiation on manifolds, Functional analytic foundations, Brouwer's degree of mapping, Generalized analytic functions, Potential theory and spherical harmonics, Linear partial differential equations. We solve partial differential equations via integral representations in this volume, reserving functional analytic solution methods for Volume Two.
Full Product Details
Author: Friedrich Sauvigny
Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Dimensions:
Width: 15.50cm
, Height: 2.50cm
, Length: 23.50cm
Weight: 0.774kg
ISBN: 9783540344575
ISBN 10: 3540344578
Pages: 451
Publication Date: 04 August 2006
Audience:
College/higher education
,
Undergraduate
Replaced By: 9781447129806
Format: Paperback
Publisher's Status: Active
Availability: In Print
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.
Reviews
From the reviews: <p> Friedrich Sauvignya (TM)s remarkable two-volume opus a ] constitutes the authora (TM)s attempt to treat the beautiful and difficult subject of PDEs in a thorough and instructive way a ] . is a fine place to learn PDEs with the goal of doing serious work in the field. a ] Friedrich Sauvignya (TM)s scholarship is exemplary and thorough; at the same time his book is both broad and deep and is a pleasure to read. (Michael Berg, MathDL, February, 2007)
From the reviews: ""Friedrich Sauvigny's remarkable two-volume opus ! constitutes the author's attempt to treat the beautiful and difficult subject of PDEs in a thorough and instructive way ! . is a fine place to learn PDEs with the goal of doing serious work in the field. ! Friedrich Sauvigny's scholarship is exemplary and thorough; at the same time his book is both broad and deep and is a pleasure to read."" (Michael Berg, MathDL, February, 2007) ""The aim of the author is to present the entire domain of Partial Differential Equations (PDE's) - so reach in theories and applications - to students at the intermediate level. ! the present textbook can be used for a course extending over several semesters. For advanced readers, each chapter may be studied independently from the others. "" (Lubomira Softova, Zentralblatt MATH, Vol. 1198, 2010)
From the reviews: Friedrich Sauvigny's remarkable two-volume opus ! constitutes the author's attempt to treat the beautiful and difficult subject of PDEs in a thorough and instructive way ! . is a fine place to learn PDEs with the goal of doing serious work in the field. ! Friedrich Sauvigny's scholarship is exemplary and thorough; at the same time his book is both broad and deep and is a pleasure to read. (Michael Berg, MathDL, February, 2007)
