Partial Differential Equations 1
Foundations and Integral Representations
Sauvigny, Friedrich.
creator
author.
aut
http://id.loc.gov/vocabulary/relators/aut
SpringerLink (Online service)
text
gw
2006
monographic
eng
access
XIV, 437 p. 14 illus., 1 illus. in color. online resource.
This comprehensive two-volume textbook presents the whole area of Partial Differential Equations - of the elliptic, parabolic, and hyperbolic type - in two and several variables. Special emphasis is put 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. While we solve the partial differential equations via integral representations in this volume, we shall present functional analytic solution methods in the second volume. This textbook can be chosen for a course over several semesters on a medium level. Advanced readers may study each chapter independently from the others.
Differentiation and Integration on Manifolds -- Foundations of Functional Analysis -- Brouwerâ€™s Degree of Mapping with Geometric Applications -- Generalized Analytic Functions -- Potential Theory and Spherical Harmonics -- Linear Partial Differential Equations in ?n.
by Friedrich Sauvigny.
Differential equations, partial
Mathematical physics
Partial Differential Equations
Mathematical Methods in Physics
QA370-380
515.353
Springer eBooks
Universitext
9783540344599
https://doi.org/10.1007/3-540-34459-4
https://doi.org/10.1007/3-540-34459-4
ISI Library, Kolkata
100301
20181204131310.0
978-3-540-34459-9