Partial Differential Equations 1 Foundations and Integral Representations /

• Main Author: Sauvigny, Friedrich (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2006.
• Series: Universitext
• Subjects: Mathematics.; Partial differential equations.; Physics.; Partial Differential Equations.; Mathematical Methods in Physics.

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...

Table of Contents:

• Differentiation and Integration on Manifolds
• Foundations of Functional Analysis
• Brouwer’s Degree of Mapping with Geometric Applications
• Generalized Analytic Functions
• Potential Theory and Spherical Harmonics
• Linear Partial Differential Equations in ?n.