Partial Differential Equations: Vol. 1 Foundations And Integral Representations (universitext)
by Friedrich Sauvigny /
2006 / English / PDF
3.6 MB Download
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.
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.
