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.
發表於2024-11-26
Partial Differential Equations 2024 pdf epub mobi 電子書 下載
圖書標籤: 數學 PDE 偏微分方程7 and Universitext Springer Representations Partial
Partial Differential Equations 2024 pdf epub mobi 電子書 下載