您现在的位置：快乐比价网 > 图书 > 经济管理 > 金融投资 > 商品详情

经典数学物理中的偏微分方程（英文版）

分享到：

最低价：￥78.70

定价：￥114.00

作者：I.Rubinstein，L.Rubinstein 著著

出版社：世界图书出版公司

出版时间：2000-6-1

I S B N：9787506246996

价格比较

商品详情

商品评论(0条)

经典数学物理中的偏微分方程

送货上门

价格
78.70元

经典数学物理中的偏微分方程（英文版）

送货上门

价格
100.30元

经典数学物理中的偏微分方程（影印版）

送货上门

价格
114.00元

商品详情

编辑推荐

内容简介

The unique characteristic of this book is that it considers the theory of partial differential equations in mathematical physics as the language of continuous processes, that is to say, as an interdisciplinary science that treats the hierarchy of mathematical phenomena as reflections of their physical counterparts. Special attention is drawn to tracing the development of these mathematical phenomena in different natural sciences, with examples drawn from continuum mechanics, electrodynamics, transport phenomena, thermodynamics, and chemical kinetics. At the same time, the authors trace the interrelation between the different types of problems elliptic, parabolic, and hyperbolic - as the mathematical counterparts of stationary and evolutionary processes. This interrelation is traced through study of the asymptotics of the solutions of the respective initial boundaryvalue problems both with respect to time and the governing parameters of the problem. This combination of mathematical comprehensiveness and natural scientific motivation represents a step forward in the presentation of the classical theory of PDEs, one that will be appreciated by both graduate students and researchers alike.

作者简介

Preface
Chapter 1.Introduction
Chapter 2. Typical equations of mathematical physics. Boundary conditions
Chapter 3. Cauchy problem for first-order partial differential equations
Chapter 4. Classification of second-order partial differential equations with linear principal part.Elements of the theory of characteristics
Chapter 5. Cauchy and mixed problems for the wave equation in R1. Method of traveling waves
Chapter 6. Cauchy and Goursat problems for a second-order linear hyperbolic equation with
two independent variables. Riemann''s method
Chapter 7. Cauchy problem for a 2-dimensional wave equation. The Volterra-D''Adhemar
solution
Chapter 8. Cauchy problem for the wave equation in Rs. Methods of averaging and descent.
Huygens''s principle
Chapter 9. Basic properties of harmonic functions
Chapter 10. Green''s functions
Chapter 11. Sequences of harmonic functions. Perron''s theorem. Schwarz
alternating method
Chapter 12. Outer boundary-value problems. Elements of potential theory
Chapter 13. Cauchy problem for heat-conduction equation
Chapter 14. Maximum principle for parabolic equations
Chapter 15. Application of Green''s formulas. Fundamental identity. Green''s functions for
Fourier equation
Chapter 16. Heat potentials
Chapter 17. Volterra integral equations and their application to solution of boundary-value problems in heat-conduction theory
Chapter 18. Sequences of parabolic functions
Chapter 19. Fourier method for bounded regions
Chapter 20. Integral transform method in unbounded regions
Chapter 21. Asymptotic expansions. Asymptotic solution of boundary-value problems
Appendix
References
Index