Partial Differential Equations of Mathematical Physics, 2/e (Paperback)

Arthur Godon Webster

  • 出版商: Dover Publications
  • 出版日期: 2016-06-20
  • 售價: $1,050
  • 貴賓價: 9.8$1,029
  • 語言: 英文
  • 頁數: 464
  • 裝訂: Paperback
  • ISBN: 0486805158
  • ISBN-13: 9780486805153
  • 相關分類: 物理學 Physics
  • 下單後立即進貨 (約5~7天)

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<內容簡介>

A classic treatise on partial differential equations, this comprehensive work by one of America's greatest early mathematical physicists covers the basic method, theory, and application of partial differential equations. In addition to its value as an introductory and supplementary text for students, this volume constitutes a fine reference for mathematicians, physicists, and research engineers.
Detailed coverage includes Fourier series; integral and elliptic equations; spherical, cylindrical, and ellipsoidal harmonics; Cauchy's method; boundary problems; the Riemann-Volterra method; and many other basic topics. The self-contained treatment fully develops the theory and application of partial differential equations to virtually every relevant field: vibration, elasticity, potential theory, the theory of sound, wave propagation, heat conduction, and many more. A helpful Appendix provides background on Jacobians, double limits, uniform convergence, definite integrals, complex variables, and linear differential equations.

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內容簡介:

這本經典的偏微分方程論著是美國早期最偉大的數學物理學家之一所著,涵蓋了偏微分方程的基本方法、理論和應用。除了作為學生的入門和補充教材外,這本書還是數學家、物理學家和研究工程師的良好參考資料。

詳細內容包括傅立葉級數、積分和橢圓方程、球面、柱面和橢球面調和函數、柯西方法、邊界問題、黎曼-沃爾特拉方法以及許多其他基本主題。這本自成一體的著作全面發展了偏微分方程的理論和應用,幾乎涵蓋了每個相關領域:振動、彈性、位勢理論、聲音理論、波傳播、熱傳導等等。附錄提供了關於雅可比行列式、雙重極限、一致收斂、定積分、複變數和線性微分方程的背景知識。