Beginning Partial Differential Equations, 3/e (Hardcover)
暫譯: 初學者的偏微分方程,第三版 (精裝本)

Peter V. O'Neil

  • 出版商: Wiley
  • 出版日期: 2014-04-07
  • 售價: $1,911
  • 語言: 英文
  • 頁數: 456
  • 裝訂: Hardcover
  • ISBN: 1118629949
  • ISBN-13: 9781118629949
  • 下單後立即進貨 (約5~7天)

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商品描述

A broad introduction to PDEs with an emphasis on specialized topics and applications occurring in a variety of fields

 Featuring a thoroughly revised presentation of topics, Beginning Partial Differential Equations, Third Edition provides a challenging, yet accessible,combination of techniques, applications, and introductory theory on the subjectof partial differential equations. The new edition offers nonstandard coverageon material including Burger’s equation, the telegraph equation, damped wavemotion, and the use of characteristics to solve nonhomogeneous problems.

 The Third Edition is organized around four themes: methods of solution for initial-boundary value problems; applications of partial differential equations; existence and properties of solutions; and the use of software to experiment with graphics and carry out computations. With a primary focus on wave and diffusion processes,Beginning Partial Differential Equations, Third Edition also includes: • Proofs of theorems incorporated within the topical presentation, such as the existence of a solution for the Dirichlet problem
• The incorporation of Maple™ to perform computations and experiments
• Unusual applications, such as Poe’s pendulum
• Advanced topical coverage of special functions, such as Bessel, Legendre polynomials, and spherical harmonics
• Fourier and Laplace transform techniques to solve important problems
Beginning of Partial Differential Equations, Third Edition is an ideal textbook for upper-undergraduate and first-year graduate-level courses in analysis and applied mathematics, science, and engineering.

商品描述(中文翻譯)

廣泛介紹偏微分方程(PDEs),強調在各個領域中出現的專門主題和應用

《偏微分方程入門(第三版)》提供了一個具有挑戰性但又易於理解的技術、應用和入門理論的組合,對主題進行了徹底修訂的呈現。新版本對於包括Burger方程、電報方程、阻尼波動以及使用特徵解決非齊次問題等材料提供了非標準的覆蓋。

第三版圍繞四個主題組織:初邊值問題的解法;偏微分方程的應用;解的存在性和性質;以及使用軟體進行圖形實驗和計算。主要聚焦於波動和擴散過程,《偏微分方程入門(第三版)》還包括:
• 在主題呈現中納入的定理證明,例如Dirichlet問題的解的存在性
• 使用Maple™進行計算和實驗
• 不尋常的應用,例如坡的擺
• 專門函數的進階主題覆蓋,如貝塞爾函數、勒讓德多項式和球面調和函數
• 使用傅立葉和拉普拉斯變換技術解決重要問題

《偏微分方程入門(第三版)》是高年級本科生和第一年研究生在分析、應用數學、科學和工程課程中的理想教科書。

目錄大綱

1. First Ideas
2. Solutions of the Heat Equation
3. Solutions of the Wave Equation
4. Dirichlet and Neumann Problems
5. Fourier Integral Methods of Solution
6. Solutions Using Eigenfunction Expansions
7. Integral Transform Methods of Solution
8 First-Order Equations
9 End Materials

目錄大綱(中文翻譯)

1. First Ideas

2. Solutions of the Heat Equation

3. Solutions of the Wave Equation

4. Dirichlet and Neumann Problems

5. Fourier Integral Methods of Solution

6. Solutions Using Eigenfunction Expansions

7. Integral Transform Methods of Solution

8 First-Order Equations

9 End Materials