中文名: 偏微分方程教程 第二版
原名: Partial Differential Equations and Boundary Value Problems with Fourier Series 2nd Edition
資源格式: PDF
發行時間: 2004年5月24日
地區: 美國
語言: 英文
簡介:

語言：英語
網址：http://www.mypearsonstore.ca/bookstore/product.asp?isbn=0131480960
類別：電子圖書
【中文名】偏微分方程教程 第二版
【英文名】Partial Differential Equations and Boundary Value Problems with Fourier Series 2nd Edition
【出版】Prentice Hall
【ISBN】978-0131480964
【作者】納克萊 H．亞斯馬/Nakhle H. Asmar
【頁數】816
【簡介】
納克萊 H．亞斯馬 1986年於美國華盛頓大學獲得博士學位，1988年至今就職於密蘇裡—哥倫比亞大學，現為該大學文理學院數學系教授。他的主要研究方向為調和分析。
本書通過大量豐富的實例，幫助讀者實現從基本的常微分方程向更多高級概念(偏微分方程、傅裡葉級數和邊界值問題等)的順利過渡。作者輕松的語言風格使得書中的材料通俗易懂，尤其適合那些渴望了解更多和更深微積分知識的讀者。
本書在第1版的基礎上增加了偏微分方程在工程和物理學方面的應用，並且提供了更多數學證明和偏微分方程的原理。此外，本書的每一小節後都配備了大量的習題，並在頁邊提供了注釋、圖標或重要的公式等，突出了書中的重點與難點，方便讀者自學。
本書提倡讀者利用計算機輔助學習，旨在使讀者更直觀、更清晰地理解和掌握書中所講述的題材。讀者可以利用從作者網站上下載的Mathematica文件進行上機實踐。

Packed with examples, this book provides a smooth transition from elementary ordinary differential equations to more advanced concepts. Asmar's relaxed style and emphasis on applications make the material understandable even for readers with limited exposure to topics beyond calculus. Encourages the use of computer resources for illustrating results and applications, but is also suitable for use without computer access. Includes additional specialized topics that can be read as desired, and that can be read independently of each other. Denotes exercises requiring use of a computer with computer icons, asking readers to investigate problems using computer-generated graphics and to generate numerical data that cannot be computed by hand. Offers Mathematica files for download from the author's Web site; can be accessed through the Prentice Hall address prenhall/pubguide/. For engineers or anyone looking to brush up on their advanced mathematics skills. --This text refers to an out of print or unavailable edition of this title.

【評論】

This example-rich reference fosters a smooth transition from elementary ordinary differential equations to more advanced concepts. Asmar's relaxed style and emphasis on applications make the material accessible even to readers with limited exposure to topics beyond calculus. Encourages computer for illustrating results and applications, but is also suitable for use without computer access. Contains more engineering and physics applications, and more mathematical proofs and theory of partial differential equations, than the first edition. Offers a large number of exercises per section. Provides marginal comments and remarks throughout with insightful remarks, keys to following the material, and formulas recalled for the reader's convenience. Offers Mathematica files available for download from the author's website. A useful reference for engineers or anyone who needs to brush up on partial differential equations.

【前言】

自本書第1版出版以來，我很高興地收到了來自讀者的積極回應。這-版采納-了他們的許多建議，包括更多的源自工程和物理的應用、更多的數學證明與理論。為保持原版的組織結構，大部分變化體現在章後面的新增小節裡。
就像第1版一樣，本書旨在作為偏微分方程和邊值問題(包括傅裡葉級數)的現代基礎教材，供學完常微分方程基礎課程的學生使用。
本書內容與安排
本書是為了使讀者較好地從常微分方程基礎課程過渡到偏微分方程基礎課程而設計的。雖然本書面向那些強調應用的工程、數學和物理等專業的學生，但本版新增內容為教師提供了多種選擇：以理論為主的偏微分方程課程，或者強調邊值..
-------機械工業出版社 《偏微分方程教程》(英文版第2版)前言

 
目錄:
1. A Preview of Applications and Techniques.
2. Fourier Series.
3. Partial Differential Equations in Rectangular Coordinates.
4. Partial Differential Equations in Polar and Cylindrical Coordinates.
5. Partial Differential Equations in Spherical Coordinates.
6. Sturm-Liouville Theory with Engineering Applications.
7. The Fourier Transform and Its Applications.
8. The Laplace and Hankel Transforms with Applications.
9. Finite Difference Numerical Methods.
10. Sampling and Discrete Fourier Analysis with Applications to Partial Differential Equations.
11. An Introduction to Quantum Mechanics.
12. Green's Functions and Conformal Mappings.
Appendix A: Ordinary Differential Equations: Review of Concepts and Methods. Appendix B: Tables of Transforms.
References.
Answers to Selected Exercises.
Index.