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《偏微分方程教程 第二版》(Partial Differential Equations and Boundary Value Problems with Fourier Series 2nd Edition )[PDF]

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    发行时间2004年5月24日
    语言英文
  • 时间: 2009/02/12 08:33:49 发布 | 2009/02/12 08:37:55 更新
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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
资源格式PDF
发行时间2004年5月24日
地区美国
语言英文
简介

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语言:英语
网址:http://www.mypearsonstore.ca/bookstore/product.asp?isbn=0131480960
类别:电子图书

【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】纳克莱 H.亚斯马/Nakhle H. Asmar
【页数】816
【简介】

纳克莱 H.亚斯马 1986年于美国华盛顿大学获得博士学位,1988年至今就职于密苏里—哥伦比亚大学,现为该大学文理学院数学系教授。他的主要研究方向为调和分析。

本书通过大量丰富的实例,帮助读者实现从基本的常微分方程向更多高级概念(偏微分方程、傅里叶级数和边界值问题等)的顺利过渡。作者轻松的语言风格使得书中的材料通俗易懂,尤其适合那些渴望了解更多和更深微积分知识的读者。

本书在第1版的基础上增加了偏微分方程在工程和物理学方面的应用,并且提供了更多数学证明和偏微分方程的原理。此外,本书的每一小节后都配备了大量的习题,并在页边提供了注释、图标或重要的公式等,突出了书中的重点与难点,方便读者自学。

本书提倡读者利用计算机辅助学习,旨在使读者更直观、更清晰地理解和掌握书中所讲述的题材。读者可以利用从作者网站上下载的Mathematica文件进行上机实践。

引用
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.

【评论】
引用
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】
引用
自本书第1版出版以来,我很高兴地收到了来自读者的积极回应。这-版采纳-了他们的许多建议,包括更多的源自工程和物理的应用、更多的数学证明与理论。为保持原版的组织结构,大部分变化体现在章后面的新增小节里。
就像第1版一样,本书旨在作为偏微分方程和边值问题(包括傅里叶级数)的现代基础教材,供学完常微分方程基础课程的学生使用。
本书内容与安排
本书是为了使读者较好地从常微分方程基础课程过渡到偏微分方程基础课程而设计的。虽然本书面向那些强调应用的工程、数学和物理等专业的学生,但本版新增内容为教师提供了多种选择:以理论为主的偏微分方程课程,或者强调边值..

-------机械工业出版社 《偏微分方程教程》(英文版第2版)前言
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目录

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.

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