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An Introduction to the Mathematical Theory of Waves (Student Mathematical Library, V. 3) 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024

An Introduction to the Mathematical Theory of Waves (Student Mathematical Library, V. 3)
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Roger Knobel 作者
American Mathematical Society
譯者
1999-10 出版日期
200 頁數
USD 25.00 價格
Paperback
Student Mathematical Library 叢書系列
9780821820391 圖書編碼

An Introduction to the Mathematical Theory of Waves (Student Mathematical Library, V. 3) 在線電子書 圖書標籤: 數學  數學物理7  to  the  of  [數學]  Waves  Theory   

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An Introduction to the Mathematical Theory of Waves (Student Mathematical Library, V. 3) 在線電子書 epub 下載 mobi 下載 pdf 下載 txt 下載 2024

An Introduction to the Mathematical Theory of Waves (Student Mathematical Library, V. 3) 在線電子書 epub 下載 pdf 下載 mobi 下載 txt 下載 2024

An Introduction to the Mathematical Theory of Waves (Student Mathematical Library, V. 3) 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024


An Introduction to the Mathematical Theory of Waves (Student Mathematical Library, V. 3) 在線電子書 用戶評價

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An Introduction to the Mathematical Theory of Waves (Student Mathematical Library, V. 3) 在線電子書 著者簡介

Roger Knobel: University of Texas-Pan American, Edinburg, TX

An Introduction to the Mathematical Theory of Waves (Student Mathematical Library, V. 3) 在線電子書 著者簡介

An Introduction to the Mathematical Theory of Waves (Student Mathematical Library, V. 3) 在線電子書 pdf 下載 txt下載 epub 下載 mobi 在線電子書下載

An Introduction to the Mathematical Theory of Waves (Student Mathematical Library, V. 3) 在線電子書 圖書描述

This book is based on an undergraduate course taught at the IAS/Park City Mathematics Institute (Utah) on linear and nonlinear waves. The first part of the text overviews the concept of a wave, describes one-dimensional waves using functions of two variables, provides an introduction to partial differential equations, and discusses computer-aided visualization techniques.

The second part of the book discusses traveling waves, leading to a description of solitary waves and soliton solutions of the Klein-Gordon and Korteweg-deVries equations. The wave equation is derived to model the small vibrations of a taut string, and solutions are constructed via d'Alembert's formula and Fourier series.

The last part of the book discusses waves arising from conservation laws. After deriving and discussing the scalar conservation law, its solution is described using the method of characteristics, leading to the formation of shock and rarefaction waves. Applications of these concepts are then given for models of traffic flow.

The intent of this book is to create a text suitable for independent study by undergraduate students in mathematics, engineering, and science. The content of the book is meant to be self-contained, requiring no special reference material. Access to computer software such as Mathematica®, MATLAB®, or Maple® is recommended, but not necessary. Scripts for MATLAB applications will be available via the Web. Exercises are given within the text to allow further practice with selected topics.

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