An Introduction to the Mathematical Theory of Waves
Published by Universities Press, 2012
- Softcover
- New
Seller: Vedams eBooks (P) Ltd, New Delhi, IndiaVedams eBooks (P) Ltd
AbeBooks seller since January 30, 2009
Condition: New
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Item description from seller
Contents: Introduction. 1. Traveling and standing waves. 2. Waves in conservation laws. Bibliography. Index. 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.…
Seller Inventory # 108385
Bibliographic details
- Title
- An Introduction to the Mathematical Theory of Waves
- Author
- Roger Knobel
- Publisher
- Universities Press
- Publication year
- 2012
- Condition
- New
- Binding
- Soft cover
Vedams eBooks (P) Ltd
New Delhi, India
AbeBooks seller since January 30, 2009
Shipping rates from India to U.S.A.
| Item | 20 to 24 business days | 4 to 7 business days |
|---|---|---|
| First item | £ 14.85 | £ 27.16 |
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