# An Introduction to the Mathematical Theory of Waves (Student Mathematical Library, V. 3)

## Roger Knobel

4,67 valoración promedio
( 6 valoraciones por Goodreads )

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.

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Review:

"An interesting first reading on high analysis at an elementary level." ---- European Mathematical Society Newsletter

"The book offers a student an excellent introduction to some of the most interesting wave phenomena that have physical significance, and at the same time it also serves to explain some of the deeper mathematical issues that are involved. It can be recommended to all undergraduates who wish to learn something about physics wave phenomena of various types." ---- Mathematical Reviews

"The style of this book is not that of a typical textbook. For one, the very short sections (few exceed five pages in length) have a more interactive, conversational flavor rather than the usual "theorem-proof" style of most texts. This is not to say that it lacks in precision; far from it, in fact. Very carefully constructed short exercise lists occur frequently throughout the book and often times, immediately following a discussion of a difficult topic: they are not all collected and placed, out of context, at the end of the chapter. It is the intention that every exercise be completed as part of the journey through the material, and not simply to practice a technique. The problems are all very relevant to the material presented and many challenge the student to extend the theory he or she just learned in a slightly tangential direction. Also, a common theme in the text is to revisit the same problem at several different points in the book and each time investigate it more carefully using the theory just developed. This spiraling approach is very clever, and it instills in the reader a sense of what is going on. "The exposition of the material is very clear. All in all, this book provides a sturdy bridge from a course on ordinary differential equations, and so I would recommend it, without batting an eyelash, to any of my differential equations students who wish to continue their study independently. Further, I feel that it could be very useable as a text for a first course in partial differential equations. Kudos to Roger Knobel on having produced such a well-written and much-needed book!" -- ---- MAA Online

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## 1.Introduction To The Mathematical Theory Of Waves

Editorial: American Mathematical Society (1999)
ISBN 10: 0821820397 ISBN 13: 9780821820391
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Descripción American Mathematical Society, 1999. Paperback. Estado de conservación: New. New ,International edition , softcover ,Same text as US edition , ISBN /Cover may be different , Ready to ship, 5-8 business days worldwide delivery. Nº de ref. de la librería INFGYD1G636

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## 2.An Introduction to the Mathematical Theory of Waves (Student Mathematical Library, V. 3)

Editorial: American Mathematical Society
ISBN 10: 0821820397 ISBN 13: 9780821820391
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Descripción American Mathematical Society. PAPERBACK. Estado de conservación: New. 0821820397 Brand New International Edition. SoftCover. Same Contents as US Editions. ISBN and Cover might be different in some cases. Please allow 4-14 Business days to arrive. Nº de ref. de la librería AG-INTL-821820397

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## 3.INTRODUCTION TO THE MATHEMATICAL THEORY OF WA

ISBN 10: 0821820397 ISBN 13: 9780821820391
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Descripción Estado de conservación: Brand New. Brand New Paperback International Edition, Perfect Condition. Printed in English. Excellent Quality, Service and customer satisfaction guaranteed!. Nº de ref. de la librería AIND-43923

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## 4.INTRODUCTION TO THE MATHEMATICAL THEORY OF WA

ISBN 10: 0821820397 ISBN 13: 9780821820391
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Descripción 1999. Soft cover. Estado de conservación: New. This book is BRAND NEW Soft cover International edition with black and white printing. ISBN number & cover page may be different but contents identical to the US edition word by word. Book is in English language. Nº de ref. de la librería UN-STOCK-UPIN-1157

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## 5.INTRODUCTION TO THE MATHEMATICAL THEORY OF WA

ISBN 10: 0821820397 ISBN 13: 9780821820391
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Descripción Estado de conservación: New. New. International edition. Different ISBN and Cover image but contents are same as US edition. Perfect condition. Customer satisfaction our priority. Nº de ref. de la librería ABE-FEB-63591

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## 6.INTRODUCTION TO THE MATHEMATICAL THEORY OF WA

ISBN 10: 0821820397 ISBN 13: 9780821820391
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Descripción Estado de conservación: Brand New. New. SoftCover International edition. Different ISBN and Cover image but contents are same as US edition. Customer Satisfaction guaranteed!!. Nº de ref. de la librería SHUB63591

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## 7.An Introduction to the Mathematical Theory of Waves (Paperback)

Editorial: American Mathematical Society, United States (1999)
ISBN 10: 0821820397 ISBN 13: 9780821820391
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Descripción American Mathematical Society, United States, 1999. Paperback. Estado de conservación: New. UK ed.. Language: English . Brand New Book. 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 MathematicaR, MATLABR, or MapleR 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. Nº de ref. de la librería AAN9780821820391

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## 8.An Introduction to the Mathematical Theory of Waves (Paperback)

Editorial: American Mathematical Society, United States (1999)
ISBN 10: 0821820397 ISBN 13: 9780821820391
Librería
The Book Depository US
(London, Reino Unido)
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Descripción American Mathematical Society, United States, 1999. Paperback. Estado de conservación: New. UK ed.. Language: English . Brand New Book. 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 MathematicaR, MATLABR, or MapleR 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. Nº de ref. de la librería AAN9780821820391

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## 9.INTRODUCTION TO THE MATHEMATICAL THEORY OF WA

ISBN 10: 0821820397 ISBN 13: 9780821820391
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Descripción Estado de conservación: New. Brand New Paperback International Edition.We Ship to PO BOX Address also. EXPEDITED shipping option also available for faster delivery. Nº de ref. de la librería AUSBNEW-43923

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## 10.INTRODUCTION TO THE MATHEMATICAL THEORY OF WA

ISBN 10: 0821820397 ISBN 13: 9780821820391
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Descripción Estado de conservación: Brand New. New, SoftCover International edition. Different ISBN and Cover image but contents are same as US edition. Excellent Customer Service. Nº de ref. de la librería ABEUSA-63591

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