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Product Identifiers

PublisherCambridge University Press

ISBN-10052159832X

ISBN-139780521598323

eBay Product ID (ePID)16038302581

Product Key Features

Number of Pages464 Pages

Publication NameModern Introduction to the Mathematical Theory of Water Waves

LanguageEnglish

SubjectMechanics / Fluids, Waves & Wave Mechanics

Publication Year1997

TypeTextbook

AuthorR. S. Johnson

Subject AreaScience

SeriesCambridge Texts in Applied Mathematics Ser.

FormatTrade Paperback

Dimensions

Item Height1 in

Item Weight22 Oz

Item Length9 in

Item Width6 in

Additional Product Features

Intended AudienceScholarly & Professional

LCCN97-005742

TitleLeadingA

Reviews' â€¦ the publication of this book will be welcomed by researchers and postgraduate students in water-wave theory.' C. M. Linton, Contemporary Physics, 'This is a well-written book that is a pleasure to read.' T. R. Akylas, European Journal of Mechanics, ' ... the book would amke an excellent textbook for graduate or advanced undergraduate courses'.J. D. Gibbon, UK Nonlinear Science News, ‘The book is a valuable source of information on the mathematic theory of water gravity waves and I am very pleased to have it on my shelf. I would recommend it to anyone who deals or is going to deal with this subject, but first for all to mathematically inclined readers.’M. Markiewicz, ZAMM, 'The book is a valuable source of information on the mathematic theory of water gravity waves and I am very pleased to have it on my shelf. I would recommend it to anyone who deals or is going to deal with this subject, but first for all to mathematically inclined readers.'M. Markiewicz, ZAMM, ‘ … the book would amke an excellent textbook for graduate or advanced undergraduate courses’.J. D. Gibbon, UK Nonlinear Science News, ' ... the publication of this book will be welcomed by researchers and postgraduate students in water-wave theory.'C. M. Linton, Contemporary Physics, ' â€¦ the book would amke an excellent textbook for graduate or advanced undergraduate courses'. J. D. Gibbon, UK Nonlinear Science News, 'The book is a valuable source of information on the mathematic theory of water gravity waves and I am very pleased to have it on my shelf. I would recommend it to anyone who deals or is going to deal with this subject, but first for all to mathematically inclined readers.' M. Markiewicz, ZAMM, ‘This is an excellent textbook suitable to the last-year undergraduate students in applied mathematics, physics, or engineering, as well as to the first-year graduate students in similar areas.’Zietschrift fur Angwandte Mathematik und Physik, ‘This is a well-written book that is a pleasure to read.’T. R. Akylas, European Journal of Mechanics, 'This is an excellent textbook suitable to the last-year undergraduate students in applied mathematics, physics, or engineering, as well as to the first-year graduate students in similar areas.'Zietschrift fur Angwandte Mathematik und Physik, ‘ … the publication of this book will be welcomed by researchers and postgraduate students in water-wave theory.’C. M. Linton, Contemporary Physics, 'This is an excellent textbook suitable to the last-year undergraduate students in applied mathematics, physics, or engineering, as well as to the first-year graduate students in similar areas.' Zietschrift fur Angwandte Mathematik und Physik, 'This is a well-written book that is a pleasure to read.'T. R. Akylas, European Journal of Mechanics, "...reasonably priced, and it is one of the best books available on the subject. With suitable supplements by the instructor, it could serve as a very readable text for an interesting course on the modern theory of water waves." Mathematical Reviews

Series Volume NumberSeries Number 19

IllustratedYes

Table Of Content1. Mathematical preliminaries; 2. Some classical problems in water-wave theory; 3. Weakly nonlinear dispersive waves; 4. Slow modulation of dispersive waves; 5. Epilogue.

SynopsisThe theory of water waves has been a source of intriguing mathematical problems for at least 150 years. This text considers the classical problems in linear and non-linear water-wave theory, as well as more modern aspects - problems that give rise to soliton-type equations. Lastly it examines the effects of viscosity., The theory of water waves has been a source of intriguing and often difficult mathematical problems for at least 150 years. Virtually every classical mathematical technique appears somewhere within its confines. Beginning with the introduction of the appropriate equations of fluid mechanics, the opening chapters of this text consider the classical problems in linear and non-linear water-wave theory. This sets the ground for a study of more modern aspects, problems that give rise to soliton-type equations. The book closes with an introduction to the effects of viscosity. All the mathematical developments are presented in the most straightforward manner, with worked examples and simple cases carefully explained. Exercises, further reading, and historical notes on some of the important characters in the field round off the book and help to make this an ideal text for a beginning graduate course on water waves., For over a hundred years, the theory of water waves has been a source of intriguing and often difficult mathematical problems. Virtually every classical mathematical technique appears somewhere within its confines. Beginning with the introduction of the appropriate equations of fluid mechanics, the opening chapters of this text consider the classical problems in linear and nonlinear water-wave theory. This sets the stage for a study of more modern aspects, problems that give rise to soliton-type equations. The book closes with an introduction to the effects of viscosity. All the mathematical developments are presented in the most straightforward manner, with worked examples and simple cases carefully explained. Exercises, further reading, and historical notes on some of the important characters in the field round off the book and make this an ideal text for a beginning graduate course on water waves.

LC Classification NumberQA927 .J65 1997