Derived from an Oxford course and text, this revised book teaches the wide range of wave phenomena, focusing on compressible flow, and showing how wave phenomena in electromagnetism and solid mechanics can be treated using similar mathematical methods.
This book covers compressible flow however the authors also show how wave phenomena in electromagnetism and solid mechanics can be treated using similar mathematical methods. It caters to the needs of the modern student by providing the tools necessary for a mathematical analysis of most kinds of waves liable to be encountered in modern science and technology. At the same time emphasis is laid on the physical background and modeling that requires these tools.
This book covers compressible flow however the authors also show how wave phenomena in electromagnetism and solid mechanics can be treated using similar mathematical methods. It caters to the needs of the modern student by providing the tools necessary for a mathematical analysis of most kinds of waves liable to be encountered in modern science and technology. At the same time emphasis is laid on the physical background and modeling that requires these tools.
From the reviews:
"The volume by Ockendon and Ockendon ... updates the 1983 Inviscid Fluid Flows, by H. Ockendon and Alan B. Tayler. In this new book they view gas dynamics as a paradigm for more general wave propagation. Chapter 2 ... will particularly benefit undergraduate readers. ... Throughout, the authors develop serious applications both in the text and in the exercises. Overall, this is a very inviting introduction to a notoriously difficult subject. ... Highly recommended." (D.V. Feldman, CHOICE, Vol. 42 (5), January, 2005)
"This book, a welcome addition to the literature on the application of linear ... . in its present completely rewritten and updated form, it reflects the widening of interest that has subsequently taken place in the study of nonlinear waves in the physical sciences. ... The range of topics covered will be both a benefit to students and a stimulus ... . This is a good book that will be appreciated by all students who wish to gain a sound understanding ... ." (Alan Jeffrey, Zentralblatt MATH, Vol. 1041 (16), 2004)
"This book ... is an introduction to the theory of linear and nonlinear waves in fluids, including the theory of shock waves. ... is extraordinarily accurate and free of misprints ... . I enjoyed reading this book. ... most attractive and enticing appearance, and I'm certain that many readers who browse through it will wish to buy a copy. The exercises ... are excellent. ... A beginner who worked through these exercises would not only enjoy himself or herself ... ." (C. J. Chapman, Journal of Fluid Mechanics, Vol. 521, 2004)
"The book targets a readership of final year undergraduates and first year graduates in applied mathematics. In the reviewer's opinion, it is very well designed to catch the student's interest ... while every chapter displays essential features in some important area of fluid dynamics. Additionally, students may practice by solving 91 exercises. This volume ismainly devoted to inviscid flows. ... The book is very well written." (Denis Serre, Mathematical Reviews, 2004)
"The volume by Ockendon and Ockendon ... updates the 1983 Inviscid Fluid Flows, by H. Ockendon and Alan B. Tayler. In this new book they view gas dynamics as a paradigm for more general wave propagation. Chapter 2 ... will particularly benefit undergraduate readers. ... Throughout, the authors develop serious applications both in the text and in the exercises. Overall, this is a very inviting introduction to a notoriously difficult subject. ... Highly recommended." (D.V. Feldman, CHOICE, Vol. 42 (5), January, 2005)
"This book, a welcome addition to the literature on the application of linear ... . in its present completely rewritten and updated form, it reflects the widening of interest that has subsequently taken place in the study of nonlinear waves in the physical sciences. ... The range of topics covered will be both a benefit to students and a stimulus ... . This is a good book that will be appreciated by all students who wish to gain a sound understanding ... ." (Alan Jeffrey, Zentralblatt MATH, Vol. 1041 (16), 2004)
"This book ... is an introduction to the theory of linear and nonlinear waves in fluids, including the theory of shock waves. ... is extraordinarily accurate and free of misprints ... . I enjoyed reading this book. ... most attractive and enticing appearance, and I'm certain that many readers who browse through it will wish to buy a copy. The exercises ... are excellent. ... A beginner who worked through these exercises would not only enjoy himself or herself ... ." (C. J. Chapman, Journal of Fluid Mechanics, Vol. 521, 2004)
"The book targets a readership of final year undergraduates and first year graduates in applied mathematics. In the reviewer's opinion, it is very well designed to catch the student's interest ... while every chapter displays essential features in some important area of fluid dynamics. Additionally, students may practice by solving 91 exercises. This volume ismainly devoted to inviscid flows. ... The book is very well written." (Denis Serre, Mathematical Reviews, 2004)