'... an excellent advanced introduction to the mathematical theory of wave motion. it is ideally suited to advanced undergraduate students and beginning postgraduate students ... one attractive feature of the book is the abundance of worked examples and exercises (with solutions available to teachers) ... this is a wonderful book whose reading I would recommend to any scientist interested in learning the mathematical theory of wave motion.' European Journal of Mechanics '... the great strength of the book ... lies in the clarity of exposition of the mathematical solution of the wave equations and of the physical interpretation of these solutions ... this is an excellent book, which is thoroughly recommended ... it ought to become the standard textbook for anyone taking an undergraduate course in mathematical wave theory.' Journal of Fluid Mechanics '... a clearly written book which covers a surprisingly wide variety of topics ... an excellent introduction to this fascinating area of applied mathematics.' A. Jeffrey, Zentralblatt fur Mathematik 'The rich material is presented in a quite digestible way with clear explanation of physical principles and properties and a formal apparatus which does not overwhelm everything else.' H. Mathsam, Monatshefte fur Mathematik '... Billingham and King ... offer an attractive, thorough discussion of wave phenomena.' J. H. Ellison, Choice '... written very clearly ... will be valuable for students of mathematics who wish to apply their mathematics to physics and other fields.' EMS 'Sections on non-linear wave motion and advanced topics extend the usefulness of this excellent text to the first year of graduate study.' Aslib Book Guide '... a text of great clarity ... I warmly recommend this book as a useful source of reference material for applied mathematicians, physicists and engineers alike.' A. Jueld, Contemporary Physics 'Wave Motion has the potential to become the mathematical text for advanced undergraduate courses on the analytical aspects of waves.' Christopher Howls ' ... very accessible for a reader with some background in applied mathematics. The style and the exercises after each chapter make it perfectly fit as lecture notes for a course in applied mathematics.' Bulletin of the Belgian Mathematical Society 'I'm glad I bought a copy of this book as soon as it was published, because it has informed me, and will go on informing my lecture classes, for years to come.' Mark J. Cooker, University of East Anglia, , The Mathematical Gazette