The aim of this book is to present the elements of the theory of partía! difierential equations in a form suitablc for the use of students and research workers whose main interest in the subject lies in finding Solutions of particular equations ralher than in the general theory. In its present form it has developed from courses given by the author over the last ten years to audiences of mathematicians, physicists, and engineers in the University of Glasgow and the University College of North Staffordshire, and to members of the Research Staff of the English Electric Company at Stafford. It therefore caters for readers primarily interested in applied rather than puré mathematics, but it is hoped that it will be of interest to students of puré mathematics following a first course in partial difierential equations.
A number of worked examples have been included in the text to aid readers working independently of a teacher. The problems which are given to test the reader’s grasp of the text contain, in some cases, additional theorems not considered in the body of the text. Some of them are therefore merely statements of classical results; the remainder have been taken from examination papers of the University of Glasgow and are reproduced here by permission of the Secretary of the University Court.
The author is indebted to a number of colleagues and students for critical comments on the lectures upon which this book is based and for reading portions of the manuscript. In particular, thanks are due to Ben Noble and Keith Fitch, who worked through the entire manuscript and checked the problems; to Janet Burchnall and Valerie Cook, who preparad the manuscript for the press; to John Lowndes, who devoted a great deal of time to reading the proof sheets; and to Elizabeth Gildart, who preparcd the índex.
IAN N. SNEDDON
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