Integral Transforms and Their Applications (Applied Mathematical Sciences, 25)

This book is intended to serve as introductory and reference material for the application of integral transforms to a range of common mathematical problems. It has its im­ mediate origin in lecture notes prepared for senior level courses at the Australian National University, although I owe a great deal to my colleague Barry Ninham, a matter to which I refer below. In preparing the notes for publication as a book, I have added a considerable amount of material ad- tional to the lecture notes, with the intention of making the book more useful, particularly to the graduate student - volved in the solution of mathematical problems in the physi­ cal, chemical, engineering and related sciences. Any book is necessarily a statement of the author's viewpoint, and involves a number of compromises. My prime consideration has been to produce a work whose scope is selective rather than encyclopedic; consequently there are many facets of the subject which have been omitted--in not a few cases after a preliminary draft was written--because I v believe that their inclusion would make the book too long.

From the reviews of the third edition:

B. Davies

Integral Transforms and their Applications

"Extremely well-written and a joy to read . . . Whether the reader is seeking a useful text for a graduate course or a valuable reference on integral transforms, I would highly recommend Brian Davies' book."

―THE AUSTRALIAN MATHEMATICAL SOCIETY

"A testament to the quality and usefulness of this monograph is that a third edition has now appeared. ... In addition to the material previously included, there have been significant extensions in some of the topics ... . The writing style and the overall structure of the presentation have been modified ... and, as a consequence, the current edition is extremely well-written and a joy to read. ... I would highly recommend Brian Davies’ book." (W.P. Wood, The Australian Mathematical Society Gazette, Vol. 30 (1), 2003)

"In its present third edition this well known work has undergone considerable reconstruction or augmentation ... . Due to the general character of this volume, the many examples worked out or provided, this volume will be of use to readers intending to make actual use of integral transforms." (H. Muthsam, Monatshefte für Mathematik, Vol. 139 (2), 2003)

"Nevertheless that the new edition has less pages, it is now ... about 20% longer which can find a seemingly explanation by its more compact and now modern photocomposed copy preparation on the basis of a LaTeX file. ... As conclusion ... the new edition gained considerably ... it can be highly recommended to a broad readership." (J. Synnatzschke, ZAA, Vol. 21 (3), 2002)