Integral equations / F. Smithies

The preface of the book opens with the statement that "the present work is intended as a successor to Maxime Bôcher's tract, An introduction to the study of integral equations [University Press, Cambridge, 1909].'' This remark is indeed an understatement, since the present work is much more than a continuation of Bôcher's treatment, good as it was fifty years ago. It must have taken a tremendous amount of reading and sifting of the enormous literature to give a modernized version of the theory in this little volume of scarcely more than 150 pages. ... The reviewer believes that this book gives a masterful treatment of the subject. It should be suitable as an introduction for a beginner, provided he knows some of the more elementary properties of functions which are Lebesgue integrable. These results he could easily acquire by looking up the references given by the author. (MathSciNet)

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