Physical Problems Solved by the Phase-Integral Method

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Description This book covers one of the most efficient approximation methods for the theoretical analysis and solution of problems in theoretical physics and applied mathematics. The method can be applied to any field involving second order ordinary differential equations. It is written with practical needs in mind, with 50 solved problems covering a broad range of subjects and making clear which concepts and results of the general theory are needed in each case. Contains 50 problems with solutions, to illustrate the practical applications of the theory Authors are leading figures in the field

THE IOGARITHMIC INTEGRAL I

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The theme of this unique work, the logarithmic integral, lies athwart much of twentieth century analysis. It is a thread connecting many apparently separate parts of the subject, and is a natural point at which to begin a serious study of real and complex analysis. Professor Koosis' aim is to show how, from simple ideas, one can build up an investigation that explains and clarifies many different, seemingly unrelated problems; to show, in effect, how mathematics grows. The presentation is straightforward, so this, the first of two volumes, is self-contained, but more importantly, by following the theme, Professor Koosis has produced a work that can be read as a whole. He has brought together here many results, some new and unpublished, making this a key reference for graduate students and researchers.