Open AccessBook
A Course of Modern Analysis
Edmund Taylor Whittaker,G. N. Watson +1 more
- 01 Jan 1902
9K
TL;DR: The volume now gives a somewhat exhaustive account of the various ramifications of the subject, which are set out in an attractive manner and should become indispensable, not only as a textbook for advanced students, but as a work of reference to those whose aim is to extend the knowledge of analysis.
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Abstract: This classic work has been a unique resource for thousands of mathematicians, scientists and engineers since its first appearance in 1902 Never out of print, its continuing value lies in its thorough and exhaustive treatment of special functions of mathematical physics and the analysis of differential equations from which they emerge The book also is of historical value as it was the first book in English to introduce the then modern methods of complex analysis This fifth edition preserves the style and content of the original, but it has been supplemented with more recent results and references where appropriate All the formulas have been checked and many corrections made A complete bibliographical search has been conducted to present the references in modern form for ease of use A new foreword by Professor SJ Patterson sketches the circumstances of the book's genesis and explains the reasons for its longevity A welcome addition to any mathematician's bookshelf, this will allow a whole new generation to experience the beauty contained in this text
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Citations
Perturbative series and the moduli space of Riemann surfaces
TL;DR: In this paper, the authors use techniques de la theorie quantique des champs for calculer des quantites reliees aux groupes de symetrie de paires (F, G), ou F est a surface and G an epine de F.
Foundations of Data Science
Avrim Blum,John E. Hopcroft,Ravi Kannan +2 more
- 19 Jan 2020
TL;DR: Computer science as an academic discipline began in the 1960’s with emphasis on programming languages, compilers, operating systems, and the mathematical theory that supported these areas, but today, a fundamental change is taking place and the focus is more on applications.
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Handbook of Continued Fractions for Special Functions
Annie Cuyt,Vigdis Brevik Petersen,Brigitte Verdonk,Haakon Waadeland,William B. Jones +4 more
- 17 Jul 2008
TL;DR: This handbook is a systematic study of continued fraction representations for special functions and it is emphasised that only 10% of the continued fractions contained in this book, can also be found in the Abramowitz and Stegun project or at the Wolfram website!
431
Spline Interpolation and Smoothing on the Sphere
TL;DR: In this article, the authors extend the notion of periodic polynomial splines on the circle and thin plate spline on Euclidean d-space to spline invariant under arbitrary rotations of the coordinate system.
409