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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
Energy Spectrum According to Classical Mechanics
TL;DR: In this article, the phase integral approximation for the Green's function is investigated so as to yield an approximate expression for the density of states per unit interval of energy, i.e., the smoothly closed trajectories, unlike the approximate wavefunctions which depend on all possible trajectories.
471
•Book
Real Analysis: Measure Theory, Integration, and Hilbert Spaces
Elias M. Stein,Rami Shakarchi +1 more
- 01 Jan 2005
Abstract: Seeking qualified reading sources? We have real analysis measure theory integration and hilbert spaces bk 3 princeton lectures in analysis to review, not just read, however likewise download them or perhaps check out online. Find this terrific book writtern by now, just here, yeah only here. Get the reports in the types of txt, zip, kindle, word, ppt, pdf, and rar. Again, never ever miss to read online and download this publication in our website below. Click the web link.
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Studies of a non-linear lattice
TL;DR: In this paper, an exact treatment of the propagation of waves in one-dimensional non-linear lattices is presented, and particular solutions of the equations of motion are given in analytic form, and are shown to have wide applicabilities in elucidating general features of nonlinear waves.
470
Magnetism in La2CuO4 based compounds
TL;DR: In this paper, an analytical solution of spin density wave with infinite higher harmonics is obtained, giving rise to a soliton lattice spin structure, striped charge domain walls which run perpendicular to the modulation vector Q and associated midgap state.
466
Minimal Penalties for Gaussian Model Selection
Lucien Birgé,Pascal Massart +1 more
TL;DR: A precise analysis of what kind of penalties should be used in order to perform model selection via the minimization of a penalized least-squares type criterion within some general Gaussian framework including the classical ones is mainly devoted.
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