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.
read more
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
read more
Chat with Paper
AI Agents for this Paper
Find similar papers on Google Scholar, PubMed and Arxiv
Write a critical review of this paper
Analyze citations of this paper to find unaddressed research gaps
Citations
Exact soliton solutions and their stability control in the nonlinear Schrodinger equation with spatiotemporally modulated nonlinearity
TL;DR: A generic transformation is put forward which helps to find exact soliton solutions of the nonlinear Schrödinger equation with a spatiotemporal modulation of theNonlinearity and external potentials and stable higher-order modes are constructed.
31
Early Universe Higgs dynamics in the presence of the Higgs-inflaton and non-minimal Higgs-gravity couplings
TL;DR: In this paper, it was shown that different combinations of the Higgs-inflaton and non-minimal Higgs gravity couplings induce effective Higgs mass during and after inflation.
31
Power Series Expansion of Collision Amplitudes. Electrostatic Potentials
TL;DR: In this paper, a series expansion for the ionization potential of a one-electron orbital was obtained, which expressed the potential function in terms of a set of generalized moments, discussed in detail and illustrated with some simple examples.
31
Characterization of a high-density large scale pulsed gas jet for laser–gas interaction experiments
TL;DR: In this paper, the authors presented the characteristics of a high-density pulsed gas jet developed to study the interaction of a short-pulse, high-intensity laser with a large scale underdense plasma.
31
Ramanujan's “Lost” Notebook VIII: the entire Rogers–Ramanujan function
TL;DR: In the Lost Notebook, Ramanujan presents a truly enigmatic infinite product expansion for the two variable Rogers-Ramanujan series as discussed by the authors, and proves this formula by a careful analysis of the Stieltjes-Wigert polynomials.
31