· 2021
A course of modern analysis an introduction to the general theory of infinite processes and of analytic functions with an account of the principal transcendental functions
- 850citations
- 2021year
Short summary
This classic 1902 text, now in its fifth edition, remains a valuable resource for its exhaustive treatment of special functions in mathematical physics and differential equations, and for introducing modern complex analysis methods in English.
AI-generated from the title and abstract; the full text is not read.
Key points
- Provides an exhaustive treatment of special functions of mathematical physics.
- Covers the analysis of differential equations from which these functions emerge.
- Historically notable for introducing modern complex analysis to English-speaking readers.
- The fifth edition includes updated references and recent results.
AI-generated from the title and abstract; the full text is not read.
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 S.J. 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
The authors' abstract, as published at the source., 2021 · DOI ↗
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Field: Theoretical Computer Science
Theoretical Computer ScienceMathematics