Cauchy and the Creation of Complex Function Theory ePub download
by Frank Smithies
- ISBN: 052159278X
- ISBN13: 978-0521592789
- ePub: 1751 kb | FB2: 1843 kb
- Language: English
- Category: Mathematics
- Publisher: Cambridge University Press; 1 edition (November 28, 1997)
- Pages: 228
- Rating: 4.7/5
- Votes: 653
- Format: mobi lrf azw lrf
In this book, Dr. Smithies analyzes the process through which Cauchy created the basic structure of complex analysis, describing first the eighteenth century background before proceeding to examine the stages of Cauchy's own work, culminating in the proof of the residue theorem and his work on expansions in power series. Smithies describes how Cauchy overcame difficulties including false starts and contradictions brought about by over-ambitious assumptions, as well as the improvements that came about as the subject developed in Cauchy's hands.
Download books for free. In chapter 1 we look at what was done before Cauchy. Euler and Laplace and others saw that complex changes of variables was a useful technique for evaluating real integrals. This is rather mysterious and it was treated with some suspicion. Cauchy set out to justify and systematise such techniques in his 1814 memoir (chapter 2), and then he kept polishing his results over the next ten years (chapter 3). Then comes his watershed 1825 memoir (chapter 4). Cauchy has now realised that all of the above should be understood in the context of path integration in the complex plane.
Frank Smithies FRSE (1912–2002) was a British mathematician who worked on integral equations, functional analysis, and the history of. .The Mathematical Gazette.
Frank Smithies FRSE (1912–2002) was a British mathematician who worked on integral equations, functional analysis, and the history of mathematics. He was elected as a fellow of the Royal Society of Edinburgh in 1961. He was an alumnus and an academic of Cambridge University. Smithies, F. (1958), Integral equations, Cambridge Tracts in Mathematics and Mathematical Physics, 49, Cambridge University Press, ISBN 978-0-521-06502-3, MR 0104991.
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The Mathematical Gazette. Project Gutenberg (PG) is a volunteer effort to digitize and archive cultural works, to "encourage the creation and distribution of eBooks". It was founded in 1971 by American writer Michael S. Hart and is the oldest digital library. Most of the items in its collection are the full texts of public domain books. The project tries to make these as free as possible, in long-lasting, open formats that can be used on almost any computer. As of 23 June 2018, Project Gutenberg reached 57,000 items in its collection of free eBooks.
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Target/Movies, Music & Books/Books/All Book Genres/Education Books. product description page. Cauchy and the Creation of Complex Function Theory - by Frank Smithies & Smithies Frank (Paperback).
Personal Name: Smithies, F. (Frank), 1912-. Publication, Distribution, et. Cambridge ; New York Cauchy, Augustin Louis,, baron, 1789-1857.
Author: Frank Smithies.
Автор: Smithies Название: Cauchy and the Creation of Complex . Описание: This book deals with the Cauchy or initial value problem for linear differential equations.
The book provides a fast track to understanding the Riemann Mapping Theorem.
Поиск книг BookFi BookSee - Download books for free. Cauchy and the Creation of Complex Function Theory. 9 Mb. The Cauchy Problem (Encyclopedia of Mathematics and its Applications).