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Synopsis
This brief monograph by one of the great mathematicians of the early twentieth century offers a single-volume compilation of propositions employed in proofs of Cauchy's theorem. Developing an arithmetical basis that avoids geometrical intuitions, Watson also provides a brief account of the various applications of the theorem to the evaluation of definite integrals.
Author G. N. Watson begins by reviewing various propositions of Poincaré's Analysis Situs, upon which proof of the theorem's most general form depends. Subsequent chapters examine the calculus of residues, calculus optimization, the evaluation of definite integrals, and expansions in series. A historical summary concludes the text, which is supplemented by numerous challenging exercises.
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Book Description
Originally published in 1914 as number fifteen in the Cambridge Tracts in Mathematics and Mathematical Physics series, this book provides a concise proof of Cauchy's Theorem, along with some applications of the theorem to the evaluation of definite integrals.
About the Author
English mathematician George Neville Watson (1886–1965) was a Fellow of Trinity College, Cambridge, and a Professor at the University of Birmingham from 1918 to 1951.
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- PublisherDover Publications
- Publication date2012
- ISBN 10 0486488144
- ISBN 13 9780486488141
- BindingPaperback
- LanguageEnglish
- Number of pages96
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Paperback. Condition: new. Paperback. This brief monograph by one of the great mathematicians of the early 20th century offers a single-volume compilation of propositions employed in proofs of Cauchy's theorem. Developing an arithmetical basis that avoids geometrical intuitions, Watson also provides a brief account of the various applications of the theorem to the evaluation of definite integrals. 1914 edition. Brief monograph by a distinguished mathematician offers a single-volume compilation of propositions employed in proofs of Cauchy's theorem. Includes applications to the calculus of residues. 1914 edition. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780486488141
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