Complex Integration and Cauchy's Theorem

Nonfiction, Science & Nature, Mathematics, Functional Analysis
Cover of the book Complex Integration and Cauchy's Theorem by G.N. Watson, Dover Publications
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: G.N. Watson ISBN: 9780486283562
Publisher: Dover Publications Publication: May 13, 2013
Imprint: Dover Publications Language: English
Author: G.N. Watson
ISBN: 9780486283562
Publisher: Dover Publications
Publication: May 13, 2013
Imprint: Dover Publications
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Dover Publications

Cover of the book Carlson's Guide to Landscape Painting by G.N. Watson
Cover of the book Fyodor Dostoyevsky The Dover Reader by G.N. Watson
Cover of the book Long Island Seafood Cookbook by G.N. Watson
Cover of the book The World's Great Speeches by G.N. Watson
Cover of the book From X-rays to Quarks by G.N. Watson
Cover of the book Aerodynamics of the Airplane by G.N. Watson
Cover of the book Game, Set and Math by G.N. Watson
Cover of the book Essential Swedish Grammar by G.N. Watson
Cover of the book A Treatise on the Decorative Part of Civil Architecture by G.N. Watson
Cover of the book The History of Piracy by G.N. Watson
Cover of the book Japanese Love Poems by G.N. Watson
Cover of the book Mathematical Conversations by G.N. Watson
Cover of the book Technical Calculus with Analytic Geometry by G.N. Watson
Cover of the book Self-Reliance and Other Essays by G.N. Watson
Cover of the book Games, Theory and Applications by G.N. Watson
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy