Complex Integration and Cauchy's Theorem - Brossura

Watson, G. N.

Brossura

ISBN 10: 0486488144 ISBN 13: 9780486488141

Casa editrice: Dover Pubns, 2012

Riassunto

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.

Su questo libro

Informazioni sull?autore

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.

Dettagli dell'edizione

• Editore: Dover Pubns
• Data di pubblicazione: 2012
• Lingua: Inglese
• ISBN 10: 0486488144
• ISBN 13: 9780486488141
• Rilegatura: Copertina flessibile
• Numero di pagine: 79
• Contatto del produttore: non disponibile
• Persona responsabile: Soc. Agr. La Raia Ss; http://www.la-raia.it; ; Strada Monterotondo, 79; Novi Ligure; 15067; Italia