Complex Integration & Cauchy's Theorem

George Neville Watson

ISBN 10: 0486488144 / ISBN 13: 9780486488141

Editore: Dover Publications Apr 2012, 2012

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Neuware - 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.

Codice articolo 9780486488141

Dati bibliografici

• Titolo: Complex Integration & Cauchy's Theorem
• Editore: Dover Publications Apr 2012
• Data di pubblicazione: 2012
• Lingua: Inglese
• ISBN 10: 0486488144
• ISBN 13: 9780486488141
• Rilegatura: Taschenbuch
• Condizione: Neu
• Dimensioni: 216 L x 136 A x 10 P (millimetri) 216 millimetri di larghezza per 136 millimetri di altezza per 10 millimetri di profondità
• Peso: 112 grammi

Descrizione articolo

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.

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.