Complex Integration & Cauchy's Theorem (Dover Books on Mathematics) - Softcover

Watson, George Neville

Softcover

ISBN 10: 0486488144 ISBN 13: 9780486488141

Verlag: DOVER PUBN INC, 2012

Inhaltsangabe

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.

Über diesen Titel

Über die Autorin bzw. den Autor

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.

Details zur Ausgabe

• Verlag: DOVER PUBN INC
• Erscheinungsdatum: 2012
• Sprache: Englisch
• ISBN 10: 0486488144
• ISBN 13: 9780486488141
• Einband: Taschenbuch
• Anzahl der Seiten: 79
• Kontakt zum Hersteller: Nicht verfügbar
• Verantwortliche Person: Nicht verfügbar