Complex Integration and Cauchy's Theorem

Mathematics, Watson, G. N.

ISBN 10: 0486488144 / ISBN 13: 9780486488141

Published by Dover Publications, Incorporated, 2012

Ships from the UK. Former library book; may include library markings. Used book that is in excellent condition. May show signs of wear or have minor defects. Seller Inventory # 18756088-75

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.

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.

Bibliographic Details

Title: Complex Integration and Cauchy's Theorem
Publisher: Dover Publications, Incorporated
Publication Date: 2012
Binding: Soft cover
Condition: Very Good