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

Watson, G.N.

Softcover

ISBN 10: 0486488144 ISBN 13: 9780486488141

Publisher: Dover Publications, 2012

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 this title

Book Description:

Originally published in 1914 as number fifteen in the Cambridge Tracts in Mathematics and Mathematical Physics series, this book provides a concise proof of Cauchy's Theorem, along with some applications of the theorem to the evaluation of definite integrals.

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.

About this edition

• Publisher: Dover Publications
• Publication date: 2012
• ISBN 10: 0486488144
• ISBN 13: 9780486488141
• Binding: Paperback
• Number of pages: 96