Items related to Complex Integration and Cauchy's Theorem (Dover...

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

Book 204 of 303: Dover Books on Mathematics

Watson, G.N.

 
9780486488141: Complex Integration and Cauchy's Theorem (Dover Books on Mathematics)
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.

"synopsis" may belong to another edition of this title.

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 title" may belong to another edition of this title.

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