FreeComputerBooks.com
Links to Free Computer, Mathematics, Technical Books all over the World


 Title Complex Integration and Cauchy's Theorem
 Author(s) G.N. Watson
 Publisher: Dover Publications (April 19, 2012); Cambridge University Press (1914)
 Hardcover/Paperback 96 pages
 eBook PDF (100 pages, 3.2 MB), ePub, Kindle, Daisy, DjVu, etc.
 Language: English
 ISBN10: 0486488144
 ISBN13: 9780486488141
 Share This:
Book Description
This brief monograph by one of the great mathematicians of the early twentieth century offers a singlevolume 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 Poincare'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(s) G.N. Watson was an English mathematician, who applied complex analysis to the theory of special functions.