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Complex Integration and Cauchy's Theorem

Complex Integration and Cauchy's Theorem

By: G.N. Watson

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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.

Reprint of the Cambridge University Press, 1914 edition.
AvailabilityUsually ships in 24 to 48 hours
ISBN 100486488144
ISBN 139780486488141
Author/EditorG.N. Watson
Page Count96
Dimensions5 3/8 x 8 1/2

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