Complex Integration and Cauchy's Theorem

Complex Integration and Cauchy's TheoremThis 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 Poincar's Analysis

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Knowledge of perturbation theory offers a twofold benefit: approximate solutions often reveal the exact solution's essential dependence on specified parameters

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is treated in detail from the axiom schemes through the deduction theorem to the completeness theorem

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