Complex Integration and Cauchy's Theorem
by G. N. Watson
Publisher: Cambridge University Press 1914
Number of pages: 100
This brief monograph by one of the great mathematicians of the early 20th 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.
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by Andrew Russell Forsyth - Cambridge University Press
The present treatise is an attempt to give a consecutive account of what may fairly be deemed the principal branches of the whole subject. The book may assist mathematicians, by lessening the labour of acquiring a proper knowledge of the subject.
by James McMahon - John Wiley & Sons
College students who wish to know something of the hyperbolic trigonometry, will find it presented in a simple and comprehensive way in the first half of the work. Readers are then introduced to the more general trigonometry of the complex plane.
by Georges Valiron - Chelsea Pub. Co.
These lectures give us, in the form of a number of elegant and illuminating theorems, the latest word of mathematical science on the subject of Integral Functions. They descend to details, they take us into the workshop of the working mathematician.
by Heinrich Burkhardt - D. C. Heath
Contents: Complex numbers and their geometrical representation; Rational functions of a complex variable; Theory of real variables and their functions; Single-valued analytic functions of a complex variable; General theory of functions; etc.