Logo

Complex Integration and Cauchy's Theorem

Large book cover: Complex Integration and Cauchy's Theorem

Complex Integration and Cauchy's Theorem
by

Publisher: Cambridge University Press
ISBN/ASIN: 0486488144
Number of pages: 100

Description:
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.

Home page url

Download or read it online for free here:
Download link
(multiple formats)

Similar books

Book cover: Lectures on The Theory of Functions of Several Complex VariablesLectures on The Theory of Functions of Several Complex Variables
by - Tata Institute of Fundamental Research
Contents: Cauchy's formula and elementary consequences; Reinhardt domains and circular domains; Complex analytic manifolds; Analytic Continuation; Envelopes of Holomorphy; Domains of Holomorphy - Convexity Theory; d''-cohomology on the cube; etc.
(5968 views)
Book cover: Lectures on Stratification of Complex Analytic SetsLectures on Stratification of Complex Analytic Sets
by - Tata Institute of Fundamental Research
Contents: Preliminaries; Some theorems on stratification; Whitney's Theorems (Tangent Cones, Wings, The singular set Sa); Whitney Stratifications and pseudofibre bundles (Pseudo fibre spaces, Obstructions in pseudo-fibrations, etc.).
(4844 views)
Book cover: Lectures on The Riemann Zeta-FunctionLectures on The Riemann Zeta-Function
by - Tata Institute of Fundamental Research
These notes provide an intorduction to the theory of the Riemann Zeta-function for students who might later want to do research on the subject. The Prime Number Theorem, Hardy's theorem, and Hamburger's theorem are the principal results proved here.
(7617 views)
Book cover: Holomorphic SpacesHolomorphic Spaces
by - Cambridge University Press
This volume consists of expository articles on holomorphic spaces. Topics covered are Hardy spaces, Bergman spaces, Dirichlet spaces, Hankel and Toeplitz operators, and a sampling of the role these objects play in modern analysis.
(7006 views)