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Complex Analysis (EMS Textbooks in Mathematics) by Bruna J., Cufi J. is a nonfiction available to read on EtoBox.

What is Complex Analysis (EMS Textbooks in Mathematics) about?

The theory of functions of a complex variable is a central theme in mathematical analysis that has links to several branches of mathematics. Understanding the basics of the theory is necessary for anyone interested in general mathematical training or for anyone who wants to use mathematics in applied sciences or technology. The book presents the basic theory of analytic functions of a complex variable and their points of contact with other parts of mathematical analysis. This results in some new approaches to a number of topics when compared to the current literature on the subject. Some issues covered are: a real version of the Cauchy-Goursat theorem, theorems of vector analysis with weak regularity assumptions, an approach to the concept of holomorphic functions of real variables, Green's formula with multiplicities, Cauchy's theorem for locally exact forms, a study in parallel of Poisson's equation and the inhomogeneous Cauchy-Riemann equations, the relationship between Green's function and conformal mapping, the connection between the solution of Poisson's equation and zeros of holomorphic functions, and the Whittaker-Shannon theorem of information theory. The text can be used

Who reads Complex Analysis (EMS Textbooks in Mathematics)?

Author

Bruna J., Cufi J.

Publisher

European Mathematical Society Publishing House

Published

2013

Language

EN

ISBN

9783037191088

Category

nonfiction

Subjects

Mathematics, Stem