A Second Course in Complex Analysis (Dover Books on by William A. Veech PDF

By William A. Veech

A transparent, self-contained remedy of vital parts in complicated research, this article is aimed at upper-level undergraduates and graduate scholars. the cloth is basically classical, with specific emphasis at the geometry of advanced mappings.
Author William A. Veech, the Edgar Odell Lovett Professor of arithmetic at Rice college, offers the Riemann mapping theorem as a distinct case of an lifestyles theorem for common overlaying surfaces. His specialise in the geometry of complicated mappings makes widespread use of Schwarz's lemma. He constructs the common protecting floor of an arbitrary planar area and employs the modular functionality to improve the theorems of Landau, Schottky, Montel, and Picard as results of the life of convinced coverings. Concluding chapters discover Hadamard product theorem and best quantity theorem.

Show description

Read Online or Download A Second Course in Complex Analysis (Dover Books on Mathematics) PDF

Similar calculus books

Damien Lamberton,Bernard Lapeyre's Introduction to Stochastic Calculus Applied to Finance, PDF

Because the ebook of the 1st version of this ebook, the realm of mathematical finance has grown quickly, with monetary analysts utilizing extra subtle mathematical innovations, reminiscent of stochastic integration, to explain the habit of markets and to derive computing equipment. keeping the lucid form of its renowned predecessor, advent to Stochastic Calculus utilized to Finance, moment variation accommodates a few of these new ideas and ideas to supply an available, up to date initiation to the sphere.

Read e-book online Elementary Analysis: The Theory of Calculus (Undergraduate PDF

For over 3 a long time, this best-selling vintage has been utilized by hundreds of thousands of scholars within the usa and in another country as essential textbook for a transitional path from calculus to research. It has confirmed to be very worthy for arithmetic majors who've no prior adventure with rigorous proofs.

Download e-book for iPad: Applications of Tensor Analysis (Dover Books on Mathematics) by A. J. McConnell

This average paintings applies tensorial the right way to matters in the realm of complex university arithmetic. In its 4 major divisions, it explains the basic rules and the notation of tensor thought; covers the geometrical remedy of tensor algebra; introduces the speculation of the differentiation of tensors; and applies arithmetic to dynamics, electrical energy, elasticity, and hydrodynamics.

Get Inequalities: A Journey into Linear Analysis: A Journey into PDF

Encompasses a wealth of inequalities utilized in linear research, and explains intimately how they're used. The booklet starts with Cauchy's inequality and ends with Grothendieck's inequality, in among one reveals the Loomis-Whitney inequality, maximal inequalities, inequalities of Hardy and of Hilbert, hypercontractive and logarithmic Sobolev inequalities, Beckner's inequality, and lots of, many extra.

Additional info for A Second Course in Complex Analysis (Dover Books on Mathematics)

Example text

Download PDF sample

A Second Course in Complex Analysis (Dover Books on Mathematics) by William A. Veech

by Donald

Rated 4.61 of 5 – based on 31 votes