Полное описание

Alpay, D. A Complex Analysis Problem Book : монография / by Daniel Alpay. - Basel : Springer, 2011. - on-line. - URL: http://dx.doi.org/10.1007/978-3-0348-0078-5. - Загл. с экрана. - ISBN 978-3-0348-0078-5. - Текст : электронный.
Содержание:
Prologue -- I Complex numbers -- 1 Complex numbers: algebra -- 2 Complex numbers: geometry -- 3 Complex numbers and analysis -- 4. Remarks and generalizations: quaternions, etc -- II Functions of a complex variable -- 5 C-differentiable functions -- 6 Cauchy's theorem -- 7 First applications -- 8 Laurent expansions and applications -- 9 Computations of definite integrals -- 10 Harmonic functions -- 11 Conformal mappings.-III Complements -- 12 Some useful theorems -- 13 Some topology -- References -- Index.

ГРНТИ	УДК
27.27	517.53/.55

Рубрики:
mathematics
functions of complex variables
mathematics
functions of a Complex Variable

Аннотация: This is a collection of exercises in the theory of analytic functions, with completed and detailed solutions. We wish to introduce the student to applications and aspects of the theory of analytic functions not always touched upon in a first course. Using appropriate exercises show the students some aspects of what lies beyond a first course in complex variables. We also discuss topics of interest for electrical engineering students (for instance, the realization of rational functions and its connections to the theory of linear systems and state space representations of such systems). Examples of  important Hilbert spaces of analytic functions (in particular the Hardy space and the Fock space) are given. The book also includes a part where relevant facts from topology, functional analysis and Lebesgue integration are reviewed.

http://dx.doi.org/10.1007/978-3-0348-0078-5

Держатели документа:
Государственная публичная научно-техническая библиотека России : 123298, г. Москва, ул. 3-я Хорошевская, д. 17 (Шифр в БД-источнике (KATBW): -325721965)

Шифр в сводном ЭК: 624977c9d427aeec4c0418852cf7d8f9

Просмотр издания