000 -LEADER |
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003 - CONTROL NUMBER IDENTIFIER |
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OSt |
005 - DATE AND TIME OF LATEST TRANSACTION |
control field |
20140310151451.0 |
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION |
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008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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110818s2011 sz | s |||| 0|eng d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
9783034800785 |
|
978-3-0348-0078-5 |
050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
Classification number |
QA331-355 |
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
Classification number |
515.9 |
Edition number |
23 |
264 #1 - |
-- |
Basel : |
-- |
Springer Basel, |
-- |
2011. |
912 ## - |
-- |
ZDB-2-SMA |
100 1# - MAIN ENTRY--PERSONAL NAME |
Personal name |
Alpay, Daniel. |
Relator term |
author. |
245 12 - IMMEDIATE SOURCE OF ACQUISITION NOTE |
Title |
A Complex Analysis Problem Book |
Medium |
[electronic resource] / |
Statement of responsibility, etc |
by Daniel Alpay. |
300 ## - PHYSICAL DESCRIPTION |
Extent |
X, 526p. |
Other physical details |
online resource. |
505 0# - FORMATTED CONTENTS NOTE |
Formatted contents note |
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. |
520 ## - SUMMARY, ETC. |
Summary, etc |
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. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Mathematics. |
|
Topical term or geographic name as entry element |
Functions of complex variables. |
|
Topical term or geographic name as entry element |
Mathematics. |
|
Topical term or geographic name as entry element |
Functions of a Complex Variable. |
710 2# - ADDED ENTRY--CORPORATE NAME |
Corporate name or jurisdiction name as entry element |
SpringerLink (Online service) |
773 0# - HOST ITEM ENTRY |
Title |
Springer eBooks |
776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
Display text |
Printed edition: |
International Standard Book Number |
9783034800778 |
856 40 - ELECTRONIC LOCATION AND ACCESS |
Uniform Resource Identifier |
http://dx.doi.org/10.1007/978-3-0348-0078-5 |
942 ## - ADDED ENTRY ELEMENTS (KOHA) |
Source of classification or shelving scheme |
|
Item type |
E-Book |