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An introduction to complex analysis /

Agarwal, Ravi P.

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An introduction to complex analysis /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	An introduction to complex analysis // Ravi P. Agarwal, Kanishka Perera, Sandra Pinelas.
Author:	Agarwal, Ravi P.
other author:	Perera, Kanishka,
Published:	New York :Springer, : c2011.,
Description:	xiv, 331 p. :ill. ;24 cm.
Subject:	Numbers, Complex. -
ISBN:	9781461401940 (hbk.) :

An introduction to complex analysis /
Agarwal, Ravi P.

An introduction to complex analysis /Ravi P. Agarwal, Kanishka Perera, Sandra Pinelas. - New York :Springer,c2011. - xiv, 331 p. :ill. ;24 cm.

Includes bibliographical references and index.

Complex numbers I --

ISBN: 9781461401940 (hbk.) :EUR59.95Subjects--Topical Terms:

540189
Numbers, Complex.

LC Class. No.: QA255 / .A33 2011

An introduction to complex analysis /
LDR:02176cam a2200181 a 4500 001 1267264
003 OCoLC
005 20120831043627.0
008 120907s2011 nyua b 001 0 eng d
020 $a 9781461401940 (hbk.) : $c EUR59.95
020 $a 1461401941 (hbk.)
020 $a 9781461401957 (ebk.)
040 $a BTCTA $b eng
050 # 4 $a QA255 $b .A33 2011
100 1 $a Agarwal, Ravi P. $3 672910
245 1 0 $a An introduction to complex analysis / $c Ravi P. Agarwal, Kanishka Perera, Sandra Pinelas.
260 # $a New York : $b Springer, $c c2011.
300 $a xiv, 331 p. : $b ill. ; $c 24 cm.
504 $a Includes bibliographical references and index.
505 0 # $t Complex numbers I -- $t Co $m plex numbers II -- $t Complex numbers III -- $t Set theory in the complex plane -- $t Complex functions -- $t Analytic functions I -- $t Analytic functions II -- $t Elementary functions I -- $t Elementary functions II -- $t Mappings by functions I -- $t Mappings by functions II -- $t Curves, Contours, and simply connected domains -- $t Complex integration -- $t Independence of path -- $t Cauchy-Goursat theorem -- $t Deformation theorem -- $t Cauchy's integral formula -- $t Cauchy's integral formula for derivatives -- $t The fundamental theorem of algebra -- $t Maximum modulus principle -- $t Sequences and series of numbers -- $t Sequences and series of functions -- $t Power series -- $t Taylor's series -- $t Laurent's series -- $t Zeros of analytic functions -- $t Analytic continuation -- $t Symmetry and reflection -- $t Singularities and poles I -- $t Singularities and poles II -- $t Cauchy's residue theorem -- $t Evaluation of real integrals by contour integration I -- $t Evaluation of real integrals by contour integration II -- $t Indented contour integrals -- $t Contour integrals involving multi-valued functions -- $t Summation of series -- $t Argument principle and Rouchâe and Hurwitz theorems -- $t Behavior of analytic mappings -- $t Conformal mappings -- $t Harmonic functions -- $t The Schwarz-Christoffel transformation -- $t Infinite products -- $t Weierstrass's factorization theorem -- $t Mittag-Leffler theorem -- $t Periodic functions -- $t The Riemann Zeta function -- $t Bieberbach's conjecture -- $t The Riemann surfaces -- $t Julia and Mandelbrot sets -- $t History of complex numbers.
650 # 0 $a Numbers, Complex. $3 540189
650 # 0 $a Mathematical analysis. $3 516833
700 1 # $a Perera, Kanishka, $d 1969- $3 1084077
700 1 # $a Pinelas, Sandra. $3 1535308