國立虎尾科技大學 |

A First Course in Complex Analysis

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	A First Course in Complex Analysis/ by Allan R. Willms.
作者:	Willms, Allan R.
面頁冊數:	IV, 237 p.online resource. :
Contained By:	Springer Nature eBook
標題:	Mathematics. -
電子資源:	https://doi.org/10.1007/978-3-031-79176-5
ISBN:	9783031791765

A First Course in Complex Analysis
Willms, Allan R.

A First Course in Complex Analysis[electronic resource] /by Allan R. Willms. - 1st ed. 2022. - IV, 237 p.online resource. - Synthesis Lectures on Mathematics & Statistics,1938-1751. - Synthesis Lectures on Mathematics & Statistics,.

Preface -- Acknowledgments -- Basics of Complex Numbers -- Functions of a Complex Variable -- Differentiation -- Contour Integration -- Cauchy Theory -- Series -- Residues -- Conformal Mapping -- Author's Biography -- Index.

This book introduces complex analysis and is appropriate for a first course in the subject at typically the third-year University level. It introduces the exponential function very early but does so rigorously. It covers the usual topics of functions, differentiation, analyticity, contour integration, the theorems of Cauchy and their many consequences, Taylor and Laurent series, residue theory, the computation of certain improper real integrals, and a brief introduction to conformal mapping. Throughout the text an emphasis is placed on geometric properties of complex numbers and visualization of complex mappings.

ISBN: 9783031791765

Standard No.: 10.1007/978-3-031-79176-5doiSubjects--Topical Terms:

527692
Mathematics.

LC Class. No.: QA1-939

Dewey Class. No.: 510

A First Course in Complex Analysis
LDR:02140nam a22003855i 4500 001 1087132
003 DE-He213
005 20220606042510.0
007 cr nn 008mamaa
008 221228s2022 sz | s |||| 0|eng d
020 $a 9783031791765 $9 978-3-031-79176-5
024 7 $a 10.1007/978-3-031-79176-5 $2 doi
035 $a 978-3-031-79176-5
050 4 $a QA1-939
072 7 $a PB $2 bicssc
072 7 $a MAT000000 $2 bisacsh
072 7 $a PB $2 thema
082 0 4 $a 510 $2 23
100 1 $a Willms, Allan R. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1394092
245 1 2 $a A First Course in Complex Analysis $h [electronic resource] / $c by Allan R. Willms.
250 $a 1st ed. 2022.
264 1 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2022.
300 $a IV, 237 p. $b online resource.
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
490 1 $a Synthesis Lectures on Mathematics & Statistics, $x 1938-1751
505 0 $a Preface -- Acknowledgments -- Basics of Complex Numbers -- Functions of a Complex Variable -- Differentiation -- Contour Integration -- Cauchy Theory -- Series -- Residues -- Conformal Mapping -- Author's Biography -- Index.
520 $a This book introduces complex analysis and is appropriate for a first course in the subject at typically the third-year University level. It introduces the exponential function very early but does so rigorously. It covers the usual topics of functions, differentiation, analyticity, contour integration, the theorems of Cauchy and their many consequences, Taylor and Laurent series, residue theory, the computation of certain improper real integrals, and a brief introduction to conformal mapping. Throughout the text an emphasis is placed on geometric properties of complex numbers and visualization of complex mappings.
650 0 $a Mathematics. $3 527692
650 0 $a Statistics . $3 1253516
650 0 $a Engineering mathematics. $3 562757
650 2 4 $a Statistics. $3 556824
650 2 4 $a Engineering Mathematics. $3 1203947
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9783031791819
776 0 8 $i Printed edition: $z 9783031791710
776 0 8 $i Printed edition: $z 9783031791864
830 0 $a Synthesis Lectures on Mathematics & Statistics, $x 1938-1751 $3 1388395
856 4 0 $u https://doi.org/10.1007/978-3-031-79176-5
912 $a ZDB-2-SXSC
950 $a Synthesis Collection of Technology (R0) (SpringerNature-85007)