國立虎尾科技大學 |

Complex Analysis and Applications

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Complex Analysis and Applications/ by Hemant Kumar Pathak.
Author:	Pathak, Hemant Kumar.
Description:	XXV, 928 p. 261 illus.online resource. :
Contained By:	Springer Nature eBook
Subject:	Mathematical analysis. -
Online resource:	https://doi.org/10.1007/978-981-13-9734-9
ISBN:	9789811397349

Complex Analysis and Applications
Pathak, Hemant Kumar.

Complex Analysis and Applications[electronic resource] /by Hemant Kumar Pathak. - 1st ed. 2019. - XXV, 928 p. 261 illus.online resource.

1. Complex Numbers and Metric Topology of C -- 2. Analytic Functions,Power Series and Elementary Complex Functions -- 3. Complex Integrations -- 4. Singularities,Meromorphic Functions and Principle of Argument -- 5. Calculus of Residues -- 6. Bilinear Transformations -- 7. Conformal Mappings -- 8. Spaces of Analytic Functions -- 9. Entire Functions -- 10. Analytic Continuation -- 11. Harmonic Functions, Uniform Convergence and Integral Functions -- 12. Canonical Products and Convergence of Entire Functions -- 13. The Range of an Analytic Function -- 14. Univalent Functions.

This book offers an essential textbook on complex analysis. After introducing the theory of complex analysis, it places special emphasis on the importance of Poincare theorem and Hartog’s theorem in the function theory of several complex variables. Further, it lays the groundwork for future study in analysis, linear algebra, numerical analysis, geometry, number theory, physics (including hydrodynamics and thermodynamics), and electrical engineering. To benefit most from the book, students should have some prior knowledge of complex numbers. However, the essential prerequisites are quite minimal, and include basic calculus with some knowledge of partial derivatives, definite integrals, and topics in advanced calculus such as Leibniz’s rule for differentiating under the integral sign and to some extent analysis of infinite series. The book offers a valuable asset for undergraduate and graduate students of mathematics and engineering, as well as students with no background in topological properties.

ISBN: 9789811397349

Standard No.: 10.1007/978-981-13-9734-9doiSubjects--Topical Terms:

527926
Mathematical analysis.

LC Class. No.: QA299.6-433

Dewey Class. No.: 515

Complex Analysis and Applications
LDR:02863nam a22003855i 4500 001 1011629
003 DE-He213
005 20200702075432.0
007 cr nn 008mamaa
008 210106s2019 si | s |||| 0|eng d
020 $a 9789811397349 $9 978-981-13-9734-9
024 7 $a 10.1007/978-981-13-9734-9 $2 doi
035 $a 978-981-13-9734-9
050 4 $a QA299.6-433
072 7 $a PBK $2 bicssc
072 7 $a MAT034000 $2 bisacsh
072 7 $a PBK $2 thema
082 0 4 $a 515 $2 23
100 1 $a Pathak, Hemant Kumar. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1205155
245 1 0 $a Complex Analysis and Applications $h [electronic resource] / $c by Hemant Kumar Pathak.
250 $a 1st ed. 2019.
264 1 $a Singapore : $b Springer Singapore : $b Imprint: Springer, $c 2019.
300 $a XXV, 928 p. 261 illus. $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
505 0 $a 1. Complex Numbers and Metric Topology of C -- 2. Analytic Functions,Power Series and Elementary Complex Functions -- 3. Complex Integrations -- 4. Singularities,Meromorphic Functions and Principle of Argument -- 5. Calculus of Residues -- 6. Bilinear Transformations -- 7. Conformal Mappings -- 8. Spaces of Analytic Functions -- 9. Entire Functions -- 10. Analytic Continuation -- 11. Harmonic Functions, Uniform Convergence and Integral Functions -- 12. Canonical Products and Convergence of Entire Functions -- 13. The Range of an Analytic Function -- 14. Univalent Functions.
520 $a This book offers an essential textbook on complex analysis. After introducing the theory of complex analysis, it places special emphasis on the importance of Poincare theorem and Hartog’s theorem in the function theory of several complex variables. Further, it lays the groundwork for future study in analysis, linear algebra, numerical analysis, geometry, number theory, physics (including hydrodynamics and thermodynamics), and electrical engineering. To benefit most from the book, students should have some prior knowledge of complex numbers. However, the essential prerequisites are quite minimal, and include basic calculus with some knowledge of partial derivatives, definite integrals, and topics in advanced calculus such as Leibniz’s rule for differentiating under the integral sign and to some extent analysis of infinite series. The book offers a valuable asset for undergraduate and graduate students of mathematics and engineering, as well as students with no background in topological properties.
650 0 $a Mathematical analysis. $3 527926
650 0 $a Analysis (Mathematics). $3 1253570
650 0 $a Applied mathematics. $3 1069907
650 0 $a Engineering mathematics. $3 562757
650 0 $a Number theory. $3 527883
650 1 4 $a Analysis. $3 669490
650 2 4 $a Applications of Mathematics. $3 669175
650 2 4 $a Number Theory. $3 672023
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9789811397332
776 0 8 $i Printed edition: $z 9789811397356
856 4 0 $u https://doi.org/10.1007/978-981-13-9734-9
912 $a ZDB-2-SMA
912 $a ZDB-2-SXMS
950 $a Mathematics and Statistics (SpringerNature-11649)
950 $a Mathematics and Statistics (R0) (SpringerNature-43713)