東華大學圖書館 |

語系: 繁體中文

說明(常見問題)

回圖書館首頁

手機版館藏查詢

登入

回首頁

切換: 標籤 | MARC模式 | ISBD

Complex analysis and applications

Pathak, Hemant Kumar.

FindBook

Google Book

Amazon

博客來

Complex analysis and applications

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Complex analysis and applications/ by Hemant Kumar Pathak.
作者:	Pathak, Hemant Kumar.
出版者:	Singapore :Springer Singapore : : 2019.,
面頁冊數:	xxv, 928 p. :ill., digital ;24 cm.
內容註:	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.
Contained By:	Springer Nature eBook
標題:	Functions of complex variables. -
電子資源:	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. - Singapore :Springer Singapore :2019. - xxv, 928 p. :ill., digital ;24 cm.

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:

523875
Functions of complex variables.

LC Class. No.: QA331 / .P37 2019

Dewey Class. No.: 515.9

Complex analysis and applications
LDR:02558nmm a2200325 a 4500 001 2243191
003 DE-He213
005 20200702075432.0
006 m d
007 cr nn 008maaau
008 211207s2019 si s 0 eng d
020 $a 9789811397349 $q (electronic bk.)
020 $a 9789811397332 $q (paper)
024 7 $a 10.1007/978-981-13-9734-9 $2 doi
035 $a 978-981-13-9734-9
040 $a GP $c GP
041 0 $a eng
050 4 $a QA331 $b .P37 2019
072 7 $a PBK $2 bicssc
072 7 $a MAT034000 $2 bisacsh
072 7 $a PBK $2 thema
082 0 4 $a 515.9 $2 23
090 $a QA331 $b .P297 2019
100 1 $a Pathak, Hemant Kumar. $3 2184873
245 1 0 $a Complex analysis and applications $h [electronic resource] / $c by Hemant Kumar Pathak.
260 $a Singapore : $b Springer Singapore : $b Imprint: Springer, $c 2019.
300 $a xxv, 928 p. : $b ill., digital ; $c 24 cm.
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 Functions of complex variables. $3 523875
650 0 $a Mathematical analysis. $3 516833
650 1 4 $a Analysis. $3 891106
650 2 4 $a Applications of Mathematics. $3 890893
650 2 4 $a Number Theory. $3 891078
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
856 4 0 $u https://doi.org/10.1007/978-981-13-9734-9
950 $a Mathematics and Statistics (SpringerNature-11649)