Complex Analysis and Applications

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 stu...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριος συγγραφέας: Pathak, Hemant Kumar (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Singapore : Springer Singapore : Imprint: Springer, 2019.
Έκδοση:1st ed. 2019.
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
LEADER 03437nam a2200493 4500
001 978-981-13-9734-9
003 DE-He213
005 20191024171608.0
007 cr nn 008mamaa
008 190819s2019 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 
040 |d GrThAP 
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.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
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. 
650 0 |a Analysis (Mathematics). 
650 0 |a Applied mathematics. 
650 0 |a Engineering mathematics. 
650 0 |a Number theory. 
650 1 4 |a Analysis.  |0 http://scigraph.springernature.com/things/product-market-codes/M12007 
650 2 4 |a Applications of Mathematics.  |0 http://scigraph.springernature.com/things/product-market-codes/M13003 
650 2 4 |a Number Theory.  |0 http://scigraph.springernature.com/things/product-market-codes/M25001 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer eBooks 
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  |z Full Text via HEAL-Link 
912 |a ZDB-2-SMA 
950 |a Mathematics and Statistics (Springer-11649)