Complex Analysis: Complex Numbers, De Moivre's Theorem, Differentiation and Integration of Functions of a Complex Variable - Softcover

MISRA, RAM BILAS

Softcover

ISBN 10: 3843388598 ISBN 13: 9783843388597

Publisher: LAP LAMBERT Academic Publishing, 2010

Synopsis

The present book offers a first course on Complex Analysis. It deals with the differential and integral properties of functions of a single complex variable. It includes conformal transformations and applications of complex analysis to potential theory and flow problems.The subject matter is presented here in five chapters. It starts with a historical note for the introduction and subsequent development of the subject right from the initial stage to the present modern complex analysis. The first chapter includes the introduction of complex numbers, their geometric representation, De Moivre's theorem, roots and logarithm of a complex number and real and imaginary parts of a complex function.The concepts of differential calculus for functions of a complex variable are outlined in the second chapter. It gives the concept of limit and differentiability of a function. Analytic properties and Cauchy-Riemann equations form the main subject matter of this chapter. The third chapter deals with the integration of functions of a complex variable.

About this title

About the Author

Prof Dr RB Misra has been teaching Maths at UG/PG levels since 1962. Starting from the Uni of Allahabad (4th oldest Uni in the Indian sub-continent) he taught at various universities within India and abroad.He published over 150 Res. Articles in Maths in leading journals of international repute and has been a regular Reviewer in MR and Zbl.

Edition details

• Publisher: LAP LAMBERT Academic Publishing
• Publication date: 2010
• Language: English
• ISBN 10: 3843388598
• ISBN 13: 9783843388597
• Binding: Paperback
• Number of pages: 108