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	Complex Function Theory by Donald Sarason
	Price : Rs 170.00
	Your Price : Rs 170.00

Complex Function Theory is a concise and rigorous introduction to the theory of functions of a complex variable. Written in a classical style, it is in the spirit of the books by Ahlfors and by Saks and Zygmund. Being designed for a one-semester course, it is much shorter than many of the standard texts. Sarason covers the basic material through Cauchy`s theorem and applications, plus the Riemann mapping theorem. It is suitable for either an introductory graduate course or an undergraduate course for students with adequate preparation.

The first edition was published with the title Notes on Complex Function Theory.

Contents: Chapter I: Complex Numbers Chapter II: Complex Differentiation Chapter III: Linear-Fractional Transformations Chapter IV: Elementary Functions Chapter V: Power Series Chapter VI: Complex Integration Chapter VII: Core Versions of Cauchy’s Theorem, and Consequences Chapter VIII: Laurent Series and Isolated Singularities Chapter IX: Cauchy’s Theorem Chapter X: Further Development of Basic Complex Function Theory

Appendix 1: Sufficient condition for differentiability Appendix 2: Two instances of the chain rule Appendix 3: Groups, and linear-fractional transformations Appendix 4: Differentiation under the integral sign
ISBN - 8185931844

Pages : 178