Several chapters there deal with the subject of complex variables. Rudin's book, Real and Complex Analysis is also a valuable reference. Caratheódory, Constantin. Theory of Functions of a Complex Variable. Rhode Island: AMS Chelsea Pub, ISBN: Caratheódory, Constantin, and F. Steinhardt. Theory of Functions of a Complex. This book is intended as a textbook for a first course in the theory of functions of one complex variable for students who are mathematically mature enough to understand and execute E - 8 arguments/5(5). book The theory of functions of a complex variable Alekseĭ Georgievich Sveshnikov, Andrej Nikolaevič Tichonov, George Yankovsky Published in in Moscow by MirCited by: Functions of a Complex Variable provides all the material for a course on the theory of functions of a complex variable at the senior undergraduate and beginning graduate level.

The readings from this course are assigned from the text and supplemented by original notes by Prof. Helgason. The lecture notes were prepared by Zuoqin Wang under the guidance of Prof. Helgason. Text. Ahlfors, Lars V. Complex Analysis: An Introduction to the Theory of Analytic Functions of One Complex Variable. 3rd ed. New York, NY: McGraw. Even if component functions of a complex function have all the partial derivatives, does not imply that the complex function will be differentiable. See Example Some rules for obtaining the derivatives of functions are listed here. Let ½ and ¾ be differentiable at ¿ . This book is intended as a textbook for a first course in the theory of functions of one complex variable for students who are mathematically mature enough to understand and execute E - 8 arguments. The actual pre requisites for reading this book are quite minimal; not much more than a stiff. In the narrow sense of the term, the theory of function of a complex variable is the theory of analytic functions (cf. Analytic function) of one or several complex variables. As an independent discipline, the theory of functions of a complex variable took shape in about the middle of the 19th century as the theory of analytic functions.

Read Theory of the Algebraic Functions of a Complex Variable absolutely for free at walkingshops.com9/10(1). Dec 17, · Theory of Functions of a Complex Variable. vol. I. C. walkingshops.com by F. Steinhardt. Chelsea Publ., New York, xii + pp. Illus. $Author: Maurice Heins. Dec 06, · Unlike negative numbers and fractions that have direct fairly elementary applications, complex numbers are mostly of use in more advanced work. The first application was in solving real cubic and quartic equations. When the (real) solution is uniq. May 06, · This book doesn't play around. It's got complete sections & proofs of things like the Jordan Curve theorem & big Picard, & I guess it probably should considering it's pages.