# [[ Free Reading ]] Complex Functions: An Algebraic and Geometric Viewpoint (English Edition) eBook: Gareth A. Jones, David Singerman: Amazon.es: Tienda Kindle Author Gareth A Jones – Andy-palmer.co.uk

Elliptic Functions And Riemann Surfaces Played An Important Role In Nineteenth Century Mathematics At The Present Time There Is A Great Revival Of Interest In These Topics Not Only For Their Own Sake But Also Because Of Their Applications To So Many Areas Of Mathematical Research From Group Theory And Number Theory To Topology And Differential Equations In This Book The Authors Give Elementary Accounts Of Many Aspects Of Classical Complex Function Theory Including Mbius Transformations, Elliptic Functions, Riemann Surfaces, Fuchsian Groups And Modular Functions A Distinctive Feature Of Their Presentation Is The Way In Which They Have Incorporated Into The Text Many Interesting Topics From Other Branches Of Mathematics This Book Is Based On Lectures Given To Advanced Undergraduates And Is Well Suited As A Textbook For A Second Course In Complex Function Theory Professionals Will Also Find It Valuable As A Straightforward Introduction To A Subject Which Is Finding Widespread Application Throughout Mathematics

this book goes from the Riemann sphere up to the modular function and the great Picard Theorem via geometry and group theory it is an excellent book to begin with from an elementary knowledge of complex functions since it is rather self contained I see it as a fine blending of different area of mathematics and as such it should help its reader towards understanding through serious work of those As an example, I opened the book at

First there are two short chapters on the Riemann sphere and M bius transformations, probably partly familiar to many readers Chapter 3 on elliptic functions opens with the following sentence, which illustrates the type of unconvincing pseudo motivation that occur throughout the book Having considered the sphere and its meromorphic functions in the first part of this book, we now turn our attention to another compact surface, the torus, an

This book was very useful to me during an undergrad course on modular functions A good blend of number theory, algebraic geometry, and complex analysis at an approachable level Lots of interesting results presented very clearly.

This book is a very nice introduction to some beautiful mathematics.