Description 
1 online resource (402 pages) 
Summary 
This new edition of a classic textbook develops complex analysis from the established theory of real analysis by emphasising the differences that arise as a result of the richer geometry of the complex plane. Key features of the authors' approach are to use simple topological ideas to translate visual intuition to rigorous proof, and, in this edition, to address the conceptual conflicts between pure and applied approaches headon. Beyond the material of the clarified and corrected original edition, there are three new chapters: Chapter 15, on infinitesimals in real and complex analysis; Chapter 16, on homology versions of Cauchy's theorem and Cauchy's residue theorem, linking back to geometric intuition; and Chapter 17, outlines some more advanced directions in which complex analysis has developed, and continues to evolve into the future. With numerous worked examples and exercises, clear and direct proofs, and a view to the future of the subject, this is an invaluable companion for any modern complex analysis course 
Notes 
Vendorsupplied metadata 
Subject 
Functions of complex variables.


Numbers, Complex.


Geometry, Analytic  Plane.


Functions of complex variables


Geometry, Analytic  Plane


Numbers, Complex

Form 
Electronic book

Author 
Tall, David Orme, author

ISBN 
9781108505468 

1108505465 
