Complex Analysis

John M. Howie

256 pages, parution le 16/06/2003

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Résumé

Complex analysis is one of the most attractive of all the core topics in an undergraduate mathematics course. Its importance to applications means that it can be studied both from a very pure perspective and a very applied perspective.
This book takes account of these varying needs and backgrounds and provides a self-study text for students in mathematics, science and engineering. Beginning with a summary of what the student needs to know at the outset, it covers all the topics likely to feature in a first course in the subject, including: complex numbers differentiation integration Cauchy's theorem and its consequences Laurent series and the residue theorem applications of contour integration conformal mappings and harmonic functions
A brief final chapter explains the Riemann hypothesis, the most celebrated of all the unsolved problems in mathematics, and ends with a short descriptive account of iteration, Julia sets and the Mandelbrot set. Clear and careful explanations are backed up with worked examples and more than 100 exercises, for which full solutions are provided.

What Do I Need to Know?
Complex Numbers
Prelude to Complex Analysis
Differentiation
Complex Integration
Cauchy's Theorem
Some Consequences of Cauchy's Theorem
Laurent Series and the Residue Theorem
Applications of Contour Integration
Further Topics
Conformal Mappings

Final Remarks
Solutions to Exercises
Bibliography
Index

L'auteur - John M. Howie

University of St. Andrews, UK

Caractéristiques techniques

	PAPIER
Éditeur(s)	Springer
Auteur(s)	John M. Howie
Parution	16/06/2003
Nb. de pages	256
Format	17,5 x 23,5
Couverture	Broché
Poids	450g
Intérieur	Noir et Blanc
EAN13	9781852337339
ISBN13	978-1-85233-733-9