This is an ex-library book and may have the usual library/used-book markings inside.This book has hardback covers. Clean from markings. In fair condition, suitable as a study copy. Re-bound by library. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,400grams, ISBN:0412097109.

Bestandsnummer des Verk�ufers 8971451

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Bibliografische Details

Titel

A First Course on Complex Functions

Verlag

Chapman & Hall

Erscheinungsjahr

1970

Sprache

Englisch

ISBN-10

0412097109

ISBN-13

9780412097102

Einband

Hardcover

Zustand

Fair

Verk�uferkataloge

Mathematics

�ber diesen Titel

Inhaltsangabe

This book should be of interest to undergraduates taking courses on complex functions.

Rese�a del editor

This book contains a rigorous coverage of those topics (and only those topics) that, in the author's judgement, are suitable for inclusion in a first course on Complex Functions. Roughly speaking, these can be summarized as being the things that can be done with Cauchy's integral formula and the residue theorem. On the theoretical side, this includes the basic core of the theory of differentiable complex functions, a theory which is unsurpassed in Mathematics for its cohesion, elegance and wealth of surprises. On the practical side, it includes the computational applications of the residue theorem. Some prominence is given to the latter, because for the more sceptical student they provide the justification for inventing the complex numbers. Analytic continuation and Riemann surfaces form an essentially different chapter of Complex Analysis. A proper treatment is far too sophisticated for a first course, and they are therefore excluded. The aim has been to produce the simplest possible rigorous treatment of the topics discussed. For the programme outlined above, it is quite sufficient to prove Cauchy'S integral theorem for paths in star-shaped open sets, so this is done. No form of the Jordan curve theorem is used anywhere in the book.

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