12/09/2011

Introduction to Complex Analysis Review

Introduction to Complex Analysis
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The existing reviews refer to the 1st edition of this book, which I agree was a difficult read, though still accessible to undergraduates. The new book has been revised substantially to make it more readable, with a much more leisurely introduction and better partitioning of tougher material (which can be omitted by those such as physicists and engineers who require only a working knowledge of the subject). If anything I feel the result is too dumbed down; Priestley is loathe even to make use of such basic tools from real analysis as uniform convergence. Nevertheless, the second half of the book is more adventurous, making the totality a guide for an excellent undergrad class, such as the Oxford one on which the book was based. Beware: there is a large number of typos, which one must hope will be corrected in subsequent printings. Usually it will not be too challenging to circumnavigate these.

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Complex analysis is a classic and central area of mathematics, which is studies and exploited in a range of important fields, from number theory to engineering. Introduction to Complex Analysis was first published in 1985, and for this much-awaited second edition the text has been considerably expanded, while retaining the style of the original.More detailed presentation is given of elementary topics, to reflect the knowledge base of current students. Exercise sets have been substantially revised and enlarged, with carefully graded exercises at the end of each chapter.

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