Complex analysis can be a difficult subject and many introductory texts are just too ambitious for today’s students. This book takes a lower starting point than is traditional and concentrates on explaining the key ideas through worked examples and informal explanations, rather than through "dry" theory.
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From the reviews: Howie's book is a gem. I want to use it the next time I teach complex analysis. Not only do Howie's selection of topics and their sequence correspond perfectly to what I believe to be the ideal approach to this gorgeous subject, the writing style is (again) wonderful...I think this is a terrific book. I'm going to use it the first chance I get. And I recommend it very, very highly. MAA Online Howie has written an outstanding book on complex variables...The readability of the book is improved by more than 80 figures and numerous examples. Also included are 140 exercises with complete solutions in an appendix. All this makes the book ideal for self-study. Summing up: Highly recommended. CHOICE "This book provides a self-study text for students in mathematics, science and engineering. It covers all the topics likely to feature in a first course in complex analysis up to Laurent series, the residue theorem and conformal mappings. … Many carefully worked examples and more than 100 exercises with solutions make the book a valuable contribution to the extensive literature on complex analysis." (F.Haslinger, Monatshefte für Mathematik, Vol. 143 (2), 2004) "This is a superbly well-written, balanced introduction to complex analysis that will meet the needs of a wide range of undergraduates. … Here, page after page, I found myself nodding in agreement with the choices that the author has made ... . ‘Of all the many introductions to complex analysis, Howie’s is arguably the most attractive’." (Nick Lord, The Mathematical Gazette, Vol. 88 (512), 2004) "This book takes account of the varying needs and backgrounds and provides a self-study text for students in mathematics, science and engineering. ... Clear and careful explanations are backed up with worked examples and more than 100 exercises, for which full solutions are provided." (L'ENSEIGNEMENT MATHEMATIQUE, Vol. 49 (3-4), 2003) "Howie … has written an outstanding book on complex variables. … The readability of the book is improved by more than 80 figures and numerous examples. Also included are 140 exercises with complete solutions in an appendix. All this make the book ideal for self-study. Summing Up: Highly recommended." (D.P.Turner, CHOICE, December, 2003)
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Inside This Book
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First Sentence:
You should be familiar with the notations of set theory. Read the first page Key Phrases - Capitalized Phrases (CAPs): (learn more)
Proof Let, Cauchy's Theorem, Fundamental Theorem of Algebra, Jordan's Lemma, Heine-Borel Theorem, Proof Suppose, Riemann Hypothesis, Cauchy's Integral Formula, Solution Let, Verify the Cauchy-Riemann New!
Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
You should be familiar with the notations of set theory. Read the first page Key Phrases - Capitalized Phrases (CAPs): (learn more)
Proof Let, Cauchy's Theorem, Fundamental Theorem of Algebra, Jordan's Lemma, Heine-Borel Theorem, Proof Suppose, Riemann Hypothesis, Cauchy's Integral Formula, Solution Let, Verify the Cauchy-Riemann New!
Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 44
books:
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11
books
cite this book:
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- Real Analysis by John M. Howie in Front Matter, and Back Matter
- Complex Analysis by Lars Ahlfors on page 98, and Back Matter
- Real Analysis by J. A. Anderson in Front Matter, and Back Matter
- A First Course in Discrete Mathematics (Springer Undergraduate Mathematics Series) by Ian Anderson in Front Matter
- Sets, Logic and Categories (Springer Undergraduate Mathematics Series) by Peter J. Cameron in Front Matter
See all 44 books this book cites
- Matrix Groups: An Introduction to Lie Group Theory by Andrew Baker in Front Matter
- Applied Geometry for Computer Graphics and CAD (Springer Undergraduate Mathematics Series) by Duncan Marsh in Front Matter
- Real Analysis by John M. Howie in Front Matter
- A First Course in Discrete Mathematics (Springer Undergraduate Mathematics Series) by Ian Anderson in Front Matter
- Sets, Logic and Categories (Springer Undergraduate Mathematics Series) by Peter J. Cameron in Front Matter
See all 11 books citing this book
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