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Title: Basic Complex Analysis by Jerrold E. Marsden, Michael J. Hoffman ISBN: 0-7167-2877-X Publisher: W.H. Freeman & Company Pub. Date: 01 November, 1999 Format: Hardcover Volumes: 1 List Price(USD): $118.75 |
Average Customer Rating: 3.75 (12 reviews)
Rating: 3
Summary: Quite Dry
Comment: This is the second book that I have read beside the Vector Calculus by Marsden and Hoffman. This book rushes you through with an introductory chapter and go right into the heart of complex analysis. The author assumes you to have a great professors that can explain things in detail when you can't quite understand what is written in the text. Unfortunately I did not have a great instructor.
The examples of the book are quite simple, compare to some end of section problems.
Overall this book has no surprises as it is quite dry, got bored from reading it. If it was not a required text book for a 3rd year complex analysis course, i wouldn't recommend it to anyone. There are many other books out there that are better written.
Rating: 5
Summary: A versatile introduction to the subject.
Comment: I used an earlier edition of this text as an instructor 20 years ago. The students in my class at the time were equally divided among the fields of mathematics, physics, and engineering. The book proved to be quite useful for all of them. Marsden skillfully strikes a balance between the needs of math majors preparing for graduate study and the needs of physics and engineering students seeking applications of complex analysis.
The book is clearly written and well-organized, with plenty of examples and exercises. My only significant criticism of the first edition was the author's tendency to label many examples of contour integration as theorems. Technically, there is nothing wrong this, but I found that some of my students tended to memorize the statements of these "theorems" rather than focus on the methods of integration discussed (for example, "Pac-Man" integrals with branch cuts along rays other than the positive real axis). Nonetheless, this is a fine text that has--not surprisingly--continued to be widely used for over two decades.
Rating: 3
Summary: Mediocre Textbook!
Comment: Complex analysis is a simple subject to teach and to learn. There is no reason to include so many pages, still couldn't comprehensively cover all the salient points. Mediocre students taught by mediocre teachers will by all means find this book "excellent" in their own right! I disagree with both one-star and five-star rating. I did find my students confused by this book and its "answers". It is not student-friendly at it worst. I will never use this book as my textbook again despite my distaste of its price tag. Unfortunately, the math level of US college students is persistently sliding down. The level of reviewing this book as well as many others are also disappointingly low. For US community college complex analysis course, this book can be rated for five stars. But, for major universities such as U. C. Berkeley, MIT and Caltech, this book deserves a three-star rating fairly. After all, there are good US universities ranked high in math level among the world.
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Title: Elementary Theory of Analytic Functions of One or Several Complex Variables by Henri Cartan ISBN: 0486685438 Publisher: Dover Publications Pub. Date: 01 May, 1995 List Price(USD): $11.95 |
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Title: Schaum's Outline of Complex Variables by Murray R Spiegel ISBN: 0070602301 Publisher: McGraw-Hill Trade Pub. Date: 01 June, 1968 List Price(USD): $16.95 |
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Title: Complex Variables (Dover Books on Mathematics) by Stephen D. Fisher ISBN: 0486406792 Publisher: Dover Publications Pub. Date: 01 August, 1999 List Price(USD): $16.95 |
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Title: The Complex Variables Problem Solver (Problem Solvers) by James Ogden, Research & Education Association, Emil G. Milewski ISBN: 0878916040 Publisher: Research & Education Association Pub. Date: 01 June, 1987 List Price(USD): $30.95 |
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Title: Advanced Modern Algebra by Joseph J. Rotman ISBN: 0130878685 Publisher: Prentice Hall Pub. Date: April, 2002 List Price(USD): $101.33 |
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