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Complex Analysis Paperback – Jul 17 2003
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From the reviews: "More than 800 well-chosen exercises with 20 pages of hints and solutions, together with clear and concise expositions of many results, makes this book enjoyable even for specialists in the field. The book is recommended for libraries, students, and teachers of both undergraduate and graduate courses."Newsletter of the EMS, Issue 42, December 2001 "This is a wonderful book about the fundamentals of complex analysis. It touches all essential parts of complex function theory, and very often goes deeper into the subject than most elementary texts. a ] I find the pace, style and didactics in the presentation perfect. a ] All in all, this is one of the best if not the best book on the elementary theory of complex functions, and it can serve as a textbook as well as a reference book." (V. Totik, Mathematical Reviews, Issue 2002 h) "This is a well organized textbook on complex analysis a ] . Each part of the book contains some interesting exercises which give many new insights into further developments and enhance the usefulness of the book. At the end of the book there are hints and solutions for selected exercises." (F. Haslinger, Internationale Mathematische Nachrichten, Vol. 56 (191), 2002) "As the book begins with the rudiments of the subject and goes upto an advanced level, it will be equally useful to the undergraduates and to students at the pre Ph. D. level. The numerous applications to Physics found in the book redound to its value in the hands of students of Mathematics, Physics and Engineering alike." (K. S. Padmanabhan, Journal of the Indian Academy of Mathematics, Vol. 24 (1), 2002) "This is a beautiful book which provides a very goodintroduction to complex analysis for students with some familiarity with complex numbers. a ] The book is clearly written, with rigorous proofs, in a pleasant and accessible style. It is warmly recommended to students and all researchers in complex analysis." (Gabriela Kohr, The Mathematical Gazette, Vol. 86 (506), 2002) "The author of this fine textbook is a prominent function theorist. He leads the reader in a careful but far-sighted way from the elements of complex analysis to advanced topics in function theory and at some points to topics of modern research. a ] We found, however, that a special feature of the book is the wealth of exercises at the end of each section a ] . Altogether, the author has given us a wonderful textbook for use in classroom and in seminars." (Dieter Gaier, Zentralblatt MATH, Vol. 978, 2002) "The author wishes to provide beginners with standard material in a rather flexible course. a ] The preface contains useful hints for both instructors and students. More than 800 well-chosen exercises with 20 pages of hints and solutions, together with clear and concise expositions of many results, make this book enjoyable even for specialists in the field. The book is recommended for libraries, students, and teachers of both undergraduate and graduate courses." (Acta Scientiarum Mathematicarum, Vol. 68, 2002) "This book has the somewhat unusual aim of providing a primer in complex analysis at three different levels - a basic undergraduate introduction, a course for those who have decided to specialise as part of their first degree and a more demanding treatment of postgraduate topics. a ] I can certainly recommend this book to all those who wish to experience(in the authora (TM)s own words) the a ~fascinating and wonderful worlda (TM) of complex analysis, a ~filled with broad avenues and narrow backstreets leading to intellectual excitement.a (TM)" (Gerry Leversha, European Mathematical Society Newsletter, Issue 42, December 2001)
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Top Customer Reviews
In general, the author successfully conveys the spirit of the subject, and manages to do so quite efficiently. It's not the most painstakingly rigorous text out there, and the reader is expected to fill in some of the details himself, but the payoff is that a lot of ground is covered without getting bogged down in technicalities. In many books on this subject it can be tough to see the forest for the trees. This one is a pleasant exception.
There are a lot of good complex analysis books out there: Conway, Ahlfors, Remmert, Palka, Narasimhan, the second half of big Rudin, and of course Needham's "Visual Complex Analysis." (And many others that are well-regarded but that I have not looked at, such as Lang and Jones/Singerman, as well as the old classics by Hille, Knopp, Cartan, Saks and Zygmund.) Every one of these has its own perspective, and complex analysis is a big, multifaceted subject that is perhaps best studied from multiple points of view. Anyone wanting to learn this subject well will benefit from having several books at hand.
Gamelin's contribution to the pantheon is not revolutionary, but it does collect between its pages a wide assortment of topics not generally found in a single text. The reader is whisked from the basics to the Riemann mapping theorem in 300 pages with surprising ease.Read more ›
The exercises are really helpful and there is a nice variety of problems. The good part is that there are partial hints to problems in the back. With the hints and the answers, one feels that one is heading in the right direction.
I would definitely recommend it.
I used this book as a companion to Teddy G's course, and it was grreat. Excellent for PHD-level qualifying exams (especially at UCLA).
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