Sinopsis
The idea of this book is to give an extensive description of the classical complex analysis, here ''classical'' means roughly that sheaf theoretical and cohomological methods are omitted. The first four chapters cover the essential core of complex analysis presenting their fundamental results. After this standard material, the authors step forward to elliptic functions and to elliptic modular functions including a taste of all most beautiful results of this field. The book is rounded by applications to analytic number theory including distinguished pearls of this fascinating subject as for instance the Prime Number Theorem. Great importance is attached to completeness, all needed notions are developed, only minimal prerequisites (elementary facts of calculus and algebra) are required. More than 400 exercises including hints for solutions and many figures make this an attractive, indispensable book for students who would like to have a sound introduction to classical complex analysis.
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Críticas
From the reviews: "The guiding principle of the presentation of classical complex analysis is to proceed as quickly as possible to the central results while using a small number of notions and concepts from other fields. Thus the prerequisites for understanding this book are minimal; only elementary facts of calculus and algebra are required. a ] Motivating introductions, more than four hundred exercises of all levels of difficulty with hints or solutions, historical annotations, and over 120 figures make the overall presentation very attractive." (La (TM)Enseignement Mathematique, Vol. 52 (2), 2006) "The first four chapters cover the essential core of complex analysis a ] . The second part of the book is devoted to an extensive representation of the theory of elliptic functions a ] . Interesting introductions, over four hundred exercises with hints or solutions, historical remarks, and over 120 figures make this book very appropriate and attractive for students at all levels." (F. Haslinger, Monatshefte fA1/4r Mathematik, Vol. 149 (3), 2006) "It is, in fact, a massive introduction to complex analysis, covering a very wide range of topics. a ] This is the material that I like to cover in an undergraduate course. a ] Theorems and proofs are clearly delimited, which many students find helpful. a ] There are problems at the end of each section, and sketches of solutions are given a ] . Overall, this is quite an attractive book." (Fernando Q. GouvAaa, MathDL, February, 2006)
Reseña del editor
The idea of this book is to give an extensive description of the classical complex analysis, here ''classical'' means roughly that sheaf theoretical and cohomological methods are omitted. The first four chapters cover the essential core of complex analysis presenting their fundamental results. After this standard material, the authors step forward to elliptic functions and to elliptic modular functions including a taste of all most beautiful results of this field. The book is rounded by applications to analytic number theory including distinguished pearls of this fascinating subject as for instance the Prime Number Theorem. Great importance is attached to completeness, all needed notions are developed, only minimal prerequisites (elementary facts of calculus and algebra) are required. More than 400 exercises including hints for solutions and many figures make this an attractive, indispensable book for students who would like to have a sound introduction to classical complex analysis.
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Complex Analysis
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Complex Analysis (Universitext)
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Paperback. Condición: Very Good. No Jacket. Former library book; May have limited writing in cover pages. Pages are unmarked. ~ ThriftBooks: Read More, Spend Less. Nº de ref. del artículo: G3540257241I4N10
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Complex Analysis (Universitext)
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Springer-Verlag Berlin and Heidelberg GmbH & Co. K, 2005
ISBN 10: 3540257241
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Condición: Good. This is an ex-library book and may have the usual library/used-book markings inside.This book has soft covers. Clean from markings. In good all round condition. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,850grams, ISBN:9783540257240. Nº de ref. del artículo: 9832592
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Complex Analysis.
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Softcover. Condición: Sehr gut. Bln., Springer (2005). Some figs. X, 547 p. Pbck Universitext.- With exercises and solutions.- Incl. bibliography.- Name on flyleaf and on title, otherwise in very good condition. Nº de ref. del artículo: 69538
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