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Complex Analysis (Universitext)
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- Buy it nowComplex Analysis (Universitext): Second Edition
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Item specifics
- Condition
- Release Year
- 2009
- Book Title
- Complex Analysis (Universitext): Second Edition
- ISBN
- 9783540939825
About this product
Product Identifiers
Publisher
Springer Berlin / Heidelberg
ISBN-10
3540939822
ISBN-13
9783540939825
eBay Product ID (ePID)
72345689
Product Key Features
Number of Pages
X, 532 Pages
Language
English
Publication Name
Complex Analysis
Subject
Mathematical Analysis, Complex Analysis
Publication Year
2009
Type
Textbook
Subject Area
Mathematics
Series
Universitext Ser.
Format
Trade Paperback
Dimensions
Item Weight
29.1 Oz
Item Length
9.3 in
Item Width
6.1 in
Additional Product Features
Edition Number
2
Intended Audience
Scholarly & Professional
Dewey Edition
22
Reviews
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. ... 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." (L'Enseignement Mathematique, Vol. 52 (2), 2006) "The first four chapters cover the essential core of complex analysis ... . The second part of the book is devoted to an extensive representation of the theory of elliptic functions ... . 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 für Mathematik, Vol. 149 (3), 2006) "It is, in fact, a massive introduction to complex analysis, covering a very wide range of topics. ... This is the material that I like to cover in an undergraduate course. ... Theorems and proofs are clearly delimited, which many students find helpful. ... There are problems at the end of each section, and sketches of solutions are given ... . Overall, this is quite an attractive book." (Fernando Q. Gouvêa, MathDL, February, 2006) From the reviews of the second edition: "This introduction to complex analysis is fairly special, and ... unique within the existing related textbook literature. ... The authors present, apart from the standard material, a wide range of topics that are usually not covered by introductory texts ... . No doubt, this excellent, comprehensive, and nearly self-contained textbook on complex analysis deserves a wide international audience of readers, who will profit a great deal from studying it." (Werner Kleinert, Zentralblatt MATH, Vol. 1167, 2009), 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. ... 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." (L'Enseignement Mathematique, Vol. 52 (2), 2006) "The first four chapters cover the essential core of complex analysis ... . The second part of the book is devoted to an extensive representation of the theory of elliptic functions ... . 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 für Mathematik, Vol. 149 (3), 2006) "It is, in fact, a massive introduction to complex analysis, covering a very wide range of topics. ... This is the material that I like to cover in an undergraduate course. ... Theorems and proofs are clearly delimited, which many students find helpful. ... There are problems at the end of each section, and sketches of solutions are given ... . Overall, this is quite an attractive book." (Fernando Q. Gouvêa, MathDL, February, 2006) From the reviews of the second edition: "This introduction to complex analysis is fairly special, and ... unique within the existing related textbook literature. ... The authors present, apart from the standard material, a wide range of topics that are usually not covered by introductory texts ... . No doubt, this excellent, comprehensive, and nearly self-contained textbook on complex analysis deserves a wide international audience of readers, who willprofit a great deal from studying it." (Werner Kleinert, Zentralblatt MATH, Vol. 1167, 2009), 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. … 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." (L'Enseignement Mathematique, Vol. 52 (2), 2006)"The first four chapters cover the essential core of complex analysis … . The second part of the book is devoted to an extensive representation of the theory of elliptic functions … . 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 für Mathematik, Vol. 149 (3), 2006)"It is, in fact, a massive introduction to complex analysis, covering a very wide range of topics. … This is the material that I like to cover in an undergraduate course. … Theorems and proofs are clearly delimited, which many students find helpful. … There are problems at the end of each section, and sketches of solutions are given … . Overall, this is quite an attractive book." (Fernando Q. Gouvêa, MathDL, February, 2006)From the reviews of the second edition:"This introduction to complex analysis is fairly special, and … unique within the existing related textbook literature. … The authors present, apart from the standard material, a wide range of topics that are usually not covered by introductory texts … . No doubt, this excellent, comprehensive, and nearly self-contained textbook on complex analysis deserves a wide international audience of readers, who will profit a great deal from studying it." (Werner Kleinert, Zentralblatt MATH, Vol. 1167, 2009)
Number of Volumes
1 vol.
Illustrated
Yes
Dewey Decimal
515.9
Table Of Content
Differential Calculus in the Complex Plane C.- Integral Calculus in the Complex Plane C.- Sequences and Series of Analytic Functions, the Residue Theorem.- Construction of Analytic Functions.- Elliptic Functions.- Elliptic Modular Forms.- Analytic Number Theory.- Solutions to the Exercises.
Synopsis
All needed notions are developed within the book: with the exception of fundamentals which are presented in introductory lectures, no other knowledge is assumed Provides a more in-depth introduction to the subject than other existing books in this area Over 400 exercises including hints for solutions are included, This book offers an extensive description of the classical complex analysis, roughly meaning that sheaf theoretical and cohomological methods are omitted. Over 400 exercises are included, and the text has been heavily revised for this new edition., th The complex numbers have their historical origin in the 16 century when they were created during attempts to solvealgebraic equations.G.Cardano ? (1545) has already introduced formal expressionsas for instance 5± ?15, in order to express solutions of quadratic and cubic equations. Around 1560R. Bombelli computed systematically using such expressions and found 4 as a 3 solution of the equationx =15x+4 in the disguised form ? ? 3 3 4= 2+ ?121+ 2? ?121. Also in the work ofG.W.Leibniz (1675) one can ?nd equations of this kind, e.g. ? ? ? 1+ ?3+ 1? ?3= 6. ? Intheyear1777L.Eulerintroducedthenotationi = ?1fortheimaginary unit. The terminology "complex number" is due toC.F.Gauss (1831). The r- orous introduction of complex numbers as pairs of real numbers goes back to W.R.Hamilton (1837). Sometimes it is already advantageous to introduce and make use of complex numbers in real analysis. One should for example think of the integration of rational functions, which is based on the partial fraction decomposition, and therefore on the Fundamental Theorem of Algebra: Over the ?eld of complex numbers any polynomial decomposes as a product of linear factors. AnotherexampleforthefruitfuluseofcomplexnumbersisrelatedtoFourier series.FollowingEuler(1748)onecancombinetherealangularfunctionssine and cosine, and obtain the "exponential function" ix e := cosx+isinx., This indispensable book provides an extensive description of classical complex analysis. The authors begin with an introduction to complex analysis that presents the fundamental results, followed by elliptic functions and elliptic modular functions. The book is rounded by excursions to analytic number theory. Great importance is attached to completeness in the sense that all needed notions are developed. More than 400 exercises with hints for solutions are included.
LC Classification Number
QA299.6-433
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- h***0 (3)- Feedback left by buyer.Past monthVerified purchaseI’m very satisfied with my purchase. Although it did arrive a few days late, it was definitely worth $18 for a densely packed, 1000 paged textbook with lots and lots of questions to reinforce your understanding. In terms of the seller and the condition of the book, the seller was very truthful in their description, and marked the book as “acceptable”. I’ve only explored a fraction of the book, and as far as I’m concerned, the majority is “good”. I’m very happy, it looks great, great quality.
- n***k (27)- Feedback left by buyer.Past 6 monthsVerified purchaseItem was as described in listing, safe secure packaging. The item was decently priced. shipping was a little longer than it was supposed to be, it came 5 days late.Room for Rent: A Thriller (#286461551665)
- 4***l (182)- Feedback left by buyer.Past 6 monthsVerified purchaseWow! I received the book I purchased in record time! It arrived in better than expected condition (was listed as Acceptable, but I would call it New). Was packaged securely for mailing. The price was the best I had seen and I couldn't be happier that I decided to buy it. I would definitely buy from this seller again, and would recommend them to others, as well. Thank you, seller!
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Goodwill of Silicon Valley Books
98.5% positive Feedback•579K items sold
Registered as a business seller
Seller Feedback (196,299)
- h***0 (3)- Feedback left by buyer.Past monthVerified purchaseI’m very satisfied with my purchase. Although it did arrive a few days late, it was definitely worth $18 for a densely packed, 1000 paged textbook with lots and lots of questions to reinforce your understanding. In terms of the seller and the condition of the book, the seller was very truthful in their description, and marked the book as “acceptable”. I’ve only explored a fraction of the book, and as far as I’m concerned, the majority is “good”. I’m very happy, it looks great, great quality.
- n***k (27)- Feedback left by buyer.Past 6 monthsVerified purchaseItem was as described in listing, safe secure packaging. The item was decently priced. shipping was a little longer than it was supposed to be, it came 5 days late.Room for Rent: A Thriller (#286461551665)
- 4***l (182)- Feedback left by buyer.Past 6 monthsVerified purchaseWow! I received the book I purchased in record time! It arrived in better than expected condition (was listed as Acceptable, but I would call it New). Was packaged securely for mailing. The price was the best I had seen and I couldn't be happier that I decided to buy it. I would definitely buy from this seller again, and would recommend them to others, as well. Thank you, seller!