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Eine Einführung in die komplexe Analyse von Ravi P. Agarwal (englisch) Hardcover-Buch
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Artikelmerkmale
- Artikelzustand
- ISBN-13
- 9781461401940
- Book Title
- An Introduction to Complex Analysis
- ISBN
- 9781461401940
Über dieses Produkt
Product Identifiers
Publisher
Springer
ISBN-10
1461401941
ISBN-13
9781461401940
eBay Product ID (ePID)
109050239
Product Key Features
Number of Pages
Xiv, 331 Pages
Publication Name
Introduction to Complex Analysis
Language
English
Publication Year
2011
Subject
Complex Analysis, Mathematical Analysis
Type
Textbook
Subject Area
Mathematics
Format
Hardcover
Dimensions
Item Weight
51.9 Oz
Item Length
9.3 in
Item Width
6.1 in
Additional Product Features
Intended Audience
Scholarly & Professional
LCCN
2011-931536
Reviews
From the reviews:This work, directed toward majors in the applied sciences, is presented as a series of 50 lectures on standard topics in introductory complex analysis. Agarwal and Perera (both, Florida Institute of Technology) and Pinelas (Azores Univ., Portugal) have organized each lecture/chapter around certain theorems and their proofs and accompany each with a problem set and solutions. … Summing Up: Recommended. Upper-division undergraduates and graduate students. (D. Robbins, Choice, Vol. 49 (5), January, 2012), From the reviews: "This work, directed toward majors in the applied sciences, is presented as a series of 50 lectures on standard topics in introductory complex analysis. Agarwal and Perera (both, Florida Institute of Technology) and Pinelas (Azores Univ., Portugal) have organized each lecture/chapter around certain theorems and their proofs and accompany each with a problem set and solutions. ... Summing Up: Recommended. Upper-division undergraduates and graduate students." (D. Robbins, Choice, Vol. 49 (5), January, 2012) "This volume provides a compact and thorough introduction to complex analysis. The text takes account of varying needs and backgrounds and provides a self-study text for students in mathematics, science and engineering. ... This concise text not only provides efficient proofs but also shows students how to derive them. The excellent exercises are accompanied by selected solutions. ... The exposition is clear, concise, and lively. The book is mainly addressed to undergraduate and graduate students interested in complex analysis." (Teodora-Liliana Rdulescu, Zentralblatt MATH, Vol. 1230, 2012) "It consists of 50 'class-tested lectures' in which the subject matter has been organized in the form of theorems, proofs and examples. Most of the lectures are ... followed by graded exercises that go from the routine to the richly informative. Solutions and hints are provided for nearly all of these, which means that the book is highly suited for self-tuition purposes. ... it is also suited to the needs of non-specialists, such as those concerned with the applied sciences." (P. N. Ruane, The Mathematical Association of America, October, 2011), From the reviews:This work, directed toward majors in the applied sciences, is presented as a series of 50 lectures on standard topics in introductory complex analysis. Agarwal and Perera (both, Florida Institute of Technology) and Pinelas (Azores Univ., Portugal) have organized each lecture/chapter around certain theorems and their proofs and accompany each with a problem set and solutions. … Summing Up: Recommended. Upper-division undergraduates and graduate students. (D. Robbins, Choice, Vol. 49 (5), January, 2012)This volume provides a compact and thorough introduction to complex analysis. The text takes account of varying needs and backgrounds and provides a self-study text for students in mathematics, science and engineering. … This concise text not only provides efficient proofs but also shows students how to derive them. The excellent exercises are accompanied by selected solutions. … The exposition is clear, concise, and lively. The book is mainly addressed to undergraduate and graduate students interested in complex analysis. (Teodora-Liliana Rdulescu, Zentralblatt MATH, Vol. 1230, 2012), From the reviews: "This work, directed toward majors in the applied sciences, is presented as a series of 50 lectures on standard topics in introductory complex analysis. Agarwal and Perera (both, Florida Institute of Technology) and Pinelas (Azores Univ., Portugal) have organized each lecture/chapter around certain theorems and their proofs and accompany each with a problem set and solutions. ... Summing Up: Recommended. Upper-division undergraduates and graduate students." (D. Robbins, Choice, Vol. 49 (5), January, 2012) "This volume provides a compact and thorough introduction to complex analysis. The text takes account of varying needs and backgrounds and provides a self-study text for students in mathematics, science and engineering. ... This concise text not only provides efficient proofs but also shows students how to derive them. The excellent exercises are accompanied by selected solutions. ... The exposition is clear, concise, and lively. The book is mainly addressed to undergraduate and graduate students interested in complex analysis." (Teodora-Liliana Radulescu, Zentralblatt MATH, Vol. 1230, 2012) "It consists of 50 'class-tested lectures' in which the subject matter has been organized in the form of theorems, proofs and examples. Most of the lectures are ... followed by graded exercises that go from the routine to the richly informative. Solutions and hints are provided for nearly all of these, which means that the book is highly suited for self-tuition purposes. ... it is also suited to the needs of non-specialists, such as those concerned with the applied sciences." (P. N. Ruane, The Mathematical Association of America, October, 2011)
Dewey Edition
23
TitleLeading
An
Number of Volumes
1 vol.
Illustrated
Yes
Dewey Decimal
515.9
Table Of Content
Preface.-Complex Numbers.-Complex Numbers II .- Complex Numbers III.-Set Theory in the Complex Plane.-Complex Functions.-Analytic Functions I.-Analytic Functions II.-Elementary Functions I.- Elementary Functions II.- Mappings by Functions.- Mappings by Functions II.- Curves, Contours, and Simply Connected Domains.- Complex Integration.- Independence of Path.- Cauchy-Goursat Theorem.- Deformation Theorem.- Cauchy's Integral Formula.- Cauchy's Integral Formula for Derivatives.- Fundamental Theorem of Algebra.- Maximum Modulus Principle.- Sequences and Series of Numbers.- Sequences and Series of Functions.- Power Series.- Taylor's Series.- Laurent's Series.- Zeros of Analytic Functions.- Analytic Continuation.- Symmetry and Reflection.- Singularities and Poles I.- Singularities and Poles II.- Cauchy's Residue Theorem.- Evaluation of Real Integrals by Contour Integration I.- Evaluation of Real Integrals by Contour Integration II.- Indented Contour Integrals.- Contour Integrals Involving Multi-valued Functions .- Summation of Series. Argument Principle and Rouch´e and Hurwitz Theorems.- Behavior of Analytic Mappings.- Conformal Mappings.- Harmonic Functions.- The Schwarz-Christoffel Transformation.- Infinite Products.- Weierstrass's Factorization Theorem.- Mittag-Leffler's Theorem.- Periodic Functions.- The Riemann Zeta Function.- Bieberbach's Conjecture.- The Riemann Surface.- Julia and Mandelbrot Sets.- History of Complex Numbers.- References for Further Reading.- Index.
Synopsis
This textbook introduces the subject of complex analysis to advanced undergraduate and graduate students in a clear and concise manner. Key features of this textbook: effectively organizes the subject into easily manageable sections in the form of 50 class-tested lectures, uses detailed examples to drive the presentation, includes numerous exercise sets that encourage pursuing extensions of the material, each with an "Answers or Hints" section, covers an array of advanced topics which allow for flexibility in developing the subject beyond the basics, provides a concise history of complex numbers. An Introduction to Complex Analysis will be valuable to students in mathematics, engineering and other applied sciences. Prerequisites include a course in calculus., This senior undergraduate/graduate level textbook has been designed for an introductory course in complex analysis for students in the applied sciences. It follows the proof-theorem approach while presenting the material as 50 class-tested lectures.
LC Classification Number
QA331.7
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grandeagleretail
98,3% positive Bewertungen•2.8 Mio. Artikel verkauft
Angemeldet als gewerblicher Verkäufer
Verkäuferbewertungen (1'055'590)
- m***k (125)- Bewertung vom Käufer.Letzter MonatBestätigter KaufLove the book. I'm a big Flash Gordon fan and have the previous Alex Raymond books. I was out of town the day it was delivered and left on my front porch. Enter a big rain storm. I pulled into my garage, ran to my front door and took the package in. The cardboard envelope was wet, but thankfully the book was not harmed. Suggest books should be mailed in waterproof plastic. Thanks for reading. Mike Korcek
- o***r (3518)- Bewertung vom Käufer.Letzter MonatBestätigter KaufWell packaged and quickly shipped. Buy/bid with confidence.
- c***t (128)- Bewertung vom Käufer.Letzter MonatBestätigter KaufA++ seller. Bible was brand new