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An Introduction to Complex Analysis

E-BookPDF1 - PDF WatermarkE-Book
331 Seiten
Englisch
Springer New Yorkerschienen am01.07.20112011
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.mehr
Verfügbare Formate
BuchGebunden
EUR68,49
BuchKartoniert, Paperback
EUR64,15
E-BookPDF1 - PDF WatermarkE-Book
EUR64,19

Produkt

KlappentextThis 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.
Details
Weitere ISBN/GTIN9781461401957
ProduktartE-Book
EinbandartE-Book
FormatPDF
Format Hinweis1 - PDF Watermark
FormatE107
Erscheinungsjahr2011
Erscheinungsdatum01.07.2011
Auflage2011
Seiten331 Seiten
SpracheEnglisch
IllustrationenXIV, 331 p.
Artikel-Nr.3029329
Rubriken
Genre9200

Inhalt/Kritik

Inhaltsverzeichnis
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.mehr

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