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  2. Regning og matematisk analyse
  3. Kompleks analyse, komplekse variabler

Complex Analysis

Af: Taras Mel'nyk Engelsk Hardback

Complex Analysis

Af: Taras Mel'nyk Engelsk Hardback
Tjek vores konkurrenters priser
Today, the theory of complex-valued functions finds widespread applications in various areas of mathematical research, as well as in electrical and mechanical engineering, aeronautics, and other disciplines. Complex analysis has become a basic course in mathematics, physics, and select engineering departments. This concise textbook provides a thorough introduction to the function theory of one complex variable. It presents the fundamental concepts with clarity and rigor, offering concise proofs that avoid lengthy and tedious arguments commonly found in mathematics textbooks. It goes beyond traditional texts by exploring less common topics, including the different approaches to constructing analytic functions, the conformal mapping criterion, integration of analytic functions along arbitrary curves, global analytic functions and their Riemann surfaces, the general inverse function theorem, the Lagrange–Bürmann formula, and Puiseux series. Drawing from several decades of teaching experience, this book is ideally suited for one or two semester courses in complex analysis. It also serves as a valuable companion for courses in topology, approximation theory, asymptotic analysis, and functional analysis. Abundant examples and exercises make it suitable for self-study as well.
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Tjek vores konkurrenters priser
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Tjek vores konkurrenters priser
Today, the theory of complex-valued functions finds widespread applications in various areas of mathematical research, as well as in electrical and mechanical engineering, aeronautics, and other disciplines. Complex analysis has become a basic course in mathematics, physics, and select engineering departments. This concise textbook provides a thorough introduction to the function theory of one complex variable. It presents the fundamental concepts with clarity and rigor, offering concise proofs that avoid lengthy and tedious arguments commonly found in mathematics textbooks. It goes beyond traditional texts by exploring less common topics, including the different approaches to constructing analytic functions, the conformal mapping criterion, integration of analytic functions along arbitrary curves, global analytic functions and their Riemann surfaces, the general inverse function theorem, the Lagrange–Bürmann formula, and Puiseux series. Drawing from several decades of teaching experience, this book is ideally suited for one or two semester courses in complex analysis. It also serves as a valuable companion for courses in topology, approximation theory, asymptotic analysis, and functional analysis. Abundant examples and exercises make it suitable for self-study as well.
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Se mere i:
Produktdetaljer
Sprog: Engelsk
Sider: 244
ISBN-13: 9783031396144
Indbinding: Hardback
Udgave:
ISBN-10: 3031396146
Kategori: Kompleks analyse, komplekse variabler
Udg. Dato: 6 okt 2023
Længde: 0mm
Bredde: 155mm
Højde: 235mm
Forlag: Springer International Publishing AG
Oplagsdato: 6 okt 2023
Forfatter(e): Taras Mel'nyk
Forfatter(e) Taras Mel'nyk

Kategori Kompleks analyse, komplekse variabler

ISBN-13 9783031396144

Sprog Engelsk

Indbinding Hardback

Sider 244

Udgave

Længde 0mm

Bredde 155mm

Højde 235mm

Udg. Dato 6 okt 2023

Oplagsdato 6 okt 2023

Forlag Springer International Publishing AG

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