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Complex analysis

By: Marshall, Donald E
Language: English Publisher: United Kingdom -- CUP -- 2019Description: xvi, 272pISBN: 9781107134829Subject(s): Analysis | Functions of complex variables | Functions of complex variables Textbooks | Mathematical analysisDDC classification: 515.9 MAR/C Summary: Complex Analysis The cover of this book shows two conformal maps that reveal the beautiful potential of complex analysis. Illustrated in full color and written for students of a breadth of disciplines, the clear and thorough writing style in this book explores and demystifies one of the most elegant branches of mathematical analysis. Based on a popular course and covering up-to-date theory, this book covers a one-year graduate level introduction to complex analysis, as well as touching upon topics not seen in competing titles.
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*Analytic functions

*The maximum principle

*Integration and approximation

*Cauchy's theorem

*Elementary maps

*Harmonic functions

*Conformal maps and harmonic functions

*Calculus of residues

*Normal families

*Series and products

*Conformal maps to Jordan regions

*The Dirichlet problem

*Riemann surfaces

*The uniformization theorem

*Meromorphic functions on a Riemann surface

Complex Analysis The cover of this book shows two conformal maps that reveal the beautiful potential of complex analysis. Illustrated in full color and written for students of a breadth of disciplines, the clear and thorough writing style in this book explores and demystifies one of the most elegant branches of mathematical analysis. Based on a popular course and covering up-to-date theory, this book covers a one-year graduate level introduction to complex analysis, as well as touching upon topics not seen in competing titles.

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