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lecture notes for complex analysis by frank neubrander [pdf]

Lecture Notes for Complex Analysis by Frank Neubrander

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Lecture Notes for Complex Analysis written by Frank Neubrander .
This text consist basic topics Cauchy’s Theorem, Cauchy’s Integral Formula, Complex Numbers, Analytic Functions, The Complex Exponential, The Cauchy-Riemann Theorem, Cauchy’s Theorem for Chains.

Book Detail :-
Title: Lecture Notes for Complex Analysis
Edition:
Author(s): Frank Neubrander
Publisher:
Series:
Year: 2013
Pages: 32
Type: PDF
Language: English
ISBN:
Country: US
Get from Amazon :

About Author :-
Author Frank Neubrander , Professor of Mathematics, Louisiana State University and Executive Director and Chair of the Gordon A. Cain Center for STEM Literacy at Louisiana State University, Baton Rouge, Louisiana, US. His area of research work is laplace transforms and mathematical analysis.

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Lecture Notes for Complex Analysis written by Frank Neubrander cover the following topics.
1. THE BASICS
The Field of Complex Numbers, Analytic Functions, The Complex Exponential, The Cauchy-Riemann Theorem, Contour Integrals
2. THE WORKS
Antiderivatives, Cauchy’s Theorem, Cauchy’s Integral Formula, Cauchy’s Theorem for Chains, Principles of Linear Analysis, Cauchy’s Theorem for Vector-Valued Analytic Functions, Power Series, Resolvents and the Dunford Functional Calculus, The Maximum Principle, Laurent’s Series and Isolated Singularities, Residue Calculus
3. THE BENEFITS
Norm-Continuous Semigroups, Laplace Transforms, Strongly Continuous Semigroups, Tauberian Theorems, The Prime Number Theorem, Asymptotic Analysis and Formal Power Series, Asymptotic Laplace Transforms, Convolution, Operational Calculus and Generalized Functions


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