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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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