Complex Analysis and Differential Equations

• Main Authors: Barreira, Luis (Author), Valls, Claudia (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: London : Springer London, 2012.
• Series: Springer Undergraduate Mathematics Series,
• Subjects: Mathematics.; Fourier analysis.; Functions of complex variables.; Differential equations.; Partial differential equations.; Sequences (Mathematics).; Fourier Analysis.; Functions of a Complex Variable.; Ordinary Differential Equations.; Partial Differential Equations.; Sequences, Series, Summability.

This text provides an accessible, self-contained and rigorous introduction to complex analysis and differential equations. Topics covered include holomorphic functions, Fourier series, ordinary and partial differential equations. The text is divided into two parts: part one focuses on complex analys...

Table of Contents:

• Part 1 Complex Analysis.- Basic Notions
• Holomorphic Functions
• Sequences and Series
• Analytic Functions
• Part 2 Differential Equations.- Ordinary Differential Equations
• Solving Differential Equations
• Fourier Series
• Partial Differential Equations .