TY  - BOOK
AU  - 
AU  - 
ED  - SpringerLink (Online service)
TI  - Complex Analysis and Differential Equations
T2  - Springer Undergraduate Mathematics Series,
SN  - 9781447140085
AV  - QA403.5-404.5 
U1  - 515.2433 23
PY  - 2012///
CY  - London
PB  - Springer London
KW  - Mathematics
KW  - Fourier analysis
KW  - Functions of complex variables
KW  - Differential Equations
KW  - Differential equations, partial
KW  - Sequences (Mathematics)
KW  - Fourier Analysis
KW  - Functions of a Complex Variable
KW  - Ordinary Differential Equations
KW  - Partial Differential Equations
KW  - Sequences, Series, Summability
N1  - 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; ZDB-2-SMA
N2  - 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 analysis and part two on differential equations. Each part can be read independently, so in essence this text offers two books in one. In the second part of the book, some emphasis is given to the application of complex analysis to differential equations. Half of the book consists of approximately 200 worked out problems, carefully prepared for each part of theory, plus 200 exercises of variable levels of difficulty. Tailored to any course giving the first introduction to complex analysis or differential equations, this text assumes only a basic knowledge of linear algebra and differential and integral calculus. Moreover, the large number of examples, worked out problems and exercises makes this the ideal book for independent study
UR  - http://dx.doi.org/10.1007/978-1-4471-4008-5
ER  -