TY  - BOOK
AU  - Muir,Jerry R.
TI  - Complex analysis: a modern first course in function theory 
SN  - 9781118705223
U1  - 515.9 23
PY  - 2015///
CY  - New Jersey
PB  - John Wiley
KW  - Geometric function theory
KW  - Complex numbers
N1  - Includes bibliographical references and index; 1. The complex numbers --
2. Complex functions and mappings --
3. Analytic functions --
4. Cauchy's integral theory --
5. The residue theorem --
6. Harmonic functions and Fourier series --
Epilogue --
A Sets and functions --
B Topics from advanced calculus
N2  - Complex Analysis: A Modern First Course in Function Theory features a self–contained, concise development of the fundamental principles of complex analysis. After laying groundwork on complex numbers and the calculus and geometric mapping properties of functions of a complex variable, the author uses power series as a unifying theme to define and study the many rich and occasionally surprising properties of analytic functions, including the Cauchy theory and residue theorem. The book concludes with a treatment of harmonic functions and an epilogue on the Riemann mapping theorem
ER  -