Complex analysis : a modern first course in function theory / Jerry R. Muir, Jr.
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TextPublication details: New Jersey : John Wiley, ©2015.Description: xii, 262 p. : illustrations ; 24 cmISBN: - 9781118705223
- 515.9 23 M953
| Item type | Current library | Call number | Status | Date due | Barcode | Item holds | |
|---|---|---|---|---|---|---|---|
| Books | ISI Library, Kolkata | 515.9 M953 (Browse shelf(Opens below)) | Available | 136995 |
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| 515.9 M648 Advanced complex calculus | 515.9 M651 Complex analysis | 515.9 M922 Functions of complex variables | 515.9 M953 Complex analysis : | 515.9 M972 On automorphisms of Siegel domains | 515.9 N153 Imaginary tale | 515.9 N218 Complex analysis in one variable |
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.
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.
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