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Complex analysis : a modern first course in function theory / Jerry R. Muir, Jr.

By: Material type: TextTextPublication details: New Jersey : John Wiley, ©2015.Description: xii, 262 p. : illustrations ; 24 cmISBN:
  • 9781118705223
Subject(s): DDC classification:
  • 515.9 23 M953
Contents:
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.
Summary: 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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Holdings
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
Total holds: 0

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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