An Introduction to Complex Analysis
Ravi P. Agarwal (),
Kanishka Perera () and
Sandra Pinelas ()
Additional contact information
Ravi P. Agarwal: Florida Institute of Technology, Department of Mathematics
Kanishka Perera: Florida Institute of Technology, , Department of Mathematical Sciences
Sandra Pinelas: Azores University, , Department of Mathematics
in Springer Books from Springer
Date: 2011
Edition: 1
ISBN: 978-1-4614-0195-7
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Chapters in this book:
- Ch Lecture 1 Complex Numbers I
- Ravi P. Agarwal, Kanishka Perera and Sandra Pinelas
- Ch Lecture 10 Mappings by Functions I
- Ravi P. Agarwal, Kanishka Perera and Sandra Pinelas
- Ch Lecture 11 Mappings by Functions II
- Ravi P. Agarwal, Kanishka Perera and Sandra Pinelas
- Ch Lecture 12 Curves, Contours, and Simply Connected Domains
- Ravi P. Agarwal, Kanishka Perera and Sandra Pinelas
- Ch Lecture 13 Complex Integration
- Ravi P. Agarwal, Kanishka Perera and Sandra Pinelas
- Ch Lecture 14 Independence of Path
- Ravi P. Agarwal, Kanishka Perera and Sandra Pinelas
- Ch Lecture 15 Cauchy-Goursat Theorem
- Ravi P. Agarwal, Kanishka Perera and Sandra Pinelas
- Ch Lecture 16 Deformation Theorem
- Ravi P. Agarwal, Kanishka Perera and Sandra Pinelas
- Ch Lecture 17 Cauchy’s Integral Formula
- Ravi P. Agarwal, Kanishka Perera and Sandra Pinelas
- Ch Lecture 18 Cauchy’s Integral Formula for Derivatives
- Ravi P. Agarwal, Kanishka Perera and Sandra Pinelas
- Ch Lecture 19 The Fundamental Theorem of Algebra
- Ravi P. Agarwal, Kanishka Perera and Sandra Pinelas
- Ch Lecture 2 Complex Numbers II
- Ravi P. Agarwal, Kanishka Perera and Sandra Pinelas
- Ch Lecture 20 Maximum Modulus Principle
- Ravi P. Agarwal, Kanishka Perera and Sandra Pinelas
- Ch Lecture 21 Sequences and Series of Numbers
- Ravi P. Agarwal, Kanishka Perera and Sandra Pinelas
- Ch Lecture 22 Sequences and Series of Functions
- Ravi P. Agarwal, Kanishka Perera and Sandra Pinelas
- Ch Lecture 23 Power Series
- Ravi P. Agarwal, Kanishka Perera and Sandra Pinelas
- Ch Lecture 24 Taylor’s Series
- Ravi P. Agarwal, Kanishka Perera and Sandra Pinelas
- Ch Lecture 25 Laurent’s Series
- Ravi P. Agarwal, Kanishka Perera and Sandra Pinelas
- Ch Lecture 26 Zeros of Analytic Functions
- Ravi P. Agarwal, Kanishka Perera and Sandra Pinelas
- Ch Lecture 27 Analytic Continuation
- Ravi P. Agarwal, Kanishka Perera and Sandra Pinelas
- Ch Lecture 28 Symmetry and Reflection
- Ravi P. Agarwal, Kanishka Perera and Sandra Pinelas
- Ch Lecture 29 Singularities and Poles I
- Ravi P. Agarwal, Kanishka Perera and Sandra Pinelas
- Ch Lecture 3 Complex Numbers III
- Ravi P. Agarwal, Kanishka Perera and Sandra Pinelas
- Ch Lecture 30 Singularities and Poles II
- Ravi P. Agarwal, Kanishka Perera and Sandra Pinelas
- Ch Lecture 31 Cauchy’s Residue Theorem
- Ravi P. Agarwal, Kanishka Perera and Sandra Pinelas
- Ch Lecture 32 Evaluation of Real Integrals by Contour Integration I
- Ravi P. Agarwal, Kanishka Perera and Sandra Pinelas
- Ch Lecture 33 Evaluation of Real Integrals by Contour Integration II
- Ravi P. Agarwal, Kanishka Perera and Sandra Pinelas
- Ch Lecture 34 Indented Contour Integrals
- Ravi P. Agarwal, Kanishka Perera and Sandra Pinelas
- Ch Lecture 35 Contour Integrals Involving Multi-valued Functions
- Ravi P. Agarwal, Kanishka Perera and Sandra Pinelas
- Ch Lecture 36 Summation of Series
- Ravi P. Agarwal, Kanishka Perera and Sandra Pinelas
- Ch Lecture 37 Argument Principle and Rouché and Hurwitz Theorems
- Ravi P. Agarwal, Kanishka Perera and Sandra Pinelas
- Ch Lecture 38 Behavior of Analytic Mappings
- Ravi P. Agarwal, Kanishka Perera and Sandra Pinelas
- Ch Lecture 39 Conformal Mappings
- Ravi P. Agarwal, Kanishka Perera and Sandra Pinelas
- Ch Lecture 4 Set Theory in the Complex Plane
- Ravi P. Agarwal, Kanishka Perera and Sandra Pinelas
- Ch Lecture 40 Harmonic Functions
- Ravi P. Agarwal, Kanishka Perera and Sandra Pinelas
- Ch Lecture 41 The Schwarz-Christoffel Transformation
- Ravi P. Agarwal, Kanishka Perera and Sandra Pinelas
- Ch Lecture 42 Infinite Products
- Ravi P. Agarwal, Kanishka Perera and Sandra Pinelas
- Ch Lecture 43 Weierstrass’s Factorization Theorem
- Ravi P. Agarwal, Kanishka Perera and Sandra Pinelas
- Ch Lecture 44 Mittag-Leffler Theorem
- Ravi P. Agarwal, Kanishka Perera and Sandra Pinelas
- Ch Lecture 45 Periodic Functions
- Ravi P. Agarwal, Kanishka Perera and Sandra Pinelas
- Ch Lecture 46 The Riemann Zeta Function
- Ravi P. Agarwal, Kanishka Perera and Sandra Pinelas
- Ch Lecture 47 Bieberbach’s Conjecture
- Ravi P. Agarwal, Kanishka Perera and Sandra Pinelas
- Ch Lecture 48 The Riemann Surfaces
- Ravi P. Agarwal, Kanishka Perera and Sandra Pinelas
- Ch Lecture 49 Julia and Mandelbrot Sets
- Ravi P. Agarwal, Kanishka Perera and Sandra Pinelas
- Ch Lecture 5 Complex Functions
- Ravi P. Agarwal, Kanishka Perera and Sandra Pinelas
- Ch Lecture 50 History of Complex Numbers
- Ravi P. Agarwal, Kanishka Perera and Sandra Pinelas
- Ch Lecture 6 Analytic Functions I
- Ravi P. Agarwal, Kanishka Perera and Sandra Pinelas
- Ch Lecture 7 Analytic Functions II
- Ravi P. Agarwal, Kanishka Perera and Sandra Pinelas
- Ch Lecture 8 Elementary Functions I
- Ravi P. Agarwal, Kanishka Perera and Sandra Pinelas
- Ch Lecture 9 Elementary Functions II
- Ravi P. Agarwal, Kanishka Perera and Sandra Pinelas
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DOI: 10.1007/978-1-4614-0195-7
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