Introduction to Complex Analysis by Michael E Taylor
In this text, the reader will learn that all the basic functions that arise in calculus--such as powers and fractional powers, exponentials and logs, trigonometric functions and their inverses, as well as many new functions that the reader will meet--are naturally defined for complex arguments. Furthermore, this expanded setting leads to a much richer understanding of such functions than one could glean by merely considering them in the real domain. For example, understanding the exponential function in the complex domain via its differential equation provides a clean path to Euler's formula and hence to a self-contained treatment of the trigonometric functions. Complex analysis, developed in partnership with Fourier analysis, differential equations, and geometrical techniques, leads to the development of a cornucopia of functions of use in number theory, wave motion, conformal mapping, and other mathematical phenomena, which the reader can learn about from material presented here. This book could serve for either a one-semester course or a two-semester course in complex analysis for beginning graduate students or for well-prepared undergraduates whose background includes multivariable calculus, linear algebra, and advanced calculus.-
Analysis
-
Options Pricing and Portfolio Optimization
-
Scrapbook of Complex Curve Theory
- Partial Differential Equations
-
Algebra
-
A Course on the Web Graph
-
Global Analysis
-
Invitation to Nonlinear Algebra
-
Applied Asymptotic Analysis
-
Advanced Modern Algebra
-
A Course in Operator Theory
-
Representations of Finite and Compact Groups
-
Classical and Quantum Computation
-
Toric Varieties
-
Introduction to Analytic and Probabilistic Number Theory
-
Mathematical Methods in Quantum Mechanics
-
Discovering Modern Set Theory, Part 1
-
Differential Geometry, Lie Groups, and Symmetric Spaces
-
Lectures on Elliptic and Parabolic Equations in Sobolev Spaces
-
Riemann Surfaces by Way of Complex Analytic Geometry
-
Advanced Modern Algebra, Parts 1 and 2
-
Introduction to Quantum Groups and Crystal Bases
-
Introduction to the H-Principle
-
A Course in Differential Geometry
-
Measure Theory and Integration
-
Algebraic Number Fields
-
Inequalities in Matrix Algebras
-
Algebraic Curves and Riemann Surfaces
-
$\textrm {C}^*$-Algebras and Finite-Dimensional Approximations
-
The Calderon Problem
-
Mathematical Foundations of Deep Learning Models and Algorithms
-
Several Complex Variables with Connections to Algebraic Geometry and Lie Groups
-
Function Theory of One Complex Variable
Michael E. Taylor, University of North Carolina, Chapel Hill, NC.
| SKU | Unavailable |
| ISBN 13 | 9781470463755 |
| ISBN 10 | 147046375X |
| Title | Introduction to Complex Analysis |
| Author | Michael E Taylor |
| Series | Graduate Studies In Mathematics |
| Condition | Unavailable |
| Binding Type | Paperback |
| Publisher | American Mathematical Society |
| Year published | 2019-01-31 |
| Number of pages | 480 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |