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What is included with this book?
| The complex plane | |
| The complex numbers and the complex plane | |
| A formal view of the complex numbers | |
| Some geometry | |
| Subsets of the plane | |
| Functions and limits | |
| The exponential, logarithm, and trigonometric functions | |
| Line integrals and Green's theorem | |
| Basic properties of analytic functions | |
| Analytic and harmonic functions; the Cauchy-Riemann equations | |
| Flows, fields, and analytic functions | |
| Power series | |
| Cauchy's theorem and Cauchy's formula | |
| The Cauchy-Goursat theorem | |
| Consequences of Cauchy's formula | |
| Isolated singularities | |
| The residue theorem and its application to the evaluation of definite integrals | |
| Analytic functions as mappings | |
| The zeros of an analytic function | |
| The stability of solutions of a system of linear differential equations | |
| Maximum modulus and mean value | |
| Linear fractional transformations | |
| Conformal mapping | |
| Conformal mapping and flows | |
| The Riemann mapping theorem and Schwarz-Christoffel transformations | |
| Analytic and harmonic functions in applications | |
| Harmonic functions | |
| Harmonic functions as solutions to physical problems | |
| Integral representations of harmonic functions | |
| Boundary-value problems | |
| Impulse functions and the Green's function of a domain | |
| Transform methods | |
| The Fourier transform: basic properties | |
| Formulas Relating u and u | |
| The Laplace transform | |
| Applications of the Laplace transform to differential equations | |
| The Z-Transform | |
| The stability of a discrete linear system | |
| The stability of a discrete linear system | |
| A Table of Conformal Mappings | |
| A Table of Laplace Transforms | |
| Solutions to Odd-Numbered Exercises | |
| Index | |
| Table of Contents provided by Publisher. All Rights Reserved. |
The New copy of this book will include any supplemental materials advertised. Please check the title of the book to determine if it should include any access cards, study guides, lab manuals, CDs, etc.
The Used, Rental and eBook copies of this book are not guaranteed to include any supplemental materials. Typically, only the book itself is included. This is true even if the title states it includes any access cards, study guides, lab manuals, CDs, etc.
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