Book:Walter Ledermann/Complex Numbers

Subject Matter

 * Complex Analysis

Contents

 * Preface


 * 1. Algebraic Theory of Complex Numbers
 * 1. Number Systems
 * 2. The Algebraic Theory


 * 2. Geometrical Representations


 * 3. Roots of Unity


 * 4. Elementary Functions of a Complex Variable
 * 1. Introduction
 * 2. Sequences
 * 3. Series
 * 4. Power Series
 * 5. The Functions $e^z, \cos z, \sin z$
 * 6. The Logarithm


 * Answers to Exercises
 * Index



Argument of $-1 - i$
Chapter $2$: Geometrical Representations: Example $\text{(iv)}$

Equation relating Points of Parallelogram in Complex Plane
Chapter $2$: Geometrical Representations: Exercise $7$

Triple Angle Formula for Cosine: $2 \cos 3 \theta + 1$
Chapter $3$: Roots of Unity: Example $6$

Radius of Convergence of Power Series Expansion for Cosine Function
Chapter $4$: Elementary Functions of a Complex Variable: Section $4$: Power Series: Example $\text{(iii)}$