Algebra & Trigonometry

This book explores the fundamentals of algebra and trigonometry. Review questions are provided at the end of each chapter.

ALGEBRA

1. Sequences

2. Infinite Series

3. Equivalence Relations and Partitions

4. Groups

5. Normal Subgroups

6. Rings


TRIGONOMETRY

1. Complex Numbers

2. Exponential, Trigonometric and Hyperbolic Functions of a Complex Variable (Separation into real and imaginary parts)

3. Logarithms of Complex Numbers

4. Inverse Circular and Hyperbolic Functions of Complex Numbers

5. Gregory's Series and Trigonometrical Expansions

6. Summation of Trigonometrical Series