**Real Quaternionic Calculus Handbook**

by** Morais**, Joao Pedro, **Georgiev**, Svetlin, **Sprößig**, Wolfgang

2014, XII, 216 p. 1 illus. in color. Birkhäuser Basel.

**Available Formats:**

- eBook 41,64 €, ISBN 978-3-0348-0622-0
- Softcover 49,99 €, ISBN 978-3-0348-0621-3

**Information**

- Gives a brief introduction in the algebra, geometry and elementary analysis of quaternions and quaternion functions
- Presents solutions or hints for the solution of 150 problems, and supplementary exercises for a course on quaternions
- Provides basic knowledge for computing with matrices with quaternion entries
- Includes important historical remarks

Keywords » quaternion analysis – quaternion elementary functions – quaternion matrices – quaternion operations – quaternion sequences, series and products – rotations

### Table of contents

1 An introduction to quaternions.- 2 Quaternions and spatial rotation.- 3 Quaternion sequences.- 4 Quaternion series and infinite products.- 5 Exponents and logarithms.- 6 Trigonometric functions.- 7 Hyperbolic functions.- 8 Inverse hyperbolic and trigonometric functions.- 9 Quaternion matrices.- 10 Monomials, polynomials and binomials.- 11 Solutions.- Bibliography.- Index.

*Source:* Email from S. Georgiev, 28 Jan. 2014, sgg2000bg_AT_yahoo.com, http://www.springer.com/birkhauser/mathematics/book/978-3-0348-0621-3