“This book is not seen only as a handbook. The authors advocate it as a text book for a course delivered to undergraduates or graduates from disciplines other than mathematics. For this reason, the book is extensively peppered with exercises. … the book is a collaboration between three authors, from Portugal, Germany, and Bulgaria, all writing in English. Quite an achievement. As a handy reference work containing a summary of the main properties of quaternions, the book will prove useful.” (Tony Crilly, The Mathematical Gazette, Vol. 105 (563), July, 2021)

From the book reviews:

“Morais (Univ. of Aveiro, Portugal), Georgiev (Sofia Univ., Bulgaria), and Spröig (Freiberg Univ. of Mining and Technology, Germany) focus on properties and formulas concerning quaternionic variations on basic special functions (exponential, logarithmic, trigonometric, hyperbolic, polynomial, binomial). Additionally, a chapter on linear algebra shows something of the delicate issues arising from noncommutative scalars. … Summing Up: Recommended. Upper-division undergraduates, faculty, and professionals/practitioners.” (D. V. Feldman, Choice, Vol. 52 (5), January, 2015)

“Morais, Georgiev, and Sprößig’s Real Quaternionic Calculus Handbook works through the fundamental properties and formulas necessary for working with quaternions. … there are lots of exercises throughout (with solutions), and it could be used as a text for an early graduate or advanced undergraduate course. I like it best as a self-study guide … . you are writing a test suite for quaternion computation in a computer algebra system, this is definitely the book for you.” (Bill Wood, MAA Reviews, April, 2014)

“The book is structured into ten chapters followed by another one containing the solutions of the problems proposed at the end of each chapter. … the book is quite informative and could be of great value for peoples who want to enter into and advance in the fascinating world of quaternions.” (Ivailo Mladenov, zbMATH, Vol. 1297, 2014)