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A Gentle Introduction to Group Theory

Bana Al Subaiei , Muneerah Al Nuwairan
Publication Date: 
Number of Pages: 
[Reviewed by
Ludovick Bouthat
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Bana Al Subaiei and Muneerah Al Nuwairan's A Gentle Introduction to Group Theory serves as a valuable asset for young mathematicians seeking a comprehensive entryway into the realm of group theory. Targeted toward second-year university students, this textbook elegantly introduces the fundamental concepts essential for progressing into advanced algebraic studies. The book's strength lies in its meticulous attention to detail, evident right from the start with its comprehensive list of symbols and terminologies. This approach ensures a smooth journey through the landscape of group theory, providing a solid foundation for further academic pursuits. 
Each chapter culminates with a blend of solved and unsolved exercises, a useful feature for readers seeking to learn for the first time the basics of group theory. Moreover, the inclusion of a dedicated chapter on SAGE—a modern mathematical software system—is a standout feature. Not only does it elucidate the relevance of computational tools in understanding group theory, but it also offers practical coding exercises, providing a hands-on approach to theoretical concepts. 
As a textbook, it strikes a great balance between theoretical exposition and practical application. While its references might be limited, this aligns with the norm for textbooks designed primarily for educational purposes. However, the comprehensive index serves as a valuable navigational tool, enhancing the book's usability. 
Comparatively, this text holds its ground alongside similar introductory works on group theory. Its distinctive feature lies in its incorporation of SAGE, bridging theory with modern computational application. This addition not only sets it apart but also equips students with valuable computational skills, a useful tool to have in contemporary mathematical exploration. 
In essence, A Gentle Introduction to Group Theory stands as an enriching educational resource. It seamlessly caters to the intended audience of second-year university students, providing a well-structured pathway into the intriguing realm of group theory. Its inclusion of SAGE elevates its relevance in a progressively computerized academic landscape. For aspiring mathematicians seeking a firm foothold in group theory and its practical applications, Al Subaiei and Al Nuwairan's book emerges as a great option to learn this foundational mathematical concept. 
About the reviewer: Ludovick Bouthat ( is a PhD student at Université Laval.