The Primer for Point and Space Groups is a specialized book designed as an introduction to group theory, aimed at students in materials science, electrical engineering, physics, chemistry, physical chemistry, and applied mathematics. The book provides a comprehensive discussion of the fundamental concepts of group theory, particularly point and space groups, which are central to technological applications. Each chapter guides readers through the essential definitions and theorems necessary for understanding group theory and offers numerous applications that illustrate the relevance of the theory across various scientific disciplines. The topics covered range from the basics of abelian groups to complex applications in quantum mechanics, making the book a valuable resource for students and professionals engaged with the mathematical foundations of symmetry and its applications.