Aritra Dey

Aritra Dey

Most math textbooks present theorems as finished monuments, hiding the false starts that drove their creators. This book takes the opposite approach. Group theory grew from concrete puzzles about polynomial roots, geometric symmetries and number patterns, and this short guide is built around that problem-driven journey. Each chapter begins with a motivating puzzle, and a tool such as a subgroup, a coset or an isomorphism is formalised only when the problem demands it. Solved problems are drawn from premier Indian M.Sc. and Ph.D. entrance tests, including IIT JAM, NBHM and TIFR. It is a pocket companion for revising what you have already learned, not a first course in group theory. By Dr. Sourayan Banerjee (IIT Kharagpur) and Aritra Dey (TIFR Mumbai); edited by Shilpa Bera.