Dr. Rajkumar Roychoudhury
501 Difficult Problems in Mathematics by Dr. Rajkumar Roychoudhury is a challenging problem book designed primarily for senior secondary students and those preparing for competitive mathematics exams. The book contains a wide variety of problems that go beyond standard textbook exercises, pushing students to think creatively and apply concepts in non-routine ways. It covers topics from algebra, geometry, trigonometry, combinatorics, and number theory, emphasizing problem-solving skills over theoretical exposition. Each problem is carefully chosen to challenge the reader’s understanding and to develop logical reasoning, persistence, and ingenuity. The book is intended for motivated students who already have a solid grasp of basic mathematics and wish to tackle higher-level problems. Roychoudhury’s collection is structured to gradually increase in difficulty, helping readers build confidence and technique as they progress. While it does not provide extensive theory, the problems often require a deep understanding of underlying mathematical principles. Many students and teachers have recommended it for preparation for entrance exams and olympiad-style competitions. The book encourages independent thinking, as solutions are either brief or left for the reader to work out, fostering active engagement with the material. Published by B.M. Publication, it has become a respected resource for developing advanced problem-solving abilities in mathematics.