Choosing the Right Mathematics Book for JEE Preparation: Problems Plus in IIT Mathematics and Challenges and Thrills of Pre-College Mathematics
When preparing for JEE Advanced, selecting the right reference book is crucial. Two highly respected textbooks in this field are 'Problems Plus in IIT Mathematics' by A Dasgupta and 'Challenges and Thrills of Pre-College Mathematics'. Both books have their unique strengths and are suitable for different aspects of your preparation.
Understanding the JEE Advanced and Pre-College Mathematics
JEE Advanced, the final leg of the JEE examination, requires students to be well-prepared and adept at solving a wide range of mathematical problems. The syllabus includes advanced and challenging topics that require a strong foundation in basic concepts. 'Problems Plus in IIT Mathematics' by A Dasgupta covers a broad spectrum of problems, from the basic to the highly advanced, making it an excellent resource for thorough preparation. The book includes previous year's IIT questions, which are crucial for understanding the exam pattern and difficulty level.
My Personal Experience with 'Problems Plus in IIT Mathematics'
Let me share my experience with 'Problems Plus in IIT Mathematics'. Although I was proficient in mathematics during my school days, my preparation for JEE Advanced presented a different challenge. Initially, my mathematical skills deteriorated, but after about half a year into my 11th standard, I began solving problems from 'ML Khanna', which reignited my interest in the subject. By the time I was in 12th standard, my focus was intense, with the aim to score 100 in mathematics in JEE Advanced. However, I still left a few questions unanswered in the JEE ADV as I had stopped solving from 'ML Khanna' since December. This experience highlights the importance of consistent and thorough problem-solving practice.
The Complementary Strengths of 'Challenges and Thrills of Pre-College Mathematics'
'Challenges and Thrills of Pre-College Mathematics' by V Krishnamurthy is a different beast altogether. While 'Problems Plus in IIT Mathematics' is geared towards the JEE Advanced level, 'Challenges and Thrills' is more aligned with Regional Mathematical Olympiads (RMO) and Indian National Mathematical Olympiad (INMO).
The two books are not directly comparable, as they cater to different levels and competitions. I have referred to both books, but my primary focus has been on 'Pre-College Mathematics'. This book is exceptionally good for strengthening your logical thinking and problem-solving skills at the pre-college level. The problems in this book are challenging and thought-provoking, which helps in building a strong foundation for advanced mathematics.
Conclusion: A Comprehensive Approach to Preparation
For comprehensive JEE Advanced preparation, it is beneficial to have a balanced approach. 'Problems Plus in IIT Mathematics' by A Dasgupta should be your focal point for advanced problem-solving and practice. On the other hand, 'Challenges and Thrills of Pre-College Mathematics' by V Krishnamurthy is invaluable for developing a deep understanding of the subject and honing your analytical skills.
Ultimately, the choice between these two books depends on your specific goals and the stage of your preparation. For a well-rounded preparation, you should consider both of these books. Remember, consistent practice and a strong conceptual understanding are key to success in JEE Advanced.