Problems Plus in IIT Mathematics by A. Das Gupta is widely considered one of the most challenging and prestigious problem-solving books for students preparing for the JEE Advanced. Unlike standard textbooks, it focuses heavily on high-difficulty subjective problems that push students to develop deep mathematical intuition and creative reasoning. Core Features of the Book
Target Audience: It is best suited for advanced learners who already have a strong foundation in basics from sources like NCERT or RD Sharma.
Problem Structure: Each chapter typically begins with a concise summary of facts, formulas, and working techniques. This is followed by a vast collection of graded problems, ranging from moderate to extremely difficult.
Multi-Method Solutions: The book often encourages multiple approaches to a single problem—such as solving a geometric area problem both with and without calculus—to help students see the connections between different branches of math.
Subjective Focus: While most modern JEE materials focus on MCQs, Das Gupta’s classic work is renowned for its subjective problems, which are essential for building the stamina required for the JEE Advanced. Topics Covered Problems Plus in IIT Mathematics Asit Das Gupta
Problems Plus in IIT Mathematics A. Das Gupta is a highly regarded resource specifically designed for students aiming for the JEE Advanced
. It is widely recognized for its ability to build strong fundamental knowledge through a rigorous collection of conceptual and analytical problems. Core Features and Content Targeted Level
: The book is best suited for students who already possess a strong foundation in high school mathematics and want to elevate their problem-solving to the level required by the IITs. Chapter Structure : Each chapter typically starts with a summary of facts, formulas, and working techniques
to refresh the student's memory before they dive into exercises. Tricks and Techniques
: Specialized icons mark specific tips and "tricks" to help students navigate complex problems more efficiently. Problem Variety
: It includes a large volume of multiple-choice questions (MCQs), practice problems, and detailed solutions that test the application of concepts in new and challenging situations. Preparation Strategy JEE Advanced Focus : Reviewers often state that completing this book can cover 80–90% of the JEE Advanced mathematics preparation. Supplementary Use Problem Plus In Iit Mathematics A Das Gupta Pdf
: While excellent for advanced problem-solving, some experts recommend supplementing it with other resources (like
) that may offer a more "laser-focused" approach to the specific objective nature of current exam patterns. Comparison
: It is frequently compared to other "advanced" books like the "Black Book" (by Vikas Gupta) for its high difficulty level and exhaustive question sets. Purchasing and Availability The book is published by Bharati Bhawan and is available through major retailers: Physical Copy
: You can find current editions (e.g., 2024-25 or 2025-26) at Amazon India for academic overviews. Digital Version
: Digital versions or "PDF solutions" are often sought for portability and ease of search on various devices. difficulty level of A. Das Gupta with other popular JEE books like Vikas Gupta S.L. Loney
Problems Plus in IIT Mathematics by A. Das Gupta (published by Bharati Bhawan) is a highly regarded, advanced-level mathematics book tailored for engineering entrance aspirants, particularly for JEE Main & Advanced. It is often recommended to strengthen problem-solving skills, focusing on analytical ability rather than just formula memorization. Key Features of the Book Target Audience:
Students preparing for JEE Main & Advanced, often used after mastering basic NCERT or introductory books. Structure:
Each chapter includes a summary of facts, formulas, and working techniques, followed by a large collection of solved problems. Content Types:
Contains graded exercises, short-answer questions, long-answer questions, and multiple-choice questions (MCQs) designed for JEE, including questions where more than one option may be correct. Practice Material:
Includes time-bound tests at the end of chapters and miscellaneous problems for final review. Problems Plus in IIT Mathematics by A
It aims to build confidence by showing students how to apply fundamental concepts to new, complex situations. Usage and Effectiveness Preparation Strategy:
While useful for improving general math skills, it is generally considered best used in combination with other resources rather than as a single comprehensive textbook. Compared to Others:
Some users consider it a great practice book, though perhaps less focused on modern JEE patterns compared to newer resources like "Advanced Problems in Mathematics" by Vikas Gupta. PDF Disclaimer
Please note that "Problems Plus in IIT Mathematics" is a copyrighted book published by Bharati Bhawan. It is recommended to purchase the original paperback version to support the author and receive the latest, error-checked content. You can purchase the book through platforms like Is A Das Gupta Good For JEE Advanced? - Phodu Club
Example (Algebra):
If ( a, b, c ) are positive real numbers such that ( a + b + c = 1 ), prove that
[
\fraca1+bc + \fracb1+ca + \fracc1+ab \ge \frac910
]
This problem requires:
Most JEE Main problems would end at the first or second step; Das Gupta expects you to complete all steps independently.
Week 1–2 — Foundations
Week 3–4 — Geometry & Coordinate geometry
Week 5 — Calculus
Week 6 — Vectors, 3D, Complex numbers
Week 7 — Sequences, Series, Probability, Misc
Week 8 — Consolidation
Adjust pace based on time before exam and personal strengths/weaknesses.
1. Exhaustive Subjective Problems In an era where many guides focus solely on Multiple Choice Questions (MCQs), A. Das Gupta’s book retains the classic "Subjective Problems" format. These are long-form, calculation-intensive questions that force the student to derive answers step-by-step. This is crucial for JEE Advanced, where numerical-type questions have made a significant comeback. Mastering these subjective problems ensures that a student understands the "why" and "how" of a concept, rather than just guessing an option.
2. Multi-Conceptual Complexity The hallmark of IIT mathematics is the ability to link disparate topics—for example, mixing Calculus with Coordinate Geometry or Trigonometry with Algebra. The problems in this book are curated to challenge the student's ability to visualize these connections. The difficulty level oscillates between moderate and highly challenging, mirroring the unpredictable nature of the JEE Advanced paper.
3. Topic-Wise Segregation The PDF version of the book is highly sought after because of its organized structure. It covers major pillars of the syllabus:
Compared to many Indian competitive books, A. Das Gupta’s work has relatively fewer typographical or conceptual errors — a sign of careful editing.
For over two decades, the Indian Institutes of Technology Joint Entrance Examination (IIT-JEE) has been considered one of the most challenging undergraduate entrance exams in the world. Amidst the sea of textbooks like R.D. Sharma, I.A. Maron, and Hall & Knight, one book has achieved a near-mythical status among top-tier aspirants: "Problem Plus In IIT Mathematics" by A. Das Gupta.
Unlike standard textbooks that focus on theory and solved examples, Problem Plus is a pure problem-solving juggernaut. It is not for the faint-hearted; it is designed for students who have already mastered the basics and are ready to wrestle with questions that push the boundaries of logic, speed, and conceptual fusion. Ideal Student Profile: