JEE Mathematics Books Collection

Advanced Problems in Mathematics by Vikas Gupta & Pankaj Joshi (the Black Book) — covers Algebra, Coordinate Geometry, Calculus and Vectors through original, high-difficulty problems rather than recycled ones. Attempt it only after your fundamentals are solid; it is a rank-booster, not a first book.

Sameer Bansal's Calculus for JEE Main & Advanced — a premium problem book covering Functions, Limits, Continuity, Differentiability, Applications of Derivatives, Indefinite and Definite Integration, Area under Curves and Differential Equations, with a strong bias toward graphical reasoning.

Sameer Bansal's Algebra for JEE Main & Advanced — covers Complex Numbers, Quadratic Equations, Sequences & Series, Permutations & Combinations, Binomial Theorem, Matrices, Determinants and Probability, through objective problems designed for top-rank aspirants.

A. Das Gupta's Problems Plus in IIT Mathematics — a classic topic-wise collection mixing subjective and objective questions across Algebra, Trigonometry, Coordinate Geometry, Calculus and Vectors. Its subjective problems build the multi-step reasoning that pure MCQ practice never develops.

Higher Algebra by Hall & Knight — the timeless classical text covering Ratio and Proportion, Arithmetic, Geometric and Harmonic progressions, Permutations & Combinations, Binomial Theorem, Logarithms, Inequalities and Theory of Equations. Essential groundwork for Olympiads and for genuinely rigorous JEE algebra.

Arihant's Skills in Mathematics series (Amit M. Aggarwal & S.K. Goyal) — seven focused volumes covering Algebra, Coordinate Geometry, Differential Calculus, Integral Calculus, Trigonometry, Vectors & 3D Geometry, and the standalone Play with Graphs. Each book takes one area and covers it from basics to JEE Advanced depth.

RD Sharma's Objective Mathematics — thousands of MCQs organised strictly by the current JEE Main syllabus, covering the full Class 11 and 12 course. Its value is repetition and volume: it is the most efficient way to make standard formulas and methods automatic under time pressure.

S.L. Loney's Plane Trigonometry and The Elements of Coordinate Geometry — the two foundational classics covering trigonometric ratios and identities, inverse functions, properties of triangles, straight lines, circles, and conic sections, with exhaustive proofs and subjective exercises.

Wiley's Objective Mathematics for JEE — pairs concise chapter theory with thousands of objective questions spanning the complete Class 11 and 12 syllabus, from Sets and Functions through Calculus, Coordinate Geometry, Vectors and Probability. A balanced single-volume option for JEE Main practice.