CSIR NET Maths
Worked-problem books
One topic, one book: a recap, a page of formulas, a set of exam-style problems solved completely from statement to answer, and a self-test. Free ones are full books, not teasers — print them or save them as a PDF from the page itself. More topics are being written; most of those will be sold.
Analysis & Linear Algebra · The Real Line
The Real Line — Worked Problems free
Completeness, sequences, series and limits: eleven exam-style problems solved in full, a one-page reference, and a six-problem self-test.
Analysis & Linear Algebra · Continuity and Differentiation
Continuity & Differentiation — Worked Problems paid
Uniform continuity, Lipschitz bounds, Rolle, the mean value theorem, L'Hôpital and Taylor's theorem: eleven exam-style problems solved in full, a reference sheet, and a six-problem self-test.
Analysis & Linear Algebra · Eigenvalues and Canonical Forms
Eigenvalues & Canonical Forms — Worked Problems paid
Characteristic and minimal polynomials, diagonalisability, Jordan and rational canonical form: eleven exam-style problems solved in full, a reference sheet, and a six-problem self-test.
Complex Analysis, Algebra & Topology · Groups
Groups — Worked Problems paid
Lagrange, normal subgroups, Sₙ/Aₙ, group actions, Sylow and finite abelian groups: eleven exam-style problems solved in full, a reference sheet, and a six-problem self-test.
Complex Analysis, Algebra & Topology · Rings and Fields
Rings & Fields — Worked Problems paid
Ideals and CRT, the Euclidean–PID–UFD hierarchy, irreducibility tests, field extensions, and Galois theory: eleven exam-style problems solved in full, a reference sheet, and a six-problem self-test.
ODE, PDE & Applied Mathematics · Ordinary Differential Equations
Ordinary Differential Equations — Worked Problems paid
Existence and uniqueness, linear equations and systems, Sturm–Liouville problems, and stability: eleven exam-style problems solved in full, a reference sheet, and a six-problem self-test.
ODE, PDE & Applied Mathematics · Partial Differential Equations
Partial Differential Equations — Worked Problems paid
Lagrange's method, Charpit's method, classification and canonical forms, and separation of variables: eleven exam-style problems solved in full, a reference sheet, and a six-problem self-test.
Probability, Statistics & Linear Programming · Probability
Probability — Worked Problems paid
Bayes, independence, moment generating functions, standard distributions, and joint distributions: eleven exam-style problems solved in full, a reference sheet, and a six-problem self-test.
Probability, Statistics & Linear Programming · Hypothesis Testing
Hypothesis Testing — Worked Problems paid
Neyman–Pearson and UMP tests, likelihood ratio tests, and the standard t, chi-square and F procedures: eleven exam-style problems solved in full, a reference sheet, and a six-problem self-test.