Problems in Classical and Contemporary Mathematics
A curated selection
2026 · 58 pp
Eighty-two problems across series, integrals, probability, algebra, number theory, geometry, combinatorics, and inequalities, organised by the technique that unlocks them.
A curator’s anthology. The problems are drawn from the classical canon and from contemporary composers, grouped by the technique that most naturally unlocks them: generating functions for series, parameter differentiation for integrals, conditioning arguments for probability, symmetric polynomials for algebra, and so on.
Each of the eight chapters opens with a paragraph naming the recurring instrument, followed by six to thirteen problems arranged by ascending technical weight. The chapters are Series and Summations, Integrals, Probability, Algebra and Polynomials, Number Theory, Geometry, Combinatorics, and Inequalities.
The volume closes with an Index of Techniques (generating functions, telescoping, parametric differentiation, indicator linearity, inclusion, exclusion, Muirhead, tangent-line trick, and so on) for cross-reference, and an Index of Composers and Sources recording attribution wherever a problem’s origin is known.