Mathematics is an adventure
Maths Workshop: an invitation to mathematics
Mathematical reality is an infinite jungle full of enchanting mysteries, but the jungle does not give up its secrets easily. Be prepared to struggle, both intellectually and creatively. The truth is, I don’t know of any human activity as demanding of one’s imagination, intuition, and ingenuity. But I do it anyway. I do it because I love it and because I can’t help it. Once you’ve been to the jungle, you can never really leave. It haunts your waking dreams.
So I invite you to go on an amazing adventure!
A space for mathematical exploration, challenging problems, and complete solutions.
Maths Workshop is a place to explore challenging mathematical problems, to develop intuition, and to discover beautiful ideas. Every problem comes with a graded hint and a complete solution, so you can struggle for as long as you wish, and then see how the story ends.
2245 problems · graded hints · complete solutions
Begin anywhere
- CalculusLimits, continuity, derivatives, integrals, series and differential equations, in one and several variables.504
- TopologyTopology, metric and normed spaces.339
- Linear algebraMatrices, vector spaces, linear maps, determinants and diagonalisation.244
- AlgebraEquations, inequalities, polynomials, complex numbers and algebraic structures.304
- Number theoryDivisibility, primes, congruences and irrationality proofs.287
- CombinatoricsCounting arguments, binomial coefficients, graphs and bijections.382
- GeometryPlane and space geometry, triangles, circles and analytic geometry.37
- Logic, sets and proofsProof techniques, quantifiers, sets, maps and cardinality.148