Read and Download Free eBooks
/
Categories
Browse by category
1,965 books to get lost inYours to read. Yours to keep.
No books found.
Try another title or author.
Try another title or author.
Alexandre Borovik and Tony Gardiner explore mathematical thinking through a sequence of 270 problems, accompanied by commentary and full solutions. Starting with familiar arithmetic and algebra, they show how elementary questions can open into deeper structures, unexpected connections and different ways of approaching a proof.
The six chapters cover mental skills, arithmetic, word problems, algebra, geometry and infinity. Topics include divisibility, complex numbers, constructions, higher-dimensional cubes, induction and infinite descent. The book invites active work rather than offering a survey to read passively: readers can attempt the problems before comparing their reasoning with the explanations.
Published in 2019, this mathematical workshop is useful for teachers, university students and independent adult learners who want to revisit the foundations with greater depth.