What is Mathematics?

A discussion of fundamental mathematical principles from algebra to elementary calculus designed to promote constructive mathematical reasoning.

Tries to refine the philosophy of mathematics to reflect what mathematicians really do, and argues that mathematics must be understood in a social context.

So, you know what mathematics is, right? Well, if you do, you’re a smarter person than Nobel laureates Albert Einstein and Eugene Wigner, who were baffled by what mathematics is and how it relates to science and the world. Wigner wrote a famous paper entitled “The Unreasonable Effectiveness of Mathematics

This is not a mathematics book, but a book about mathematics, which addresses both student and teacher, with a goal as practical as possible, namely to initiate and smooth the way toward the student's full understanding of the mathematics taught in school. The customary procedural-formal approach to teaching mathematics has

A discussion of fundamental mathematical principles from algebra to elementary calculus designed to promote constructive mathematical reasoning.