This book is the first major study of advanced mathematical thinking as performed by mathematicians and taught to students in senior high school and university.

The ability to construct proofs is one of the most challenging aspects of the world of mathematics. It is, essentially, the defining moment for those testing th

How Humans Learn to Think Mathematically describes the development of mathematical thinking from the young child to the sophisticated adult. Professor David Tal

Many students have trouble the first time they take a mathematics course in which proofs play a significant role. This new edition of Velleman's successful text