books by Marcus Giaquinto (certainty thinking account)

books by Marcus Giaquinto

books:

The Search for Certainty: A Philosophical Account of Foundations of Mathematics

2 reviews
Marcus Giaquinto

Oxford University Press, USA, 2004

Exceptionally well-written
It is not unusual for professional mathematicians to make it through their entire schooling without much in the way of formal instruction in the foundations of math. If, like me, you fall into this category, or if you just enjoy reading well-written books, I recommend Giaquinto's book most strongly. The author has performed an impressive balancing act. He manages to treat details precisely ...

Visual Thinking in Mathematics
Marcus Giaquinto

Oxford University Press, USA, 2007

Visual thinking -- visual imagination or perception of diagrams and symbol arrays, and mental operations on them -- is omnipresent in mathematics. Is this visual thinking merely a psychological aid, facilitating grasp of what is gathered by other means? Or does it also have epistemological functions, as a means of discovery, understanding, and even proof? By examining the many kinds of visual representation in mathematics and the diverse ways in ...