Bell D., Bernhardt C. A Mathematical Tour 2025

Textbook in PDF format

A Mathematical Tour introduces readers to a selection of mathematical topics chosen for their centrality, importance, historical significance, and intrinsic appeal and beauty. The book is written to be accessible and interesting to readers with a good grounding in high school level mathematics and a keen sense of intellectual curiosity. Each chapter includes a short history of the topic, statements and discussion of important results, illustrations, user-friendly exercises, and suggestions for further reading. This book is intended to be read for pleasure but could also be used for a Topics course in Mathematics or as a supplementary text in a History of Mathematics course.
Features
contains a selection of accessible mathematical topics
exercises that elucidate, and sometimes enlarge on, the topics
suitable for readers with knowledge of high school mathematics
Geometry
Number Theory
Medieval and Renaissance Mathematics
Algebra
Calculus
Complex Variables
Graph Theory
Probability
Countability and Computability