The Heart of Mathematics: An invitation to effective thinking
The Heart of Mathematics introduces students to the most important and interesting ideas in mathematics while inspiring them to actively engage in mathematical thinking.
Coincidences, Chaos, and All That Math Jazz: Making Light of Weighty Ideas
A book for the eternally curious, Coincidences fuses a professorís understanding of the hidden mathematical skeleton of the universe with the sensibility of a stand-up comedian, making lifeís big questions accessible and compelling.
Number Theory Through Inquiry
By: David C. Marshall, Edward
Odell & Michael Starbird
An innovative textbook that leads students on a guided discovery of introductory number theory. The book has two equally significant goals. One goal is to help students develop mathematical thinking skills, particularly, theorem-proving skills. The other goal is to help students understand some of the wonderfully rich ideas in the mathematical study of numbers. This book is appropriate for a proof transitions course, for an independent study experience, or for a course designed as an introduction to abstract mathematics. Mathematics or related majors, future teachers, and students or adults interested in exploring mathematical ideas on their own will enjoy Number Theory Through Inquiry.
Books In Progress
Dr. Starbird is working with two Ph.D. students (Brian Katz and David Paige, respectively) to complete the books on the Introduction to Higher Mathematics and Algebraic Topology. Thus, the notes for those topics will be updated soon.
Please remember that these versions are just drafts and therefore have errors and weaknesses that will be fixed.