This is a concise introductory textbook for a one-term course in the history and philosophy of mathematics. It is written for mathematics majors, philosophy students, history of science students and secondary school mathematics teachers. The only prerequisite is a solid command of pre-calculus mathematics. Furthermore, there are many detailed explanations of the important mathematical procedures actually used by famous mathematicians, giving more mathematically talented students a greater opportunity to learn the history and philosophy by way of problem-solving. Several important philosophical topics are pursued throughout the text, giving the student an opportunity to come to a full understanding of their development. These topics include infinity, the nature of motion and Platonism.
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