this can be a concise introductory textbook for a one-semester (40-class) direction within the historical past and philosophy of arithmetic. it really is written for mathemat­ ics majors, philosophy scholars, background of technological know-how scholars, and (future) secondary tuition arithmetic lecturers. the single prerequisite is an effective command of precalculus arithmetic. at the one hand, this publication is designed to assist arithmetic majors ac­ quire a philosophical and cultural realizing in their topic through doing genuine mathematical difficulties from assorted eras. nevertheless, it truly is designed to aid philosophy, background, and schooling scholars come to a deeper figuring out of the mathematical facet of tradition through writing brief essays. the best way i actually educate the fabric, stu­ dents are given a call among mathematical assignments, and extra his­ torical or philosophical assignments. (Some pattern assignments and checks are present in an appendix to this ebook. ) This e-book differs from average textbooks in different methods. First, it really is shorter, and hence extra obtainable to scholars who've difficulty dealing with massive quantities of interpreting. moment, there are various designated motives of the $64000 mathematical strategies truly utilized by well-known mathe­ maticians, giving extra mathematically gifted scholars a better oppor­ tunity to benefit the historical past and philosophy in terms of challenge solving.