About this item

Rather than a course of study, this book is a sampler of advanced math for students who love math and Fred and want to preview courses they may take later. Upper division (college junior/senior) pure math is much different than calculus. No “word problems,” no formulas to memorize, no concrete applications—just puzzles to solve. Instead of learning procedures, students create definitions, theorems, and proofs. These are the first five days of Fred’s teaching set theory, modern algebra, abstract arithmetic, and topology. Each of the 139 assignments/puzzles/questions that he gives his students calls for creativity rather than doing drill work. Some of these can be done in a minute. Some will take several hours to complete. They are all meant to be enjoyed.