The Magic of Numbers
A math book for non-math people, this book–based on a popular course at Harvard University–communicates to readers some idea of the mathematical view of world, and what attracts people to math in the first place. It uses a sense of humor and lighthearted tone to give learners a positive, enjoyable experience of thinking in math, and an understanding of the increasingly important role that science and technology play in our lives. A four-part format presents readers with a fundamental introduction, shows how they can think about arithmetic in a new way–based on what they already know, introduces them to truly abstract mathematics, and teaches them about the special properties of modular arithmetic that are central to modern life. For anyone who has taken an algebra class in high school, and wants to take their understanding of math a little farther–and into everyday life. The Magic of Numbers was written with two goals in mind: first, to introduce the reader to some of the beauty of numbers–the patterns in their behavior that have fascinated mathematicians for millennia, and some surprising applications of those patterns; second, and equally important, to teach the reader something of the mathematical mode of thought: the feeling of exploration, excitement, and discovery that are part of how mathematics is developed.pThe book, written originally for the course Quantitative Reasoning 28 that the authors developed and taught at Harvard, draws the reader into the content through an engaging and informal writing style. Example-driven, it reduces to a minimum the abstract notation and formal argument that often creates a barrier between mathematicians and students, focusing more instead on the experimental aspect of the subject. Above all, the authors communicate to the reader a sense of the joy and fascination of learning mathematics.pAdditional exercises, problems, and sample exams are available at: www.prenhall.com/gross Principal topics include:ulliC@Oâ¹…¸Qì ¾Ûâ¬