A student in class asks the math teacher: "Shouldn't minus times minus make minus?" Teachers soon convince most students that it does not. Yet the innocent question brings with it a germ of mathematical creativity. What happens if we encourage that thought, odd and ungrounded though it may seem? Few books in the field of mathematics encourage such creative thinking. Fewer still are engagingly written and fun to read. This book succeeds on both counts. Alberto Martinez shows us how many of the mathematical concepts that we ...
Read More
A student in class asks the math teacher: "Shouldn't minus times minus make minus?" Teachers soon convince most students that it does not. Yet the innocent question brings with it a germ of mathematical creativity. What happens if we encourage that thought, odd and ungrounded though it may seem? Few books in the field of mathematics encourage such creative thinking. Fewer still are engagingly written and fun to read. This book succeeds on both counts. Alberto Martinez shows us how many of the mathematical concepts that we take for granted were once considered contrived, imaginary, absurd, or just plain wrong. Even today, he writes, not all parts of math correspond to things, relations, or operations that we can actually observe or carry out in everyday life. Negative Math ponders such issues by exploring controversies in the history of numbers, especially the so-called negative and "impossible" numbers. It uses history, puzzles, and lively debates to demonstrate how it is still possible to devise new artificial systems of mathematical rules. In fact, the book contends, departures from traditional rules can even be the basis for new applications. For example, by using an algebra in which minus times minus makes minus, mathematicians can describe curves or trajectories that are not represented by traditional coordinate geometry. Clear and accessible, Negative Math expects from its readers only a passing acquaintance with basic high school algebra. It will prove pleasurable reading not only for those who enjoy popular math, but also for historians, philosophers, and educators. Key Features? Uses history, puzzles, and lively debates to devise new mathematical systems Shows how departures from rules can underlie new practical applications Clear and accessible Requires a background only in basic high school algebra
Read Less
Choose your shipping method in Checkout. Costs may vary based on destination.
Seller's Description:
Very good in very good dust jacket. Ex-library. Sewn binding. Cloth over boards. With dust jacket. 267 p. Contains: Illustrations. Audience: General/trade. LCCN 2005043377 Type of material Book Personal name Martinez, Alberto A. Main title Negative math: how mathematical rules can be positively bent / Alberto A. Marti?nez. Published/Created Princeton, N.J. : Princeton University Press, c2006. Description x, 267 p. : ill.; 24 cm. ISBN 0691123098 (alk. paper) 9780691123097 (alk. paper) LC classification QA155. M28 2006 Subjects Mathematics. Numbers, Negative. Notes "An easy introduction to the study of developing algebraic rules to describe relations among things." Includes bibliographical references (p. [249]-258) and index. Dewey class no. 510 Other system no. (OCoLC)ocm58451665 (OCoLC)58451665
