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Book by Martnez Alberto A
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"Alberto A. Martinez ... shows that the concept of negative numbers has perplexed not just young students but also quite a few notable mathematicians... The rule that minus times minus makes plus is not in fact grounded in some deep and immutable law of nature. Martinez shows that it's possible to construct a fully consistent system of arithmetic in which minus times minus makes minus. It's a wonderful vindication for the obstinate smart-aleck kid in the back of the class."--Greg Ross, American Scientist "Alberto Martinez ... has written an entire book about the fact that the product of two negative numbers is considered positive. He begins by reminding his readers that it need not be so... The book is written in a relaxed, conversational manner... It can be recommended to anyone with an interest in the way algebra was developed behind the scenes, at a time when calculus and analytic geometry were the main focus of mathematical interest."--James Case, SIAM News "[Negative Math] is very readable and the style is entertaining. Much is done through examples rather than formal proofs. The writer avoids formal mathematical logic and the more esoteric abstract algebras such as group theory."--Mathematics Magazine
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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
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- VerlagPrinceton University Press
- Erscheinungsdatum2005
- ISBN 10 0691123098
- ISBN 13 9780691123097
- EinbandTapa dura
- SpracheEnglisch
- Anzahl der Seiten288
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Negative Math: How Mathematical Rules Can Be Positively Bent
Verlag:
Princeton University Press, 2005
ISBN 10: 0691123098
ISBN 13: 9780691123097
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Negative Math : How Mathematical Rules Can Be Positively Bent
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Princeton University Press, 2005
ISBN 10: 0691123098
ISBN 13: 9780691123097
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Negative Math : How Mathematical Rules Can Be Positively Bent
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Princeton University Press, 2005
ISBN 10: 0691123098
ISBN 13: 9780691123097
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Negative Math â" How Mathematical Rules Can Be Positively Bent
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Princeton University Press, 2005
ISBN 10: 0691123098
ISBN 13: 9780691123097
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Negative Math: How Mathematical Rules Can Be Positively Bent
Verlag:
Princeton University Press, 2005
ISBN 10: 0691123098
ISBN 13: 9780691123097
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Hardcover. Zustand: Very Good. Negative Math: How Mathematical Rules Can Be Positively Bent This book is in very good condition and will be shipped within 24 hours of ordering. The cover may have some limited signs of wear but the pages are clean, intact and the spine remains undamaged. This book has clearly been well maintained and looked after thus far. Money back guarantee if you are not satisfied. See all our books here, order more than 1 book and get discounted shipping. . Artikel-Nr. 7719-9780691123097
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Gebundene Ausgabe. 267 S. Schutzumschlag etw. berieben u. bestaubt, Buchschnitt etw. bestaubt L026 9780691123097 *.* Sprache: Englisch Gewicht in Gramm: 540. Artikel-Nr. 255934
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