Negative Math : : How Mathematical Rules Can Be Positively Bent / / Alberto A. Martínez.
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 i...
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Martínez, Alberto A., author. aut http://id.loc.gov/vocabulary/relators/aut Negative Math : How Mathematical Rules Can Be Positively Bent / Alberto A. Martínez. Princeton, NJ : Princeton University Press, [2018] ©2005 1 online resource text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Frontmatter -- Contents -- Figures -- Chapter 1: Introduction -- Chapter 2: The Problem -- Chapter 3: History: Much Ado About Less than Nothing -- Chapter 4: History: Meaningful and Meaningless Expressions -- Chapter 5: History: Making Radically New Mathematics -- Chapter 6: Math Is Rather Flexible -- Chapter 7: Making a Meaningful Math -- Notes -- Further reading -- Acknowledgments -- Index restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star 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 Issued also in print. Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 30. Aug 2021) Mathematics. Numbers, Negative. MATHEMATICS / Algebra / General. bisacsh Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Backlist 2000-2013 9783110442502 print 9780691133911 https://doi.org/10.1515/9780691187822?locatt=mode:legacy https://www.degruyter.com/isbn/9780691187822 Cover https://www.degruyter.com/cover/covers/9780691187822.jpg |
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English |
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eBook |
author |
Martínez, Alberto A., Martínez, Alberto A., |
spellingShingle |
Martínez, Alberto A., Martínez, Alberto A., Negative Math : How Mathematical Rules Can Be Positively Bent / Frontmatter -- Contents -- Figures -- Chapter 1: Introduction -- Chapter 2: The Problem -- Chapter 3: History: Much Ado About Less than Nothing -- Chapter 4: History: Meaningful and Meaningless Expressions -- Chapter 5: History: Making Radically New Mathematics -- Chapter 6: Math Is Rather Flexible -- Chapter 7: Making a Meaningful Math -- Notes -- Further reading -- Acknowledgments -- Index |
author_facet |
Martínez, Alberto A., Martínez, Alberto A., |
author_variant |
a a m aa aam a a m aa aam |
author_role |
VerfasserIn VerfasserIn |
author_sort |
Martínez, Alberto A., |
title |
Negative Math : How Mathematical Rules Can Be Positively Bent / |
title_sub |
How Mathematical Rules Can Be Positively Bent / |
title_full |
Negative Math : How Mathematical Rules Can Be Positively Bent / Alberto A. Martínez. |
title_fullStr |
Negative Math : How Mathematical Rules Can Be Positively Bent / Alberto A. Martínez. |
title_full_unstemmed |
Negative Math : How Mathematical Rules Can Be Positively Bent / Alberto A. Martínez. |
title_auth |
Negative Math : How Mathematical Rules Can Be Positively Bent / |
title_alt |
Frontmatter -- Contents -- Figures -- Chapter 1: Introduction -- Chapter 2: The Problem -- Chapter 3: History: Much Ado About Less than Nothing -- Chapter 4: History: Meaningful and Meaningless Expressions -- Chapter 5: History: Making Radically New Mathematics -- Chapter 6: Math Is Rather Flexible -- Chapter 7: Making a Meaningful Math -- Notes -- Further reading -- Acknowledgments -- Index |
title_new |
Negative Math : |
title_sort |
negative math : how mathematical rules can be positively bent / |
publisher |
Princeton University Press, |
publishDate |
2018 |
physical |
1 online resource Issued also in print. |
contents |
Frontmatter -- Contents -- Figures -- Chapter 1: Introduction -- Chapter 2: The Problem -- Chapter 3: History: Much Ado About Less than Nothing -- Chapter 4: History: Meaningful and Meaningless Expressions -- Chapter 5: History: Making Radically New Mathematics -- Chapter 6: Math Is Rather Flexible -- Chapter 7: Making a Meaningful Math -- Notes -- Further reading -- Acknowledgments -- Index |
isbn |
9780691187822 9783110442502 9780691133911 |
url |
https://doi.org/10.1515/9780691187822?locatt=mode:legacy https://www.degruyter.com/isbn/9780691187822 https://www.degruyter.com/cover/covers/9780691187822.jpg |
illustrated |
Not Illustrated |
dewey-hundreds |
500 - Science |
dewey-tens |
510 - Mathematics |
dewey-ones |
510 - Mathematics |
dewey-full |
510 |
dewey-sort |
3510 |
dewey-raw |
510 |
dewey-search |
510 |
doi_str_mv |
10.1515/9780691187822?locatt=mode:legacy |
oclc_num |
1076409492 |
work_keys_str_mv |
AT martinezalbertoa negativemathhowmathematicalrulescanbepositivelybent |
status_str |
n |
ids_txt_mv |
(DE-B1597)501761 (OCoLC)1076409492 |
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hierarchy_parent_title |
Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Backlist 2000-2013 |
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Negative Math : How Mathematical Rules Can Be Positively Bent / |
container_title |
Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Backlist 2000-2013 |
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1770176301096763392 |
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