Math through the Ages: A Gentle History for Teachers and Others Expanded Second EditionAmerican Mathematical Soc., 5. maj 2020 - 331 strani `Math through the Ages' is a treasure, one of the best history of math books at its level ever written. Somehow, it manages to stay true to a surprisingly sophisticated story, while respecting the needs of its audience. Its overview of the subject captures most of what one needs to know, and the 30 sketches are small gems of exposition that stimulate further exploration. --Glen van Brummelen, Quest University, President (2012-14) of the Canadian Society for History and Philosophy of Mathematics Where did math come from? Who thought up all those algebra symbols, and why? What is the story behind $pi$? ... negative numbers? ... the metric system? ... quadratic equations? ... sine and cosine? ... logs? The 30 independent historical sketches in Math through the Ages answer these questions and many others in an informal, easygoing style that is accessible to teachers, students, and anyone who is curious about the history of mathematical ideas. Each sketch includes Questions and Projects to help you learn more about its topic and to see how the main ideas fit into the bigger picture of history. The 30 short stories are preceded by a 58-page bird's-eye overview of the entire panorama of mathematical history, a whirlwind tour of the most important people, events, and trends that shaped the mathematics we know today. ``What to Read Next'' and reading suggestions after each sketch provide starting points for readers who want to learn more. This book is ideal for a broad spectrum of audiences, including students in history of mathematics courses at the late high school or early college level, pre-service and in-service teachers, and anyone who just wants to know a little more about the origins of mathematics. |
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Zadetki 1–5 od 60
Stran x
... symbols for Egyptian and Babylonian numerals, and to Michael Vulis for converting them to PostScript format; to Robert Washburn of Southern Connecticut State University for providing some of the material in Sketch 6; and to Eleanor ...
... symbols for Egyptian and Babylonian numerals, and to Michael Vulis for converting them to PostScript format; to Robert Washburn of Southern Connecticut State University for providing some of the material in Sketch 6; and to Eleanor ...
Stran xiii
... Symbols....... 75 3. Nothing Becomes a Number: The Story of Zero. . . . . . . . . . . . . 81 4. Broken Numbers: Writing Fractions . . . . . . . . . . . . . . . . . . . . . . . . 87 5. Less Than Nothing?: Negative Numbers ...
... Symbols....... 75 3. Nothing Becomes a Number: The Story of Zero. . . . . . . . . . . . . 81 4. Broken Numbers: Writing Fractions . . . . . . . . . . . . . . . . . . . . . . . . 87 5. Less Than Nothing?: Negative Numbers ...
Stran 9
... symbols for various powers of ten. Multiples of a particular power were shown by repeating the Symbol as many times as needed. For instance, and sh stood for one and ten, respectively, so 57 was represented by shsh sh sh sil ...
... symbols for various powers of ten. Multiples of a particular power were shown by repeating the Symbol as many times as needed. For instance, and sh stood for one and ten, respectively, so 57 was represented by shsh sh sh sil ...
Stran 11
... symbol and a tens symbol were used to denote the numbers 1 through 59. The positions of these groups of symbols relative to each other indicated whether they stood for units or 60s or 60°s, etc. (See Sketch 1.) • They made use of ...
... symbol and a tens symbol were used to denote the numbers 1 through 59. The positions of these groups of symbols relative to each other indicated whether they stood for units or 60s or 60°s, etc. (See Sketch 1.) • They made use of ...
Stran 17
... symbol. They believed in a sort of reincarnation and developed a kind of number mysticism, a belief that numbers were the secret principle of reality. Each day followed a common, simple regimen designed to strengthen both mind and body ...
... symbol. They believed in a sort of reincarnation and developed a kind of number mysticism, a belief that numbers were the secret principle of reality. Each day followed a common, simple regimen designed to strengthen both mind and body ...
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1 | |
5 | |
Sketches | 67 |
What to Read Next | 287 |
When They Lived | 295 |
Bibliography | 301 |
Index | 319 |
About the Authors | 333 |
Back cover | 334 |
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