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 59
Stran xiii
... Arithmetic: The Basic Symbols....... 75 3. Nothing Becomes a Number: The Story of Zero. . . . . . . . . . . . . 81 4. Broken Numbers: Writing Fractions . . . . . . . . . . . . . . . . . . . . . . . . 87 5. Less Than Nothing?: Negative ...
... Arithmetic: The Basic Symbols....... 75 3. Nothing Becomes a Number: The Story of Zero. . . . . . . . . . . . . 81 4. Broken Numbers: Writing Fractions . . . . . . . . . . . . . . . . . . . . . . . . 87 5. Less Than Nothing?: Negative ...
Stran xiv
... Arithmetic of Reasoning: Boolean Algebra............. 233 25. Beyond Counting: Infinity and the Theory of Sets .......... 239 26. Out of the Shadows: The Tangent Function. . . . . . . . . . . . . . . . . 247 27. Counting Ratios ...
... Arithmetic of Reasoning: Boolean Algebra............. 233 25. Beyond Counting: Infinity and the Theory of Sets .......... 239 26. Out of the Shadows: The Tangent Function. . . . . . . . . . . . . . . . . 247 27. Counting Ratios ...
Stran 1
... arithmetic always. \. |. \. |. worked the way you learned it in school? Could it work any other way? Who thought up all those rules of algebra, and why did they do it? What about the facts and proofs of geometry? Mathematics is an ongoing ...
... arithmetic always. \. |. \. |. worked the way you learned it in school? Could it work any other way? Who thought up all those rules of algebra, and why did they do it? What about the facts and proofs of geometry? Mathematics is an ongoing ...
Stran 2
... arithmetic progression, the teacher tells a story about Carl Friedrich Gauss. When he was about 10 years old (some versions of the story say 7), Gauss's teacher gave the class a long assignment, apparently to carve out some peace and ...
... arithmetic progression, the teacher tells a story about Carl Friedrich Gauss. When he was about 10 years old (some versions of the story say 7), Gauss's teacher gave the class a long assignment, apparently to carve out some peace and ...
Stran 3
... arithmetic, but it does embed arithmetic in a meaningful context right from the beginning. It also makes us think of the roles mathematics still plays in running governments. Collecting statistical data, for example, is something that ...
... arithmetic, but it does embed arithmetic in a meaningful context right from the beginning. It also makes us think of the roles mathematics still plays in running governments. Collecting statistical data, for example, is something that ...
Vsebina
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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