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. |
Iz vsebine knjige
Zadetki 1–5 od 54
Stran xiii
... Square and Things: Quadratic Equations................. 129 11. Intrigue in Renaissance Italy: Solving Cubic Equations..... 135 12. A Cheerful Fact: The Pythagorean Theorem................ 141 13. A Marvelous Proof: Fermat's Last ...
... Square and Things: Quadratic Equations................. 129 11. Intrigue in Renaissance Italy: Solving Cubic Equations..... 135 12. A Cheerful Fact: The Pythagorean Theorem................ 141 13. A Marvelous Proof: Fermat's Last ...
Stran 9
... square pyramid. For some shapes, all they could give were approximations. For example, the area inside a circle was approximated as follows: Take the diameter of the circle, remove “the ninth part” of it, and find the area of the square ...
... square pyramid. For some shapes, all they could give were approximations. For example, the area inside a circle was approximated as follows: Take the diameter of the circle, remove “the ninth part” of it, and find the area of the square ...
Stran 12
... square cubits make up a “bur,” this is a problem that could still appear in many a “recreational math” column – and it's still quite hard. Puzzles like this one continue to appear throughout the history of mathematics. The end of the ...
... square cubits make up a “bur,” this is a problem that could still appear in many a “recreational math” column – and it's still quite hard. Puzzles like this one continue to appear throughout the history of mathematics. The end of the ...
Stran 18
... square whose side is equal to the radius (i.e., A/r”) is always the same, regardless of the size of the circle. We now regard this ratio as a number, which we call T, and we know that it is quite a complicated number. (See Sketches 7 ...
... square whose side is equal to the radius (i.e., A/r”) is always the same, regardless of the size of the circle. We now regard this ratio as a number, which we call T, and we know that it is quite a complicated number. (See Sketches 7 ...
Stran 19
... square cannot be a ratio of any two whole numbers. They called segments of this kind incommensurable, and they called. the. ratios. between. such. segments. irrational”. (See. Sketch. 29. for. more. on incommensurability and irrational ...
... square cannot be a ratio of any two whole numbers. They called segments of this kind incommensurable, and they called. the. ratios. between. such. segments. irrational”. (See. Sketch. 29. for. more. on incommensurability and irrational ...
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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