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 32
Stran 3
... kind of number that initially seems so strange to students. Most mathematics arises from trying to solve problems. Often the crucial insights come from crossing boundaries and making connections between subjects. Part of the “big ...
... kind of number that initially seems so strange to students. Most mathematics arises from trying to solve problems. Often the crucial insights come from crossing boundaries and making connections between subjects. Part of the “big ...
Stran 12
... kind of problem was on hand, the scribes seemed to revel in constructing more and more elaborate problems that could be solved by that method. Keep in mind, however, that most of what we have are tablets for training young Scribes; we ...
... kind of problem was on hand, the scribes seemed to revel in constructing more and more elaborate problems that could be solved by that method. Keep in mind, however, that most of what we have are tablets for training young Scribes; we ...
Stran 17
... 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. They exercised to keep physically fit, had periods of silent ...
... 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. They exercised to keep physically fit, had periods of silent ...
Stran 19
... kind incommensurable, and they called. the. ratios. between. such. segments. irrational”. (See. Sketch. 29. for. more. on incommensurability and irrational numbers.) By the time of the philosophers Plato and Aristotle, knowing about the ...
... kind incommensurable, and they called. the. ratios. between. such. segments. irrational”. (See. Sketch. 29. for. more. on incommensurability and irrational numbers.) By the time of the philosophers Plato and Aristotle, knowing about the ...
Stran 23
... kind of “collected works” that includes original work, commentaries on earlier work, and summaries of the works of other mathematicians. Perhaps the most important part of Pappus's work, from a historical point of view, was his ...
... kind of “collected works” that includes original work, commentaries on earlier work, and summaries of the works of other mathematicians. Perhaps the most important part of Pappus's work, from a historical point of view, was his ...
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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