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 42
Stran xiv
... . . . . . . 247 27. Counting Ratios: Logarithms............................... 255 28. Any Way You Slice It: Conic Sections . . . . . . . . . . . . . . . . . . . . . . 263 29. Beyond the Pale: Irrational Numbers....................... 271 ...
... . . . . . . 247 27. Counting Ratios: Logarithms............................... 255 28. Any Way You Slice It: Conic Sections . . . . . . . . . . . . . . . . . . . . . . 263 29. Beyond the Pale: Irrational Numbers....................... 271 ...
Stran 16
... ratios, astronomy, and mechanics. The latter two were treated very much in geometric and theoretical style. There was no sharp dividing line between “pure” and “applied” mathematics. (In fact, that distinction dates back only to the ...
... ratios, astronomy, and mechanics. The latter two were treated very much in geometric and theoretical style. There was no sharp dividing line between “pure” and “applied” mathematics. (In fact, that distinction dates back only to the ...
Stran 18
... ratio between two circles is the same as the ratio between two squares with sides equal to the radii of the circles. In our language we would say “the areas of two circles” and “the areas of two squares.” We would probably also use ...
... ratio between two circles is the same as the ratio between two squares with sides equal to the radii of the circles. In our language we would say “the areas of two circles” and “the areas of two squares.” We would probably also use ...
Stran 19
... ratio is 2 to 1. Similarly, it is easy to understand what is meant by two segments whose ratio is 3 to 2. The great insight of the Pythagoreans was to see that the ratio of two segments will not always be that simple. In fact, they ...
... ratio is 2 to 1. Similarly, it is easy to understand what is meant by two segments whose ratio is 3 to 2. The great insight of the Pythagoreans was to see that the ratio of two segments will not always be that simple. In fact, they ...
Stran 20
... ratios (twice, in fact; once for magnitudes and once for whole numbers), and develops a complicated classification of quadratic irrational ratios. The Elements brings together in one place the main accomplishments of Greek mathematics ...
... ratios (twice, in fact; once for magnitudes and once for whole numbers), and develops a complicated classification of quadratic irrational ratios. The Elements brings together in one place the main accomplishments of Greek mathematics ...
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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