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 48
Stran 8
... side, extensive tables that were used as aids to computation (particularly multiplication) and, on the other side, a collection of problems probably used in the training of scribes. The examples cover a wide range of mathematical ideas ...
... side, extensive tables that were used as aids to computation (particularly multiplication) and, on the other side, a collection of problems probably used in the training of scribes. The examples cover a wide range of mathematical ideas ...
Stran 9
... side length. In our terms, this says that the area inside a circle of diameter d is (# d)”, which is actually a pretty good approximation. (See Sketch 7.) The Rhind Papyrus was used to train young scribes, so it is a bit hazardous to ...
... side length. In our terms, this says that the area inside a circle of diameter d is (# d)”, which is actually a pretty good approximation. (See Sketch 7.) The Rhind Papyrus was used to train young scribes, so it is a bit hazardous to ...
Stran 12
... human perversity. Just after the Imperial unification. *This text is a lightly modernized form of a translation given in [120), page 30. A circle of radius r and a square with side. 12 The History of Mathematics in a Large Nutshell.
... human perversity. Just after the Imperial unification. *This text is a lightly modernized form of a translation given in [120), page 30. A circle of radius r and a square with side. 12 The History of Mathematics in a Large Nutshell.
Stran 17
... sides of similar triangles are proportional, and a circle is bisected by any of its diameters. Later Greek authors told many stories about Pythagoras. The legends center on a semi-religious society called the Pythagorean Brotherhood ...
... sides of similar triangles are proportional, and a circle is bisected by any of its diameters. Later Greek authors told many stories about Pythagoras. The legends center on a semi-religious society called the Pythagorean Brotherhood ...
Stran 18
... 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 and 29.) *Of ...
... 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 and 29.) *Of ...
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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