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 8
... 19th century archaeologist who brought it to England. It dates back to about 1650 B.C. The papyrus contains, on one side, extensive tables that were used as aids to computation (particularly multiplication) and, on the other side, a ...
... 19th century archaeologist who brought it to England. It dates back to about 1650 B.C. The papyrus contains, on one side, extensive tables that were used as aids to computation (particularly multiplication) and, on the other side, a ...
Stran 14
... 19th century. The original Nine Chapters contains only problems and Solutions, but Liu Hui's commentary often gives justifications for the rules used to solve the problems. These are not formal proofs based on axioms, but they are ...
... 19th century. The original Nine Chapters contains only problems and Solutions, but Liu Hui's commentary often gives justifications for the rules used to solve the problems. These are not formal proofs based on axioms, but they are ...
Stran 16
... 19th century.) Most Greek mathematicians had little interest in practical arithmetic or in the problems of actually measuring lengths and areas. These issues only came to the fore relatively late (for example, during the 1st century ...
... 19th century.) Most Greek mathematicians had little interest in practical arithmetic or in the problems of actually measuring lengths and areas. These issues only came to the fore relatively late (for example, during the 1st century ...
Stran 21
... centuries. The systematic and ordered presentation of mathematical results that we see in the Elements is only one part of the Greek tradition. Another important component ... 19th century. Some Greek mathematicians knew Greek Mathematics 21.
... centuries. The systematic and ordered presentation of mathematical results that we see in the Elements is only one part of the Greek tradition. Another important component ... 19th century. Some Greek mathematicians knew Greek Mathematics 21.
Stran 22
William P. Berlinghoff, Fernando Q. Gouvea. not proved until the 19th century. Some Greek mathematicians knew (or suspected) this too, though they could not prove it. For example, Pappus (writing ca. 320 A.D.) criticizes a proposed ruler ...
William P. Berlinghoff, Fernando Q. Gouvea. not proved until the 19th century. Some Greek mathematicians knew (or suspected) this too, though they could not prove it. For example, Pappus (writing ca. 320 A.D.) criticizes a proposed ruler ...
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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