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 52
Stran xiii
... Whole Numbers . . . . . . . . . . . . . . . . . . . 67 2. Reading and Writing Arithmetic: The Basic Symbols....... 75 3. Nothing Becomes a Number: The Story of Zero. . . . . . . . . . . . . 81 4. Broken Numbers: Writing Fractions ...
... Whole Numbers . . . . . . . . . . . . . . . . . . . 67 2. Reading and Writing Arithmetic: The Basic Symbols....... 75 3. Nothing Becomes a Number: The Story of Zero. . . . . . . . . . . . . 81 4. Broken Numbers: Writing Fractions ...
Stran 9
... whole of Egyptian mathematics from it. Still, we can say that the Egyptian mathematics of 4,000 years ago was already a fairly well-developed body of knowledge with content very similar to some of what we learn about Beginnings 9.
... whole of Egyptian mathematics from it. Still, we can say that the Egyptian mathematics of 4,000 years ago was already a fairly well-developed body of knowledge with content very similar to some of what we learn about Beginnings 9.
Stran 15
... whole tradition of mathematics in India, from the earliest stages to the late Medieval period. For extensive information about Chinese mathematics, see [161] or [152]. Papers on the notion of proof in various ancient cultures are ...
... whole tradition of mathematics in India, from the earliest stages to the late Medieval period. For extensive information about Chinese mathematics, see [161] or [152]. Papers on the notion of proof in various ancient cultures are ...
Stran 16
... whole, however, mathematics was a pursuit for those who had the means and the time – and, of course, the talent. The total number of working and creative mathematicians at any given time was probably very small, maybe a dozen or so ...
... whole, however, mathematics was a pursuit for those who had the means and the time – and, of course, the talent. The total number of working and creative mathematicians at any given time was probably very small, maybe a dozen or so ...
Stran 18
... whole numbers and the study of ratios (which they related to music). In geometry, they are, of course, credited with the Pythagorean Theorem. (See Sketch 12.) It is likely, however, that the most important success often credited to the ...
... whole numbers and the study of ratios (which they related to music). In geometry, they are, of course, credited with the Pythagorean Theorem. (See Sketch 12.) It is likely, however, that the most important success often credited to the ...
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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