Math Through the Ages: A Gentle History for Teachers and OthersMAA, 9. sep. 2004 - 273 strani Where did maths come from? Who thought up all those algebra symbols, and why? What's the story behind ... negative numbers? ... the metric system? ... quadratic equations? ... sine and cosine? The 25 independent sketches in Math through the Ages answer these questions and many others in an informal, easygoing style that's accessible to teachers, students, and anyone who is curious about the history of mathematical ideas. Each sketch contains Questions and Projects to help you learn more about its topic and to see how its main ideas fit into the bigger picture of history. The 25 short stories are preceded by a 56-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. Reading suggestions after each sketch provide starting points for readers who want to pursue a topic further. |
Iz vsebine knjige
Zadetki 1–5 od 42
Stran viii
... sources often lead to conflicting judgments of fact among scholars . Some stories about mathematical people and events have evolved over many years , creating a body of " folklore " with very little hard documentary evidence to support ...
... sources often lead to conflicting judgments of fact among scholars . Some stories about mathematical people and events have evolved over many years , creating a body of " folklore " with very little hard documentary evidence to support ...
Stran x
... sources for further research . Many people contributed in many ways to the preparation of this extended edition . Special thanks to Otto Bretscher ( Mathematics , Colby College ) , Zaven Karian ( CRM editorial board , MAA ) , Sarah Ma ...
... sources for further research . Many people contributed in many ways to the preparation of this extended edition . Special thanks to Otto Bretscher ( Mathematics , Colby College ) , Zaven Karian ( CRM editorial board , MAA ) , Sarah Ma ...
Stran 2
... sources , with all sorts of variations . The sum is some- times another , more complicated , arithmetic progression . The foolish- ness of the teacher is sometimes accentuated by including elaborate accounts of his reaction to Gauss's ...
... sources , with all sorts of variations . The sum is some- times another , more complicated , arithmetic progression . The foolish- ness of the teacher is sometimes accentuated by including elaborate accounts of his reaction to Gauss's ...
Stran 3
... 5 for the details ) . For a 1 Several sources for further stories of this kind are mentioned in our " What to Read Next " section . long time after the basic ideas about negative numbers were History in the Mathematics Classroom 3.
... 5 for the details ) . For a 1 Several sources for further stories of this kind are mentioned in our " What to Read Next " section . long time after the basic ideas about negative numbers were History in the Mathematics Classroom 3.
Stran 4
... source of student activities . It can be as simple as asking students to research the life of a mathematician , or as ... sources . These are all ways of increasing student ownership of the mathematics by getting them actively involved ...
... source of student activities . It can be as simple as asking students to research the life of a mathematician , or as ... sources . These are all ways of increasing student ownership of the mathematics by getting them actively involved ...
Vsebina
III | 5 |
IV | 6 |
V | 14 |
VI | 24 |
VII | 28 |
VIII | 32 |
IX | 35 |
X | 37 |
XXXIV | 133 |
XXXVI | 139 |
XXXVII | 147 |
XL | 155 |
XLII | 163 |
XLIV | 169 |
XLVI | 177 |
XLVIII | 185 |
XI | 42 |
XII | 47 |
XIII | 53 |
XIV | 59 |
XV | 65 |
XVII | 73 |
XIX | 79 |
XXI | 85 |
XXIII | 93 |
XXIV | 101 |
XXVI | 107 |
XXVIII | 113 |
XXX | 121 |
XXXII | 127 |
L | 193 |
LII | 201 |
LIV | 207 |
LVI | 215 |
LVIII | 223 |
LX | 231 |
LXII | 237 |
LXIV | 245 |
LXVI | 248 |
LXVII | 250 |
253 | |
262 | |
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19th century Al-Khwarizmī algebra ancient Archimedean solids arithmetic astronomy Babylonian basic became began Bombelli calculate called Cantor's Cardano chord circle complex numbers cube cubic equations cultures decimal Descartes developed digits Diophantus Display early Egyptian ematics equal Euclid Euclid's Euclid's Elements Euler Europe example explain fact famous Fermat Fermat's Last Theorem formula fractions geometry Greek mathematicians Greek mathematics Hindu-Arabic history of mathematics ideas important India infinite interesting Latin length Leonhard Euler line segment logical math Mathematical Association measure method modern multiply negative numbers non-Euclidean non-Euclidean geometry notation Parallel Postulate plane Platonic Solids probability problems Projects proof prove Pythagorean Theorem quantities questions radius ratio says scholars side sine Sketch solution solve square root statistics story subtraction symbols Tartaglia texts theory things tion tradition translated triangles trigonometry unit University whole numbers words written wrote York zero