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. |
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... Problem Oriented Approach , Daniel A. Marcus Conjecture and Proof , Miklós Laczkovich A Course in Mathematical Modeling ... Problems : Activities for Undergraduates , Charles W. Groetsch Laboratory Experiences in Group Theory , Ellen ...
... Problem Oriented Approach , Daniel A. Marcus Conjecture and Proof , Miklós Laczkovich A Course in Mathematical Modeling ... Problems : Activities for Undergraduates , Charles W. Groetsch Laboratory Experiences in Group Theory , Ellen ...
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... problems posed in the Questions , background discussions for most of the Projects , and suggested sources for further research . Many people contributed in many ways to the preparation of this extended edition . Special thanks to Otto ...
... problems posed in the Questions , background discussions for most of the Projects , and suggested sources for further research . Many people contributed in many ways to the preparation of this extended edition . Special thanks to Otto ...
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... problems , and often the crucial insights come from crossing boundaries and making connections between subjects . Part of the " big picture " is the very fact that these links between different parts of mathematics exist . Paying ...
... problems , and often the crucial insights come from crossing boundaries and making connections between subjects . Part of the " big picture " is the very fact that these links between different parts of mathematics exist . Paying ...
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... problem was not so much that they didn't understand the formal rules for how to operate with such numbers ; rather , they had trouble with the con- cept itself and with how to interpret those formal rules in a meaningful way ...
... problem was not so much that they didn't understand the formal rules for how to operate with such numbers ; rather , they had trouble with the con- cept itself and with how to interpret those formal rules in a meaningful way ...
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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