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 57
Stran xi
... Arithmetic Where the Symbols Came From ... 73 3. Nothing Becomes a Number The Story of Zero .... 79 4. Broken Numbers Writing Fractions .. 5. Something Less Than Nothing ? Negative Numbers .... 6. By Tens and Tenths Metric Measurement ...
... Arithmetic Where the Symbols Came From ... 73 3. Nothing Becomes a Number The Story of Zero .... 79 4. Broken Numbers Writing Fractions .. 5. Something Less Than Nothing ? Negative Numbers .... 6. By Tens and Tenths Metric Measurement ...
Stran xii
... Arithmetic of Reasoning 25. Beyond Counting Electronic Computers .. Logic and Boolean Algebra .. Infinity and the Theory of Sets ..... ..223 ... 231 ..237 What to Read Next ... 245 The Reference Shelf ... .245 Fifteen Historical Books ...
... Arithmetic of Reasoning 25. Beyond Counting Electronic Computers .. Logic and Boolean Algebra .. Infinity and the Theory of Sets ..... ..223 ... 231 ..237 What to Read Next ... 245 The Reference Shelf ... .245 Fifteen Historical Books ...
Stran 1
... arithmetic always worked the way you learned it in school ? Could it work any other way ? Who thought up all those rules of algebra , and why did they do it ? What about the facts and proofs of geometry ? Mathematics is an ongoing human ...
... arithmetic always worked the way you learned it in school ? Could it work any other way ? Who thought up all those rules of algebra , and why did they do it ? What about the facts and proofs of geometry ? Mathematics is an ongoing human ...
Stran 2
... arithmetic progression , the teacher tells a story about Carl Friedrich Gauss . When he was about 10 years old ( some versions of the story say 7 ) , Gauss's teacher gave the class a long assignment , apparently to carve out some peace ...
... arithmetic progression , the teacher tells a story about Carl Friedrich Gauss . When he was about 10 years old ( some versions of the story say 7 ) , Gauss's teacher gave the class a long assignment , apparently to carve out some peace ...
Stran 3
... arithmetic , but it does embed arithmetic in a meaningful context right from the beginning . It also makes us think of the roles mathematics still plays in running governments . Collecting statistical data , for example , is something ...
... arithmetic , but it does embed arithmetic in a meaningful context right from the beginning . It also makes us think of the roles mathematics still plays in running governments . Collecting statistical data , for example , is something ...
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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Pogosti izrazi in povedi
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