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 80
Stran 4
... ratio . Does his data fit a 3 : 1 ? [ 346- ( 3 × 106 ) ] 2 3 X 452 X2 = X2 = ( 346-318 ) 2 1,356 ( 28 ) 2 784 0.578 1,356 1,356 This falls between probability levels 0.50 and 0.30 in the X2 table ; there- fore the observed ratio fits a ...
... ratio . Does his data fit a 3 : 1 ? [ 346- ( 3 × 106 ) ] 2 3 X 452 X2 = X2 = ( 346-318 ) 2 1,356 ( 28 ) 2 784 0.578 1,356 1,356 This falls between probability levels 0.50 and 0.30 in the X2 table ; there- fore the observed ratio fits a ...
Stran 7
... RATIOS ARRANGED ON THE DIFFERENTIAL MONTHLY BASIS The Month Average Ratio of 11.67 * ( Weighted average based on 10 years , 1907 - '16 , incl . ) Average Ratio of 12.0 ** Average Ratio of 13.3 *** Average Ratio of 14.3 **** January 11.0 ...
... RATIOS ARRANGED ON THE DIFFERENTIAL MONTHLY BASIS The Month Average Ratio of 11.67 * ( Weighted average based on 10 years , 1907 - '16 , incl . ) Average Ratio of 12.0 ** Average Ratio of 13.3 *** Average Ratio of 14.3 **** January 11.0 ...
Stran 2
... ratio follows and this provides an interesting introduction to the remainder of this book . Golden rectangles The unique properties of the golden ratio were first considered in the context of dividing a line into two segments . If the ...
... ratio follows and this provides an interesting introduction to the remainder of this book . Golden rectangles The unique properties of the golden ratio were first considered in the context of dividing a line into two segments . If the ...
Stran 9
... ratio derivation for each of the use categories in the expected category spectrum , including therein not only one family and multifamily resi- dential , but also " few sales " types , such ... Ratio Findings Contained in State Ratio Studies.
... ratio derivation for each of the use categories in the expected category spectrum , including therein not only one family and multifamily resi- dential , but also " few sales " types , such ... Ratio Findings Contained in State Ratio Studies.
Stran 4
... ratio , or in a Golden Ratio . Who could have guessed that this innocent - looking line division , which Euclid defined for some purely geometrical purposes , would have consequences in topics ranging from leaf arrangements in botany to ...
... ratio , or in a Golden Ratio . Who could have guessed that this innocent - looking line division , which Euclid defined for some purely geometrical purposes , would have consequences in topics ranging from leaf arrangements in botany to ...
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 | |
Druge izdaje - Prikaži vse
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