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 81
Stran viii
... facts as they are known today . Nevertheless , history is far from an exact science , and incomplete or conflicting sources often lead to conflicting judgments of fact among scholars . Some stories about mathematical people and events ...
... facts as they are known today . Nevertheless , history is far from an exact science , and incomplete or conflicting sources often lead to conflicting judgments of fact among scholars . Some stories about mathematical people and events ...
Stran xii
... Fact The Pythagorean Theorem 13. A Marvelous Proof Fermat's Last Theorem ... 133 139 147 14. On Beauty Bare Euclid's Plane Geometry 155 15. In Perfect Shape The Platonic Solids .... ..163 16. Shapes by the Numbers Coordinate Geometry ...
... Fact The Pythagorean Theorem 13. A Marvelous Proof Fermat's Last Theorem ... 133 139 147 14. On Beauty Bare Euclid's Plane Geometry 155 15. In Perfect Shape The Platonic Solids .... ..163 16. Shapes by the Numbers Coordinate Geometry ...
Stran 1
... facts and proofs of geometry ? Mathematics is an ongoing human endeavor , like literature , physics , art , economics , or music . It has a past and a future , as well as a present . The mathematics we learn and use today is in many ...
... facts and proofs of geometry ? Mathematics is an ongoing human endeavor , like literature , physics , art , economics , or music . It has a past and a future , as well as a present . The mathematics we learn and use today is in many ...
Stran 3
... fact that these links between different parts of mathematics exist . Paying attention to history is a way of being aware of these links , and using history in class can help students become aware of them . History often helps by adding ...
... fact that these links between different parts of mathematics exist . Paying attention to history is a way of being aware of these links , and using history in class can help students become aware of them . History often helps by adding ...
Stran 4
... fact , this was the subject of a study sponsored by the International Commission on Mathematical Instruction ( ICMI ) . The results of the study were published in [ 55 ] . This is not an easy read , but it contains lots of interesting ...
... fact , this was the subject of a study sponsored by the International Commission on Mathematical Instruction ( ICMI ) . The results of the study were published in [ 55 ] . This is not an easy read , but it contains lots of interesting ...
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