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 90
Stran xi
... Numbers .. 65 2. Reading and Writing 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 ...
... Numbers .. 65 2. Reading and Writing 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 ...
Stran xii
... Numbers Coordinate Geometry ... ..169 17. Impossible , Imaginary , Useful Complex Numbers ... ..177 18. Half Is Better Sine and Cosine 185 19. Strange New Worlds The Non - Euclidean Geometries .. . 193 20. In the Eye of the Beholder ...
... Numbers Coordinate Geometry ... ..169 17. Impossible , Imaginary , Useful Complex Numbers ... ..177 18. Half Is Better Sine and Cosine 185 19. Strange New Worlds The Non - Euclidean Geometries .. . 193 20. In the Eye of the Beholder ...
Stran 2
... numbers from 1 to 100 . The class started working away on their slates , but young Gauss simply wrote 5050 on his slate and said " There it is . " The astonished teacher assumed Gauss had simply guessed , and , not knowing the right ...
... numbers from 1 to 100 . The class started working away on their slates , but young Gauss simply wrote 5050 on his slate and said " There it is . " The astonished teacher assumed Gauss had simply guessed , and , not knowing the right ...
Stran 3
... numbers , explains why mathematicians were led to invent this new kind of number that initially seems so strange to students . Most mathematicians work on a variety of problems , and often the crucial insights come from crossing ...
... numbers , explains why mathematicians were led to invent this new kind of number that initially seems so strange to students . Most mathematicians work on a variety of problems , and often the crucial insights come from crossing ...
Stran 4
... numbers were discovered , mathematicians still found them difficult to deal with . The 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 ...
... numbers were discovered , mathematicians still found them difficult to deal with . The 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 ...
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