Math Through the Ages: A Gentle History for Teachers and OthersCourier Dover Publications, 20. mar. 2019 - 272 strani "This is a beautiful, important book, a pleasure to read, in which the history recounted truly illuminates the mathematical ideas, and the ideas themselves are superbly explained; a wonderful accomplishment." — Barry Mazur, Harvard University "Math Through the Ages is a treasure, one of the best history of math books at its level ever written. Somehow, it manages to stay true to a surprisingly sophisticated story, while respecting the needs of its audience. Its overview of the subject captures most of what one needs to know, and the 30 sketches are small gems of exposition that stimulate further exploration." — Glen Van Brummelen, Quest University Designed for students just beginning their study of the discipline, this concise introductory history of mathematics is supplemented by brief but in-depth sketches of the more important individual topics. Covering such subjects as algebra symbols, negative numbers, the metric system, quadratic equations, and much more, this widely adopted work invites and encourages further study of mathematics. |
Iz vsebine knjige
Zadetki 1–5 od 51
Stran ix
... Arithmetic: The Basic Symbols . . . . . . . 69 3. Nothing Becomes a Number: The Story of Zero. . . . . . . . . . . . . 73 4. Broken Numbers: Writing Fractions . . . . . . . . . . . . . . . . . . . . . . . . 77 5. Less Than Nothing ...
... Arithmetic: The Basic Symbols . . . . . . . 69 3. Nothing Becomes a Number: The Story of Zero. . . . . . . . . . . . . 73 4. Broken Numbers: Writing Fractions . . . . . . . . . . . . . . . . . . . . . . . . 77 5. Less Than Nothing ...
Stran x
... Arithmetic of Reasoning: Boolean Algebra . . . . . . . . . . . . . 183 25. Beyond Counting: Infinity and the Theory of Sets . . . . . . . . . . 187 26. Out of the Shadows: The Tangent Function . . . . . . . . . . . . . . . . . 193 27 ...
... Arithmetic of Reasoning: Boolean Algebra . . . . . . . . . . . . . 183 25. Beyond Counting: Infinity and the Theory of Sets . . . . . . . . . . 187 26. Out of the Shadows: The Tangent Function . . . . . . . . . . . . . . . . . 193 27 ...
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 ...
... 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 ...
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 and ...
... 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 and ...
Stran 3
... arithmetic progression that involved much larger numbers, but overall the account above is likely not too far off ... arithmetic, but it does embed arithmetic in a meaningful context right from the beginning. It also makes us think of ...
... arithmetic progression that involved much larger numbers, but overall the account above is likely not too far off ... arithmetic, but it does embed arithmetic in a meaningful context right from the beginning. It also makes us think of ...
Vsebina
1 | |
Sketches | 63 |
Coordinate Geometry | 137 |
Complex Numbers | 143 |
Sine and Cosine | 149 |
The NonEuclidean Geometries | 155 |
Projective Geometry | 161 |
The Start of Probability Theory | 165 |
The Tangent Function | 193 |
Logarithms | 199 |
Conic Sections | 205 |
Irrational Numbers | 211 |
Barely Touching From Tangents to Derivatives | 217 |
What to Read Next | 223 |
Twelve Historical Books You Ought to Read | 226 |
History Online | 228 |
Statistics Becomes a Science | 171 |
Electronic Computers | 177 |
Boolean Algebra | 183 |
Infinity and the Theory of Sets | 187 |
When They Lived | 231 |
Bibliography | 237 |
Index | 251 |
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19th century al-Khwärizmi algebra ancient angle Arabic areas arithmetic astronomers Babylonian basic became began Bhāskara II Bombelli calculus called Cantor Cardano century A.D. chord circle Closer Look complex numbers conic sections cube cubic equations curve decimal Descartes developed Diophantus Display early ematics equal Euclid Euclid's Elements Euler European example fact famous Fermat Fermat's Last Theorem formula fractions geometry Greek mathematicians Greek mathematics history of mathematics important Indian infinite interesting invented known Latin Leibniz length Leonhard Euler line segment logarithms logical math mathematical ideas meter method modern negative numbers notation Parallel Postulate plane powers probably problems projective geometry proof prove published Pythagorean Pythagorean Theorem quantities questions radius ratio real numbers scholars side sine Sketch solution solve square root story symbols tangent Tartaglia texts theorem theory things tion tradition translated triangles trigonometry whole numbers words writing written wrote zero