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 40
Stran 8
... side, extensive tables that were used as aids to computation (particularly multiplication) and, on the other side, a collection of problems probably used in the training of scribes. The examples cover a wide range of mathematical ideas ...
... side, extensive tables that were used as aids to computation (particularly multiplication) and, on the other side, a collection of problems probably used in the training of scribes. The examples cover a wide range of mathematical ideas ...
Stran 9
... side length. In our terms, this says that the area inside a circle of diameter d is. (;. d)*, which is actually a pretty good approximation. (See Sketch 7.) The Rhind Papyrus was used to train young scribes, so it is a bit hazardous to ...
... side length. In our terms, this says that the area inside a circle of diameter d is. (;. d)*, which is actually a pretty good approximation. (See Sketch 7.) The Rhind Papyrus was used to train young scribes, so it is a bit hazardous to ...
Stran 17
... sides of similar triangles are proportional, and a circle is bisected by any of its diameters. Later Greek authors told many stories about Pythagoras. The legends center on a semi-religious society called the Pythagorean Brotherhood ...
... sides of similar triangles are proportional, and a circle is bisected by any of its diameters. Later Greek authors told many stories about Pythagoras. The legends center on a semi-religious society called the Pythagorean Brotherhood ...
Stran 18
... sides equal to the radii of the circles. In our language we would say “the areas of two circles and “the areas of two ... side is equal to the radius (i.e., A/r.”) is always the same, regardless of the size of the circle. We now regard ...
... sides equal to the radii of the circles. In our language we would say “the areas of two circles and “the areas of two ... side is equal to the radius (i.e., A/r.”) is always the same, regardless of the size of the circle. We now regard ...
Stran 19
... side and the diagonal of a square cannot be a ratio of any two whole numbers. They called segments of this kind incommensurable, and they called the ratios between such segments irrational." (See Sketch 29 for more on incommensurability ...
... side and the diagonal of a square cannot be a ratio of any two whole numbers. They called segments of this kind incommensurable, and they called the ratios between such segments irrational." (See Sketch 29 for more on incommensurability ...
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