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 45
Stran 9
... 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 draw ...
... 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 draw ...
Stran 11
... length. Its 6th part broke off for me, I let follow 72 steps on the length. Again 1/3 of the reed and 1/3 cubit broke off for me; in 3 three-score steps I went through the upper width. I extended the reed with that which in the second ...
... length. Its 6th part broke off for me, I let follow 72 steps on the length. Again 1/3 of the reed and 1/3 cubit broke off for me; in 3 three-score steps I went through the upper width. I extended the reed with that which in the second ...
Stran 12
... length of the reed?' Except for the rather strange language and the fact that most of us do not know how many square cubits make up a “bur,” this is a problem that could still appear in many a “recreational math” column – and it's still ...
... length of the reed?' Except for the rather strange language and the fact that most of us do not know how many square cubits make up a “bur,” this is a problem that could still appear in many a “recreational math” column – and it's still ...
Stran 14
... length of the diagonal of a Square, and lots of discussion about the surface areas and volumes of solids. Other early sources show an interest in very large numbers and hint at other mathematical developments that almost certainly ...
... length of the diagonal of a Square, and lots of discussion about the surface areas and volumes of solids. Other early sources show an interest in very large numbers and hint at other mathematical developments that almost certainly ...
Stran 15
... length survey, look at 95, which contains both an account of non-Western mathematics and a passionate argument for its influence and importance. Robson's [149) is a detailed account of how mathematics fit into the Social structures of ...
... length survey, look at 95, which contains both an account of non-Western mathematics and a passionate argument for its influence and importance. Robson's [149) is a detailed account of how mathematics fit into the Social structures 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 |
Druge izdaje - Prikaži vse
Pogosti izrazi in povedi
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