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. |
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Zadetki 1–5 od 37
Stran 8
... 19th century archaeologist who brought it to England. It dates back to about 1650 B.C. The papyrus contains, on one side, extensive tables that were used as aids to computation (particularly multiplication) and, on the other side, a ...
... 19th century archaeologist who brought it to England. It dates back to about 1650 B.C. The papyrus contains, on one side, extensive tables that were used as aids to computation (particularly multiplication) and, on the other side, a ...
Stran 14
... 19th. century. The. original. Nine Chapters contains only problems and solutions, but Liu Hui's commentary often gives justifications for the rules used to solve the problems. These are not formal proofs based on axioms, but they are ...
... 19th. century. The. original. Nine Chapters contains only problems and solutions, but Liu Hui's commentary often gives justifications for the rules used to solve the problems. These are not formal proofs based on axioms, but they are ...
Stran 16
... 19th century.) Most Greek mathematicians had little interest in practical arithmetic or in the problems of actually measuring lengths and areas. These issues only came to the fore relatively late (for example, during the 1st century ...
... 19th century.) Most Greek mathematicians had little interest in practical arithmetic or in the problems of actually measuring lengths and areas. These issues only came to the fore relatively late (for example, during the 1st century ...
Stran 21
... centuries. The systematic and ordered presentation of mathematical results that we see in the Elements is only one part of the Greek tradition. Another important component ... 19th century. Some Greek mathematicians knew Greek Mathematics 21.
... centuries. The systematic and ordered presentation of mathematical results that we see in the Elements is only one part of the Greek tradition. Another important component ... 19th century. Some Greek mathematicians knew Greek Mathematics 21.
Stran 22
... 19th century. Some Greek mathematicians knew (or suspected) this too, though they could not prove it. For example, Pappus (writing ca. 320 A.D.) criticizes a proposed ruler and compass solution of the problem of duplicating the cube by ...
... 19th century. Some Greek mathematicians knew (or suspected) this too, though they could not prove it. For example, Pappus (writing ca. 320 A.D.) criticizes a proposed ruler and compass solution of the problem of duplicating the cube by ...
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