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 58
Stran ix
... Europe. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33 The 15th and 16th Centuries. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 35 Algebra Comes of Age . . . . . .
... Europe. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33 The 15th and 16th Centuries. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 35 Algebra Comes of Age . . . . . .
Stran 5
... Europe, and eventually became mathematics as it is now understood throughout the world. While we do not entirely ignore other traditions (Chinese, for example), they receive less attention because they have had much less direct ...
... Europe, and eventually became mathematics as it is now understood throughout the world. While we do not entirely ignore other traditions (Chinese, for example), they receive less attention because they have had much less direct ...
Stran 14
... European explorers arrived in the 16th century. Because the influence of Chinese ideas on Western mathematics was so indirect, we will not discuss it further in detail. We know even less about very early Indian mathematics. There is ...
... European explorers arrived in the 16th century. Because the influence of Chinese ideas on Western mathematics was so indirect, we will not discuss it further in detail. We know even less about very early Indian mathematics. There is ...
Stran 22
... Europe. His problems always asked for numbers, which to him meant rational numbers (common fractions). For example, one problem asks for a way to write a square as the sum of two other squares. In his solutions. Diophantus always used ...
... Europe. His problems always asked for numbers, which to him meant rational numbers (common fractions). For example, one problem asks for a way to write a square as the sum of two other squares. In his solutions. Diophantus always used ...
Stran 23
... European algebraists of the 16th and 17th centuries. We still refer to equations that are to be solved in whole numbers or rational numbers as Diophantine equations. It's not clear, however, whether it had any impact in his own time ...
... European algebraists of the 16th and 17th centuries. We still refer to equations that are to be solved in whole numbers or rational numbers as Diophantine equations. It's not clear, however, whether it had any impact in his own time ...
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