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 23
Stran vii
... earlier versions of the book. Special thanks also to Georgia Tobin for creating the TEX symbols for Egyptian and Babylonian numerals, and to Michael Vulis for converting them to PostScript format; to Preface to the First Edition vii.
... earlier versions of the book. Special thanks also to Georgia Tobin for creating the TEX symbols for Egyptian and Babylonian numerals, and to Michael Vulis for converting them to PostScript format; to Preface to the First Edition vii.
Stran viii
... Babylonian tablets (on page 63). We are deeply grateful that one of us was able to participate for two summers in the MAA's Institute for the History of Mathematics and its use in Teaching. IHMT helped to transform a lifelong interest ...
... Babylonian tablets (on page 63). We are deeply grateful that one of us was able to participate for two summers in the MAA's Institute for the History of Mathematics and its use in Teaching. IHMT helped to transform a lifelong interest ...
Stran 10
... Babylonian period. For this reason, one sometimes refers to the mathematics of this region as Babylonian mathematics. Unlike what happens for Egyptian mathematics, a great many such tablets have been discovered. Once again, most of them ...
... Babylonian period. For this reason, one sometimes refers to the mathematics of this region as Babylonian mathematics. Unlike what happens for Egyptian mathematics, a great many such tablets have been discovered. Once again, most of them ...
Stran 11
... Babylonian scribes could handle linear equations. They could also solve a wide range of problems that we would describe as leading to quadratic equations. Many of these problems are quite artificial and may have existed solely as a way ...
... Babylonian scribes could handle linear equations. They could also solve a wide range of problems that we would describe as leading to quadratic equations. Many of these problems are quite artificial and may have existed solely as a way ...
Stran 12
... Babylonian astronomy. The overall impression is that Babylonian mathematics was driven by methods. Once a method for solving a certain kind of problem was on hand, the scribes seemed to revel in constructing more and more elaborate ...
... Babylonian astronomy. The overall impression is that Babylonian mathematics was driven by methods. Once a method for solving a certain kind of problem was on hand, the scribes seemed to revel in constructing more and more elaborate ...
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