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 41
Stran ix
... . . . . . 115 13. A Marvelous Proof: Fermat's Last Theorem . . . . . . . . . . . . . . . . 121 14. On Beauty Bare: Euclid's Plane Geometry. . . . . . . . . . . . . . . . . . 127 15. In Perfect Shape: The Platonic Solids ...
... . . . . . 115 13. A Marvelous Proof: Fermat's Last Theorem . . . . . . . . . . . . . . . . 121 14. On Beauty Bare: Euclid's Plane Geometry. . . . . . . . . . . . . . . . . . 127 15. In Perfect Shape: The Platonic Solids ...
Stran 1
... proofs of geometry? Mathematics is an ongoing human endeavor, like literature, physics, art, economics, or music. It has a past and a future, as well as a present. The mathematics we learn and use today is in many ways very different ...
... proofs of geometry? Mathematics is an ongoing human endeavor, like literature, physics, art, economics, or music. It has a past and a future, as well as a present. The mathematics we learn and use today is in many ways very different ...
Stran 14
... proofs based on axioms, but they are proofs nonetheless. Chinese proofs, from Liu Hui on, usually had this informal character. Together with the other Mathematical Classics, the Nine Chapters played a central role in Chinese mathematics ...
... proofs based on axioms, but they are proofs nonetheless. Chinese proofs, from Liu Hui on, usually had this informal character. Together with the other Mathematical Classics, the Nine Chapters played a central role in Chinese mathematics ...
Stran 15
... proof in various ancient cultures are collected in 28]. Fimally, nothing replaces reading the real thing: Selected, translated, and annotated mathematical texts from non-Western cultures can be found in 198]. Greek Mathematics Many ...
... proof in various ancient cultures are collected in 28]. Fimally, nothing replaces reading the real thing: Selected, translated, and annotated mathematical texts from non-Western cultures can be found in 198]. Greek Mathematics Many ...
Stran 19
... proofs of mathematical statements. Around this time, they probably began to understand that in order to prove theorems one must start with a few unproved assumptions. In fact, Aristotle says so explicitly. These basic assumptions, or ...
... proofs of mathematical statements. Around this time, they probably began to understand that in order to prove theorems one must start with a few unproved assumptions. In fact, Aristotle says so explicitly. These basic assumptions, or ...
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