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 81
Stran 2
... example also raises some questions. That story appears in many different Sources, with all sorts of variations. The sum is sometimes another, more complicated, arithmetic progression. The foolishness of the teacher is sometimes ...
... example also raises some questions. That story appears in many different Sources, with all sorts of variations. The sum is sometimes another, more complicated, arithmetic progression. The foolishness of the teacher is sometimes ...
Stran 3
... example, Sketch 17, on complex numbers, explains why mathematicians were led to invent this new kind of number that ... example, is something that governments still do! Knowing the history of an idea can often lead to deeper ...
... example, Sketch 17, on complex numbers, explains why mathematicians were led to invent this new kind of number that ... example, is something that governments still do! Knowing the history of an idea can often lead to deeper ...
Stran 5
... example), they receive less attention because they have had much less direct influence on the mathematics that we now teach. Our survey spends far more time on ancient mathematics than it does on recent work. In a way, this is a real ...
... example), they receive less attention because they have had much less direct influence on the mathematics that we now teach. Our survey spends far more time on ancient mathematics than it does on recent work. In a way, this is a real ...
Stran 8
... examples cover a wide range of mathematical ideas but stay close to the sorts of techniques that would be needed by the scribe to fulfill his duties. From this source and others, we can deduce some basic features of ancient Egyptian ...
... examples cover a wide range of mathematical ideas but stay close to the sorts of techniques that would be needed by the scribe to fulfill his duties. From this source and others, we can deduce some basic features of ancient Egyptian ...
Stran 9
... example, what we call “three fifths” they would call “the half and the tenth.” Since doubling was so important in their mathematics, one of the numerical tables in the Rhind Papyrus is a table listing the doubles of the parts. For example ...
... example, what we call “three fifths” they would call “the half and the tenth.” Since doubling was so important in their mathematics, one of the numerical tables in the Rhind Papyrus is a table listing the doubles of the parts. For example ...
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