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 64
Stran 4
... called known as HPM, whose full name is International Study Group on the Relations Between History and Pedagogy of Mathematics. The American section, HPM-Americas, runs regular meetings where both history and its use in teaching are ...
... called known as HPM, whose full name is International Study Group on the Relations Between History and Pedagogy of Mathematics. The American section, HPM-Americas, runs regular meetings where both history and its use in teaching are ...
Stran 10
... called the Old 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 ...
... called the Old 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 ...
Stran 14
... called it the “out-in method. Most spectacularly, there is a chapter dedicated to Solving systems of linear equations by a method that is essentially the. same. as. the. one". rediscovered. by. Gauss. in. the. 19th. century. The. original.
... called it the “out-in method. Most spectacularly, there is a chapter dedicated to Solving systems of linear equations by a method that is essentially the. same. as. the. one". rediscovered. by. Gauss. in. the. 19th. century. The. original.
Stran 17
... called the Pythagorean Brotherhood (even though women were virtually equal members). The home base of the Pythagoreans was probably Crotona, a city founded by Greek settlers in southern Italy. The Brotherhood was a secret society ...
... called the Pythagorean Brotherhood (even though women were virtually equal members). The home base of the Pythagoreans was probably Crotona, a city founded by Greek settlers in southern Italy. The Brotherhood was a secret society ...
Stran 19
... called segments of this kind incommensurable, and they called the ratios between such segments irrational." (See Sketch 29 for more on incommensurability and irrational numbers.) By the time of the philosophers Plato and Aristotle ...
... called segments of this kind incommensurable, and they called the ratios between such segments irrational." (See Sketch 29 for more on incommensurability and irrational numbers.) By the time of the philosophers Plato and Aristotle ...
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