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 39
Stran vii
... probably would enjoy. A note about notation: In recent years, some history books have been using B.C.E. (“before the common era”) and C.E. (“the common era”) in place of the more traditional B.C. and A.D., respectively. Depending on ...
... probably would enjoy. A note about notation: In recent years, some history books have been using B.C.E. (“before the common era”) and C.E. (“the common era”) in place of the more traditional B.C. and A.D., respectively. Depending on ...
Stran 2
... probably interest students, and perhaps they will remember it. Being fixed in their memory, the story can serve as a peg On which a mathematical idea can hang (in this case the method for Summing arithmetic progressions). Like most ...
... probably interest students, and perhaps they will remember it. Being fixed in their memory, the story can serve as a peg On which a mathematical idea can hang (in this case the method for Summing arithmetic progressions). Like most ...
Stran 3
... probably a good idea to make some sort of verbal gesture to suggest to students that what they are hearing may not necessarily be the strict historical truth. The main limitation of using historical and biographical anecdotes, however ...
... probably a good idea to make some sort of verbal gesture to suggest to students that what they are hearing may not necessarily be the strict historical truth. The main limitation of using historical and biographical anecdotes, however ...
Stran 8
... probably used in the training of scribes. The 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 ...
... probably used in the training of scribes. The 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 ...
Stran 11
... probably based on a “cut-and-paste geometry” in which pieces of rectangles and squares were moved around to discover the solution. The solutions in the tablets, however, are entirely numerical and are meant to drill students in applying ...
... probably based on a “cut-and-paste geometry” in which pieces of rectangles and squares were moved around to discover the solution. The solutions in the tablets, however, are entirely numerical and are meant to drill students in applying ...
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