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 49
Stran viii
... writing this book is enormous. Were it not for the giants on whose shoulders we attempted to stand, we couldn't possibly have done the job. We have tried, in bibliographical notes scattered throughout the book and in the “What to Read ...
... writing this book is enormous. Were it not for the giants on whose shoulders we attempted to stand, we couldn't possibly have done the job. We have tried, in bibliographical notes scattered throughout the book and in the “What to Read ...
Stran ix
... Writing Whole Numbers . . . . . . . . . . . . . . . . . . . 63 2. Reading and Writing Arithmetic: The Basic Symbols . . . . . . . 69 3. Nothing Becomes a Number: The Story of Zero. . . . . . . . . . . . . 73 4. Broken Numbers: Writing ...
... Writing Whole Numbers . . . . . . . . . . . . . . . . . . . 63 2. Reading and Writing Arithmetic: The Basic Symbols . . . . . . . 69 3. Nothing Becomes a Number: The Story of Zero. . . . . . . . . . . . . 73 4. Broken Numbers: Writing ...
Stran 5
... are scarce, we are much less sure. In addition, mathematicians have been writing about the story of their subject for many centuries. That has sometimes led to “standard stories” about 5 The History of Mathematics in a Large Nutshell.
... are scarce, we are much less sure. In addition, mathematicians have been writing about the story of their subject for many centuries. That has sometimes led to “standard stories” about 5 The History of Mathematics in a Large Nutshell.
Stran 6
... writing we also find evidence for some level of mathematical knowledge. Names for numbers and shapes and the basic ideas about counting and arithmetical operations seem to be part of the common heritage of humanity everywhere ...
... writing we also find evidence for some level of mathematical knowledge. Names for numbers and shapes and the basic ideas about counting and arithmetical operations seem to be part of the common heritage of humanity everywhere ...
Stran 7
... writing was first developing in the Ancient Near East, mathematics began to emerge as a specific activity.” As societies adopted various forms of centralized government, they needed ways of keeping track of what was produced, how much ...
... writing was first developing in the Ancient Near East, mathematics began to emerge as a specific activity.” As societies adopted various forms of centralized government, they needed ways of keeping track of what was produced, how much ...
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