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 vii
... versions of the book. Special thanks also to Georgia Tobin for creating the TEX symbols for Egyptian and Babylonian numerals, and to Michael Vulis for converting them to PostScript format; to Preface to the First Edition vii.
... versions of the book. Special thanks also to Georgia Tobin for creating the TEX symbols for Egyptian and Babylonian numerals, and to Michael Vulis for converting them to PostScript format; to Preface to the First Edition vii.
Stran ix
... Symbols . . . . . . . 69 3. Nothing Becomes a Number: The Story of Zero. . . . . . . . . . . . . 73 4. Broken Numbers: Writing Fractions . . . . . . . . . . . . . . . . . . . . . . . . 77 5. Less Than Nothing?: Negative Numbers ...
... Symbols . . . . . . . 69 3. Nothing Becomes a Number: The Story of Zero. . . . . . . . . . . . . 73 4. Broken Numbers: Writing Fractions . . . . . . . . . . . . . . . . . . . . . . . . 77 5. Less Than Nothing?: Negative Numbers ...
Stran 8
... The Egyptians used two numeration systems (one mostly for writing on stone, the other for writing on papyrus). Both were based on grouping by tens. One system used different symbols for. 8 The History of Mathematics in a Large Nutshell.
... The Egyptians used two numeration systems (one mostly for writing on stone, the other for writing on papyrus). Both were based on grouping by tens. One system used different symbols for. 8 The History of Mathematics in a Large Nutshell.
Stran 9
... symbols for various powers of ten. Multiples of a particular power were shown by repeating the symbol as many times as needed. For instance, and s stood for one and ten, respectively, so 57 was represented by sn's sis. O || || ||. The ...
... symbols for various powers of ten. Multiples of a particular power were shown by repeating the symbol as many times as needed. For instance, and s stood for one and ten, respectively, so 57 was represented by sn's sis. O || || ||. The ...
Stran 11
... symbol and a tens symbol were used to denote the numbers 1 through 59. The positions of these groups of symbols relative to each other indicated whether they stood for units or 60s or 60°s, etc. (See Sketch 1.) • They made use of ...
... symbol and a tens symbol were used to denote the numbers 1 through 59. The positions of these groups of symbols relative to each other indicated whether they stood for units or 60s or 60°s, etc. (See Sketch 1.) • They made use of ...
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