Mathematical Thought From Ancient to Modern Times, Volume 1, Volum 1Oxford University Press, 1. mars 1990 - 432 sider This comprehensive history traces the development of mathematical ideas and the careers of the mathematicians responsible for them. Volume 1 looks at the disciplines origins in Babylon and Egypt, the creation of geometry and trigonometry by the Greeks, and the role of mathematics in the medieval and early modern periods. Volume 2 focuses on calculus, the rise of analysis in the 19th century, and the number theories of Dedekind and Dirichlet. The concluding volume covers the revival of projective geometry, the emergence of abstract algebra, the beginnings of topology, and the influence of Godel on recent mathematical study. |
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... theory and doing research myself, I still made time to write Mathematics In Western Culture, which is partly history and partly an exploration of the inuence of mathematics upon philosophy, religion, literature, art, music, economic theory ...
... theory and doing research myself, I still made time to write Mathematics In Western Culture, which is partly history and partly an exploration of the inuence of mathematics upon philosophy, religion, literature, art, music, economic theory ...
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... theory of probability and the calculus of finite differences, which are important today, did not play major roles during the period covered and have accordingly received very little attention. The vast expansion of the last few decades ...
... theory of probability and the calculus of finite differences, which are important today, did not play major roles during the period covered and have accordingly received very little attention. The vast expansion of the last few decades ...
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... Theory of Proportion 6. Book VI: Similar Figures 7. Books VII, VIII, and IX: TheTheory of Numbers 8. Book X: The Classification of Incommensurables 9. Books XI, XII, and XIII: Solid Geometry and the Method of Exhaustion 10. The Merits ...
... Theory of Proportion 6. Book VI: Similar Figures 7. Books VII, VIII, and IX: TheTheory of Numbers 8. Book X: The Classification of Incommensurables 9. Books XI, XII, and XIII: Solid Geometry and the Method of Exhaustion 10. The Merits ...
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... Theory of Equations 6. The Binomial Theorem and Allied Topics 7. The Theory of Numbers 8. The Relationship of Algebra to Geometry 14. The Beginnings of Projective Geometry 1. The Rebirth of Geometry 2. The Problems Raised by the Work on ...
... Theory of Equations 6. The Binomial Theorem and Allied Topics 7. The Theory of Numbers 8. The Relationship of Algebra to Geometry 14. The Beginnings of Projective Geometry 1. The Rebirth of Geometry 2. The Problems Raised by the Work on ...
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... theory of numbers. Many sets of Pythagorean triples were found, probably by the correct rule; that is, if x = p2 – q2 , y = 2pq, z = p2 + q2 , then x2 + y2 = z2. They also solved x2 + y2 = 2z2 in integers. 6. Babylonian. Geometry. The ...
... theory of numbers. Many sets of Pythagorean triples were found, probably by the correct rule; that is, if x = p2 – q2 , y = 2pq, z = p2 + q2 , then x2 + y2 = z2. They also solved x2 + y2 = 2z2 in integers. 6. Babylonian. Geometry. The ...
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Euclid and Apollonius | |
The Work of Desargues | 4-3 |
The Work of Pascal and La Hire | 4-4 |
The Emergence of New Principles | 4-5 |
Progress inMathematics Proper | 4-7 |
The Status of the Number System and Arithmetic | 4-250 |
Symbolism | 4-262 |
The Solution of Third and Fourth Degree Equations | 4-267 |
The Theory of Equations | 4-276 |
The Binomial Theorem and Allied Topics | 4-280 |
The Theory of Numbers | 4-282 |
The Relationship of Algebra to Geometry | 4-288 |
The Beginnings of Projective Geometry | 4-298 |
The Merits and Defects of the Elements | 4-10 |
Coordinate Geometry | 4-15 |
The Reemergence of Arithmetic | 4-78 |
The Demise of the Greek World | 4-135 |
The Mathematics of the Hindus and Arabs | 4-152 |
The Medieval Period in Europe | 4-177 |
Progress in Physical Science | 4-193 |
Summary | 4-196 |
The Renaissance 1 Revolutionary Inuences in Europe | 4-199 |
The New Intellectual Outlook | 4-202 |
The Spread of Learning | 4-205 |
Humanistic Activity in Mathematics | 4-206 |
The Clamor for the Reform of Science | 4-210 |
The Rise of Empiricism | 4-215 |
Mathematical Contributions in the Renaissance 1 Perspective | 4-221 |
Geometry Proper | 4-225 |
Algebra | 4-228 |
Trigonometry | 4-230 |
The Major Scientific Progress in the Renaissance 6 Remarks on the Renaissance | 4-244 |
and Algebra | 4-249 |
The Rebirth of Geometry | 14-1 |
The Problems Raised by the Work on Perspective | 14-2 |
René Descartes | 14-3 |
Descartess Work in Coordinate Geometry | 14-4 |
SeventeenthCentury Extensions | 14-5 |
The Importance of Coordinate Geometry Coordinate | 14-21 |
The Mathematization of Science 1 Introduction | 14-54 |
Descartess Concept of Science | 14-55 |
Galileos Approach to Science | 14-57 |
The Function Concept | 14-69 |
The Creation of the Calculus 1 The Motivation for the Calculus | 14-78 |
Early SeventeenthCentury Work on the Calculus | 14-80 |
The Work of Newton | 14-98 |
The Work of Leibniz | 14-118 |
A Comparison of the Work of Newton and Leibniz | 14-130 |
The Controversy over Priority | 14-132 |
Some Immediate Additions to the Calculus | 14-133 |
The Soundness of the Calculus 383 | 14-136 |
List of Abbreviations Index | 24 |
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Mathematical Thought From Ancient to Modern Times, Volum 1 Morris Kline Ingen forhåndsvisning tilgjengelig - 1990 |
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