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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... ideas, with particular emphasis on those currents of activity that have loomed largest in the main periods of the life of mathematics and have been inuential in promoting and shaping subsequent mathematical activity. The very concept of ...
... ideas, with particular emphasis on those currents of activity that have loomed largest in the main periods of the life of mathematics and have been inuential in promoting and shaping subsequent mathematical activity. The very concept of ...
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... ideas that have been featured; biography is entirely subordinate. In this respect, I have followed the advice of Pascal: “When we cite authors we cite their demonstrations, not their names.” To achieve coherence, particularly in the ...
... ideas that have been featured; biography is entirely subordinate. In this respect, I have followed the advice of Pascal: “When we cite authors we cite their demonstrations, not their names.” To achieve coherence, particularly in the ...
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... ideas or people or events represented by the words was inferred. In the prophecy of Isaiah (21:8), the lion proclaims the fall of Babylon because the letters in the Hebrew word for lion and those in the word for Babylon add up to the ...
... ideas or people or events represented by the words was inferred. In the prophecy of Isaiah (21:8), the lion proclaims the fall of Babylon because the letters in the Hebrew word for lion and those in the word for Babylon add up to the ...
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... ideas involved. Egyptian mathematics was simple and crude and no deep principles were involved, contrary to what is often asserted. one. 5. Summary. Let us review the status of mathematics before the Greeks enter the picture. We find in ...
... ideas involved. Egyptian mathematics was simple and crude and no deep principles were involved, contrary to what is often asserted. one. 5. Summary. Let us review the status of mathematics before the Greeks enter the picture. We find in ...
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... ideas; she abolishes oblivion and ignorance which are ours by birth. PROCLUS. 1. Background. In the history of civilization the Greeks are preeminent, and in the history of mathematics the Greeks are the supreme event. Though they did ...
... ideas; she abolishes oblivion and ignorance which are ours by birth. PROCLUS. 1. Background. In the history of civilization the Greeks are preeminent, and in the history of mathematics the Greeks are the supreme event. Though they did ...
Innhold
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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