Mathematics, a concise history and philosophy / W. S. Anglin.

Por: Anglin, W. SSeries Undergraduate texts in mathematicsReadings in mathematicsEditor: New York : Springer-Verlag, c1994Descripción: xi, 261 p. ; 25 cmISBN: 0387942807; 3540942807Otra clasificación: 01A05 (00A30)
Contenidos:
Preface vii
Mathematics for Civil Servants [1]
The Earliest Number Theory [7]
The Dawn of Deductive Mathematics [13]
The Pythagoreans [17]
The Pythagoreans and Perfection [23]
The Pythagoreans and Polyhedra [29]
The Pythagoreans and Irrationality [35]
The Need for the Infinite [43]
Mathematics in Athens Before Plato [49]
Plato [57]
Aristotle [61]
In the Time of Eudoxus [69]
13 Ruler and Compass Constructions [75]
14 The Oldest Surviving Math Book [81]
15 Euclid’s Geometry Continued [87]
16 Alexandria and Archimedes [95]
17 The End of Greek Mathematics [105]
18 Early Medieval Number Theory [113]
19 Algebra in the Early Middle Ages [119]
20 Geometry in the Early Middle Ages [123]
21 Khayyam and the Cubic [127]
22 The Later Middle Ages [131]
23 Modern Mathematical Notation [137]
24 The Secret of the Cubic [141]
25 The Secret Revealed [147]
26 A New Calculating Device [153]
27 Mathematics and Astronomy [157]
28 The Seventeenth Century [161]
29 Pascal [167]
30 The Seventeenth Century II [175]
31 Leibniz [181]
32 The Eighteenth Century [185]
33 Lagrange [191]
34 Nineteenth-Century Algebra [195]
35 Nineteenth-Century Analysis [199]
36 Nineteenth-Century Geometry [203]
37 Nineteenth-Century Number Theory [209]
38 Cantor [213]
39 Foundations [217]
40 Twentieth-Century Number Theory [221]
References [227]
Appendix A Sample Assignments and Tests [229]
Appendix B Answers to Selected Exercises [245]
Index [257]
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Libros Libros Instituto de Matemática, CONICET-UNS
01 An589 (Browse shelf) Available A-8003

HISTORIA DE LA MATEMÁTICA


Includes bibliographical references (p. [227]-228) and index.

Preface vii --
Mathematics for Civil Servants [1] --
The Earliest Number Theory [7] --
The Dawn of Deductive Mathematics [13] --
The Pythagoreans [17] --
The Pythagoreans and Perfection [23] --
The Pythagoreans and Polyhedra [29] --
The Pythagoreans and Irrationality [35] --
The Need for the Infinite [43] --
Mathematics in Athens Before Plato [49] --
Plato [57] --
Aristotle [61] --
In the Time of Eudoxus [69] --
13 Ruler and Compass Constructions [75] --
14 The Oldest Surviving Math Book [81] --
15 Euclid’s Geometry Continued [87] --
16 Alexandria and Archimedes [95] --
17 The End of Greek Mathematics [105] --
18 Early Medieval Number Theory [113] --
19 Algebra in the Early Middle Ages [119] --
20 Geometry in the Early Middle Ages [123] --
21 Khayyam and the Cubic [127] --
22 The Later Middle Ages [131] --
23 Modern Mathematical Notation [137] --
24 The Secret of the Cubic [141] --
25 The Secret Revealed [147] --
26 A New Calculating Device [153] --
27 Mathematics and Astronomy [157] --
28 The Seventeenth Century [161] --
29 Pascal [167] --
30 The Seventeenth Century II [175] --
31 Leibniz [181] --
32 The Eighteenth Century [185] --
33 Lagrange [191] --
34 Nineteenth-Century Algebra [195] --
35 Nineteenth-Century Analysis [199] --
36 Nineteenth-Century Geometry [203] --
37 Nineteenth-Century Number Theory [209] --
38 Cantor [213] --
39 Foundations [217] --
40 Twentieth-Century Number Theory [221] --
References [227] --
Appendix A Sample Assignments and Tests [229] --
Appendix B Answers to Selected Exercises [245] --
Index [257] --

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