Mathematics and Its HistorySpringer Science & Business Media, 27.01.2004 - 544 Seiten From the reviews of the first edition: "[This book] can be described as a collection of critical historical essays dealing with a large variety of mathematical disciplines and issues, and intended for a broad audience¿ we know of no book on mathematics and its history that covers half as much nonstandard material. Even when dealing with standard material, Stillwell manages to dramatize it and to make it worth rethinking. In short, his book is a splendid addition to the genre of works that build royal roads to mathematical culture for the many." (Mathematical Intelligencer) This second edition includes new chapters on Chinese and Indian number theory, on hypercomplex numbers, and on algebraic number theory. Many more exercises have been added, as well as commentary to the exercises explaining how they relate to the preceding section, and how they foreshadow later topics. |
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... Projective Geometry 120 8.1 Perspective 120 8.2 Anamorphosis . 123 8.3 Desargues ' Projective Geometry 125 8.4 The Projective View of Curves 129 8.5 Homogeneous Coordinates xiv Contents.
John Stillwell. 8.4 The Projective View of Curves 129 8.5 Homogeneous Coordinates 134 8.6 Bézout's Theorem Revisited 137 8.7 Pascal's Theorem 139 8.8 Biographical Notes : Desargues and Pascal 142 9 Calculus 146 9.1 What Is Calculus ...
... Projective Line 279 15.3 Branch Points . . 282 15.4 Topology of Complex Projective Curves 285 . 15.5 Biographical Notes : Riemann . 288 16 Complex Numbers and Functions 16.1 Complex Functions 293 293 16.2 Conformal Mapping 297 16.3 ...
... Projective Model 344 18.5 Beltrami's Conformal Models 348 18.6 The Complex Interpretations 352 18.7 Biographical Notes : Bolyai and Lobachevsky 357 19 Group Theory 361 19.1 The Group Concept 361 19.2 Permutations and Theory of Equations ...
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Inhalt
I | 1 |
II | 17 |
III | 37 |
IV | 51 |
V | 66 |
VI | 82 |
VII | 104 |
VIII | 120 |
XIII | 229 |
XIV | 254 |
XV | 274 |
XVI | 291 |
XVII | 311 |
XVIII | 334 |
XIX | 357 |
XX | 378 |
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Verweise auf dieses Buch
Modern Algebra with Applications William J. Gilbert,W. Keith Nicholson Eingeschränkte Leseprobe - 2004 |
Elliptic Curves: Function Theory, Geometry, Arithmetic Henry McKean,Victor Moll Eingeschränkte Leseprobe - 1999 |