Fearless Symmetry: Exposing the Hidden Patterns of Numbers - New EditionPrinceton University Press, 4. avg. 2008 - 312 strani Mathematicians solve equations, or try to. But sometimes the solutions are not as interesting as the beautiful symmetric patterns that lead to them. Written in a friendly style for a general audience, Fearless Symmetry is the first popular math book to discuss these elegant and mysterious patterns and the ingenious techniques mathematicians use to uncover them. |
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Zadetki 1–5 od 77
... GALOIS THEORY AND REPRESENTATIONS CHAPTER 8. GALOIS THEORY 87 Polynomials and Their Roots 88 The Field of Algebraic Numbers Qalg 89 The Absolute Galois Group of Q Defined 92 A Conversation with s: A Playlet in Three Short Scenes 93 ...
... Representations of A4 142 Mod p Linear Representations of the Absolute Galois Group from Elliptic Curves 146 CHAPTER 13. THE GALOIS GROUP OF A POLYNOMIAL 149 The Field Generated by a Z-Polynomial 149 Examples 151 Digression: The Inverse ...
... Galois Representation 188 Appendix: The Official Definition of “Unramified” and Frobp 189 PART THREE. RECIPROCITY ... Galois Representations 204 Two-Dimensional Galois Representations Arising from the p-Torsion Points of an Elliptic ...
... Galois in the nineteenth century—that these algebraic entities, groups, may ... represent the extra glue, the further constraint, in a problem of global number theory ... representation having peculiar properties. The demonstration of the ...
... Galois group of Q can be explicitly described except for the identity element and complex conjugation. We stand by this statement. But one of our correspondents didn't believe us and bravely attempted to describe a third element by ...
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PART TWO GALOIS THEORY AND REPRESENTATIONS | 85 |
PART THREE RECIPROCITY LAWS | 191 |
Bibliography | 265 |
Index | 269 |
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Fearless Symmetry: Exposing the Hidden Patterns of Numbers Avner Ash,Robert Gross Omejen predogled - 2006 |
Fearless Symmetry: Exposing the Hidden Patterns of Numbers (New Edition) Avner Ash,Robert Gross Omejen predogled - 2008 |