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 38
... 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 ...
... 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 Problem 154 Two More Things 155 CHAPTER 14. THE ...
... absolute Galois group and the topics that follow. The climactic chapter on Fermat's Last Theorem is very difficult, but we hope that, even read cursorily, it gives a more realistic view of what was at stake in the proof of that theorem ...
... absolute 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 ...
... Galois groups, and how all these Galois groups glue together into a big group, called “the absolute Galois group of the rational numbers.” We introduce representations of the Galois group and explain just what features of these ...
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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 |