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 91
... Examples of Quadratic Reciprocity 80 PART TWO. GALOIS THEORY AND REPRESENTATIONS CHAPTER 8. GALOIS THEORY 87 ... Example 108 Digression: What Is So Great about Elliptic Curves? 109 The Congruent Number Problem 110 Torsion and the ...
... Examples 151 Digression: The Inverse Galois Problem 154 Two More Things 155 CHAPTER 14. THE RESTRICTION MORPHISM 157 The ... Example of Computing Frobenius Elements 185 Frobp and Factoring Polynomials modulo p 186 Appendix: The Official ...
... Example 209 Another Example 211 Yet Another Example 212 The Proof 214 CHAPTER 19. QUADRATIC RECIPROCITY REVISITED 216 Simultaneous Eigenelements 217 The Z-Variety x2 − W 218 A Weak Reciprocity Law 220 A Strong Reciprocity Law 221 A ...
... example, if we are working in Euclidean geometry, the symmetries of an equilateral triangle in the plane consist of the three flips about the angle bisectors through each of its vertices, and also the three (yes there are three ...
... example, x5 + ax + b = 0 lacks a formula. This surprising fact was proved in the early 1800s by the Italian mathematician Paolo Ruffini and the Norwegian mathematician Niels Henrik Abel and led to the concept of the Galois group. One ...
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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 |