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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... Law of Quadratic Reciprocity 78 Examples of Quadratic Reciprocity 80 PART TWO. 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 ...
... RECIPROCITY LAWS CHAPTER 17. RECIPROCITY LAWS 193 The List of Traces of Frobenius 193 Black Boxes 195 Weak and ... Law 220 A Strong Reciprocity Law 221 A Derivation of Quadratic Reciprocity 222 CHAPTER 20. A MACHINE FOR MAKING GALOIS ...
... reciprocity laws. It will take most of the book to explain this concept. But here is an extremely brief description of the territory: We want to solve polynomial equations. Unlike the quadratic equation ax2 + bx + c = 0, most equations ...
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Dosegli ste zgornjo mejo števila strani te knjige, ki je na voljo.
Vsebina
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 |