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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... Solving Equations Digression: Theorem Algebraic Closure CHAPTER 6. EQUATIONS AND VARIETIES The Logic of Equality The History of Equations Z-Equations Varieties Systems of Equations Equivalent Descriptions of the Same Variety Finding ...
... Solving Matrix Equations 132 CHAPTER 12. GROUP REPRESENTATIONS 135 Morphisms of Groups 135 A4, Symmetries of a Tetrahedron 139 Representations of A4 142 Mod p Linear Representations of the Absolute Galois Group from Elliptic Curves 146 ...
... Solving the Generalized Fermat Equations 256 CHAPTER 23. RETROSPECT 257 Topics Covered 257 Back to Solving Equations 258 Digression: Why Do Math? 260 The Congruent Number Problem 261 Peering Past the Frontier 263 Bibliography 265 Index ...
... solve polynomial equations. Unlike the quadratic equation ax2 + bx + c = 0, most equations do not have formulas that give you the solutions. Generalized reciprocity laws are very complicated algorithms that enable you to get crucial ...
... solving Diophantine equations,2 which may be new to many readers. The second part of the book is devoted to more. 2These are polynomial equations with integer coefficients when we look for solutions where the variables are only allowed ...
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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 |