Fearless Symmetry: Exposing the Hidden Patterns of Numbers (New Edition)Princeton University Press, 24. avg. 2008 - 272 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 81
... CHAPTER 2. GROUPS 13 The Group of Rotations of a Sphere The General Concept of " Group " 14 17 In Praise of Mathematical Idealization Digression : Lie Groups 18 19 CHAPTER 3. PERMUTATIONS 21 The abc of Permutations Cycles 21 Contents.
... CHAPTER 3. PERMUTATIONS 21 The abc of Permutations Cycles 21 Permutations in General Digression : Mathematics and Society CHAPTER 4. MODULAR ARITHMETIC 25 26 29 31 Cyclical Time 31 Congruences 33 Arithmetic Modulo a Prime 36 Modular ...
... CHAPTER 8. GALOIS THEORY Polynomials and Their Roots The Field of Algebraic Numbers Qalg The Absolute Galois Group of Q Defined 87 88 89 92 A Conversation with s : A Playlet in Three Short Scenes 93 Digression : Symmetry How Elements of ...
... 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 RESTRICTION MORPHISM 157 The Big Picture and the ...
... CHAPTER 19. QUADRATIC RECIPROCITY REVISITED The Z - Variety x2 – W 216 217 218 220 221 222 CHAPTER 20. A MACHINE FOR MAKING GALOIS REPRESENTATIONS Vector Spaces and Linear Actions of Groups 225 225 Linearization Étale Cohomology ...
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Fearless Symmetry: Exposing the Hidden Patterns of Numbers Avner Ash,Robert Gross Omejen predogled - 2008 |
Fearless Symmetry: Exposing the Hidden Patterns of Numbers Avner Ash,Robert Gross Omejen predogled - 2006 |