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 83
... CHAPTER 1. REPRESENTATIONS The Bare Notion of Representation An Example: Counting Digression: Definitions Counting (Continued) Counting Viewed as a Representation The Definition of a Representation Counting and Inequalities as ...
... CHAPTER 4. MODULAR ARITHMETIC Cyclical Time Congruences Arithmetic Modulo a Prime Modular Arithmetic and Group Theory Modular Arithmetic and Solutions of Equations CHAPTER 5. COMPLEX NUMBERS Overture to Complex Numbers Complex ...
... 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 Digression: Symmetry 96 How Elements ...
... 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 17. RECIPROCITY LAWS 193 The List of Traces of Frobenius 193 Black Boxes 195 Weak and Strong Reciprocity Laws 196 Digression: Conjecture 197 Kinds of Black Boxes 199 CHAPTER 18. ONE- AND TWO-DIMENSIONAL REPRESENTATIONS 200 Roots ...
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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 |