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
... Definitions Counting (Continued) Counting Viewed as a Representation The Definition of a Representation Counting and Inequalities as Representations Summary CHAPTER 2. GROUPS The Group of Rotations of a Sphere The General Concept of ...
... Definition of Frobp 184 An Example of Computing Frobenius Elements 185 Frobp and Factoring Polynomials modulo p 186 Appendix: The Official Definition of the Bad Primes for a xii CONTENTS.
... Definition of the Bad Primes for a Galois Representation 188 Appendix: The Official Definition of “Unramified” and Frobp 189 PART THREE. RECIPROCITY LAWS CHAPTER 17. RECIPROCITY LAWS 193 The List of Traces of Frobenius 193 Black Boxes ...
... definitions and constructions in modern algebra and number theory on a basic level. We call attention to the first chapter, which discusses the mathematical idea of representation in a general way that does not occur in elementary ...
... definitions are there to clarify usage, fix ideas, and resolve possible ambiguities. Mathematical definitions are not like dictionary definitions. They do not describe usage, but create it. A mathematical definition cannot be “wrong” or ...
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 |