Advanced Number TheoryCourier Corporation, 01.08.1980 - 276 Seiten Eminent mathematician, teacher approaches algebraic number theory from historical standpoint. Demonstrates how concepts, definitions, theories have evolved during last 2 centuries. Abounds with numerical examples, over 200 problems, many concrete, specific theorems. Numerous graphs, tables. |
Inhalt
I | 1 |
II | 7 |
III | 9 |
IV | 22 |
V | 39 |
VI | 54 |
VII | 75 |
VIII | 91 |
X | 113 |
XII | 131 |
XIII | 142 |
XIV | 157 |
XV | 159 |
XVI | 183 |
XVII | 195 |
XVIII | 212 |
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Häufige Begriffe und Wortgruppen
a₁ algebraic integers algebraic number algebraic number theory ax² B₁ Chapter XII characters class number congruence conjugates consider cy² cyclic group D₁ define definition determined Dirichlet divides divisor elementary elements equation equivalence class Euclidean algorithm EXERCISE 13 field discriminant finite number fundamental unit Gauss genus Hence ideal classes indecomposable integral coefficients integral domain Jacobi symbol lattice points Lemma linearly independent m₁ minimal basis modulo multiplication n₁ nonprincipal nonzero norm number theory odd prime p₁ perfect square positive prime ideals principal ideal Proof quadratic field quadratic forms quadratic integers quadratic reciprocity R(VD r₁ rational integers relatively prime representation residue classes resolution modulus result satisfies Show solution solvable square-free symbol t₁ Theorem u₁ unique factorization v₁ V₂ values vectors verify w₁ whereas write y₁ zero