Title Statements
- Full title :Elementary number theory; : an algebraic approach / [by] Ethan D. Bolker.
Edition Statements
- Publication Date:1970 [©1969]
Publication Statements
- Publisher(s):W.A. Benjamin
- Place of Publication:New York
- Language:eng
- Publication Date:1970 [©1969]
The Physical Object
- Description:xi, 180 pages : 24 cm
Edition Identifiers
- ISBN:0805310185, 9780805310184
- oclc:ocm00060110
- LC Classification:QA241
- Dewey Decimal:512/.81
Table of Contents
Linear Diophantine Equations -- Sums of Squares -- Divisibility and Unique Factorization -- The Diophantine Equation -- The Infinitude of the Primes -- Problems -- Congruence -- Arithmetic in Zn: Solving Congruences -- The Chinese Remainder Theorem -- The Euler -- Function -- More About -- Problems -- Polynomials -- The Algebra of Polynomials -- Wilson's Theorem -- The Diophantine Equation -- Problems -- The Group Units of Zn -- Decimal Expansions -- Cyclic Groups -- The Group -- Problems -- Quadratic Reciprocity -- Residues -- The Lemma of Gauss -- The Quadratic Reciprocity Law -- The Diophantine Equation -- Problems -- Quadratic Number Fields -- The Field Q -- Algebraic Integers -- Norms and Units -- Units in Real Fields: Pell's Equation -- Primes -- Euclidean Number Fields -- Consequences of Unique Factorization -- The Diophantine Equation -- The Sum of Two Squares -- A (-3) and Related Diophantine Equations -- The Diophantine Equation -- Quadratic Forms and Quadratic Number Fields -- Sums of Four Squares -- Problems -- The Fermat Triples -- Pythagorean Triples -- The Method of Descent -- The Diophantine Equation -- Cyclotomic Fields -- Problems.
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