Elementary Number TheoryThis is a straightforward, up-to-date number theory text with a slight emphasis on applications (as noted by inclusion of a final chapter eight on same). All definitions, theorems, and proofs are accompanied by examples so as to be as detailed as possible. Class testing has been conducted to solicit student and professor feedback. |
Other editions - View all
Common terms and phrases
a₁ addition Algebra algorithm answer arithmetic functions Assume Chapter complete compute congruence conjecture Consider continued fraction expansion contradiction convergents Corollary defined Definition denoted desired Diophantine equation discussion distinct divides divisible divisors Edition elementary equal equivalence Euler's exactly Example Exercise Set exists expressible fact Fermat's Find finite formula four Fundamental given gives illustrate implies important infinite simple continued inverse irrational number known least Legendre symbol Lemma less method multiplicative namely nonnegative notation Note number theory obtain odd prime number positive integer prime factorization primitive root modulo problem proof Proposition Prove quadratic irrational quadratic residue modulo rational number reader relation relatively prime remainder result sequence sides simple continued fraction solvable solve squares squares of integers Student Theorem true values variable