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LEADER: 02291nam a22004215a 4500
001 013843009-8
005 20131206203326.0
008 121227s1995 ne | s ||0| 0|eng d
020 $a9789401102858
020 $a9789401102858
020 $a9789401041263
024 7 $a10.1007/978-94-011-0285-8$2doi
035 $a(Springer)9789401102858
040 $aSpringer
050 4 $aQA241-247.5
072 7 $aPBH$2bicssc
072 7 $aMAT022000$2bisacsh
082 04 $a512.7$223
100 1 $aAnglin, W. S.,$eauthor.
245 14 $aThe Queen of Mathematics :$bAn Introduction to Number Theory /$cby W. S. Anglin.
264 1 $aDordrecht :$bSpringer Netherlands :$bImprint: Springer,$c1995.
300 $aX, 390 p.$bonline resource.
336 $atext$btxt$2rdacontent
337 $acomputer$bc$2rdamedia
338 $aonline resource$bcr$2rdacarrier
347 $atext file$bPDF$2rda
490 1 $aKluwer Texts in the Mathematical Sciences, A Graduate-Level Book Series,$x0927-4529 ;$v8
520 $aLike other introductions to number theory, this one includes the usual curtsy to divisibility theory, the bow to congruence, and the little chat with quadratic reciprocity. It also includes proofs of results such as Lagrange's Four Square Theorem, the theorem behind Lucas's test for perfect numbers, the theorem that a regular n-gon is constructible just in case phi(n) is a power of 2, the fact that the circle cannot be squared, Dirichlet's theorem on primes in arithmetic progressions, the Prime Number Theorem, and Rademacher's partition theorem. We have made the proofs of these theorems as elementary as possible. Unique to The Queen of Mathematics are its presentations of the topic of palindromic simple continued fractions, an elementary solution of Lucas's square pyramid problem, Baker's solution for simultaneous Fermat equations, an elementary proof of Fermat's polygonal number conjecture, and the Lambek-Moser-Wild theorem.
650 20 $aGeometry.
650 20 $aNumber theory.
650 10 $aMathematics.
650 0 $aMathematics.
650 0 $aGeometry.
650 0 $aNumber theory.
776 08 $iPrinted edition:$z9789401041263
830 0 $aKluwer Texts in the Mathematical Sciences, A Graduate-Level Book Series ;$v8.
988 $a20131119
906 $0VEN