000 02685cam a2200409Ii 4500
001 9780429171970
008 180706s2014 fluab ob 001 0 eng d
020 _a9780429171970
_q(e-book : PDF)
024 7 _a10.1201/b17760
_2doi
035 _a(OCoLC)927491561
040 _aFlBoTFG
_cFlBoTFG
_erda
050 4 _aQA241
072 7 _aMAT
_x002000
_2bisacsh
072 7 _aMAT
_x022000
_2bisacsh
072 7 _aMAT
_x036000
_2bisacsh
072 7 _aPBH
_2bicscc
082 0 4 _a512.7/2
_223
100 1 _aKraft, James S.,
_eauthor.
_915664
245 1 0 _aElementary number theory /
_cby James S. Kraft and Lawrence C. Washington.
250 _aFirst edition.
264 1 _aBoca Raton, FL :
_bChapman and Hall/CRC, an imprint of Taylor and Francis,
_c2014.
300 _a1 online resource (411 pages) :
_b9 illustrations
336 _atext
_2rdacontent
337 _acomputer
_2rdamedia
338 _aonline resource
_2rdacarrier
505 0 _achapter Introduction -- chapter 1 - Divisibility -- chapter 2 - Linear Diophantine Equations -- chapter 3 - Unique Factorization -- chapter 4 - Applications of Unique Factorization -- chapter 5 - Congruences -- chapter 6 - Fermat, Euler, Wilson -- chapter 7 - Cryptographic Applications -- chapter 8 - Order and Primitive Roots -- chapter 9 - More Cryptographic Applications -- chapter 10 - Quadratic Reciprocity -- chapter 11 - Primality and Factorization -- chapter 12 - Sums of Squares -- chapter 13 - Arithmetic Functions -- chapter 14 - Continued Fractions -- chapter 15 - Recent Developments.
520 3 _aElementary Number Theory takes an accessible approach to teaching students about the role of number theory in pure mathematics and its important applications to cryptography and other areas. The first chapter of the book explains how to do proofs and includes a brief discussion of lemmas, propositions, theorems, and corollaries. The core of the text covers linear Diophantine equations; unique factorization; congruences; Fermat's, Euler's, and Wilson's theorems; order and primitive roots; and quadratic reciprocity. The authors also discuss numerous cryptographic topics, such as RSA and discrete logarithms, along with recent developments.
650 0 _aNumber theory.
_913208
650 7 _aMATHEMATICS / Algebra / Intermediate.
_2bisacsh
_910716
650 7 _aMATHEMATICS / Combinatorics.
_2bisacsh
_910914
650 7 _aMATHEMATICS / Number Theory.
_2bisacsh
_915665
700 1 _aWashington, Lawrence C.,
_eauthor.
_915666
710 2 _aTaylor and Francis.
_910719
776 0 8 _iPrint version:
_z9781498702683
856 4 0 _uhttps://www.taylorfrancis.com/books/9781498702690
_zClick here to view.
942 _cEBK
999 _c71054
_d71054