000 03145cam a2200289 a 4500
001 16892773
003 NUST
005 20221026093307.0
008 110728s2013 maua b 001 0 eng
010 _a 2011027942
020 _a978-93-325-3523-7
035 _a(OCoLC)ocn743432090
040 _aDLC
_cDLC
_dYDX
_dPUL
_dYDXCP
_dBWX
_dDLC
042 _apcc
050 0 0 _aQA241
_b.S497 2013
082 0 0 _a512.7, SIL
_222
100 1 _aSilverman, Joseph H.,
_d1955-
_9101409
245 1 2 _aA friendly introduction to number theory /
_cJoseph H. Silverman.
250 _a4th ed.
260 _aUK
_bPearson,
_cc2014.
300 _a460: pages
_bill. ;
_c24 cm.
505 _aWhat Is Number Theory? (Page-1), Pythagorean Triples (Page-9),Pythagorean Triples and the Unit Circle (Page-17),Sums of Higher Powers and Fermat’s Last Theorem (Page-23),Divisibility and the Greatest Common Divisor (Page-29),Linear Equations and the Greatest Common Divisor (Page-37),Factorization and the Fundamental Theorem of Arithmetic (Page-47),Congruences (Page-57),Congruences, Powers, and Fermat’s Little Theorem (Page-67),Congruences, Powers, and Euler’s Formula (Page-73),Euler’s Phi Function and the Chinese Remainder Theorem (Page-77),Prime Numbers (Page-85),Counting Primes (Page-93),Mersenne Primes (Page-101),Mersenne Primes and Perfect Numbers (Page-107),Powers Modulo m and Successive Squaring (Page-117), Computing kth Roots Modulo m (Page-125),Powers, Roots, and “Unbreakable” Codes (Page-131),Primality Testing and Carmichael Numbers (Page-137),Squares Modulo p (Page-149),Quadratic Reciprocity (Page-157),Proof of Quadratic Reciprocity (Page-169),Which Primes Are Sums of Two Squares? (Page-179),Which Numbers Are Sums of Two Squares? (Page-191), As Easy as One, Two, Three (Page-197),Euler’s Phi Function and Sums of Divisors (Page-203),Powers Modulo p and Primitive Roots (Page-217),Primitive Roots and Indices (Page-225),The Equation X4 + Y4 = Z4 (Page-231),Pell’s Equation (Page-241),Diophantine Approximation (Page-247),Diophantine Approximation and Pell’s Equation (Page-257),Number Theory and Imaginary Numbers (Page-265),The Gaussian Integers and Unique Factorization (Page-279),Irrational Numbers and Transcendental Numbers (Page-295), Binomial Coefficients and Pascal’s Triangle (Page-311),Fibonacci’s Rabbits and Linear Recurrence Sequences (Page-323),Cubic Curves and Elliptic Curves (Page-339),Elliptic Curves with Few Rational Points (Page-353),Points on Elliptic Curves Modulo p (Page-361),Torsion Collections Modulo p and Bad Primes (Page-373),Defect Bounds and Modularity Patterns (Page-379),Elliptic Curves and Fermat’s Last Theorem (Page-387),The Topsy-Turvey World of Continued Fractions [online] (Page-391),Continued Fractions, Square Roots, and Pell’s Equation [online] (Page-409),Generating Functions [online] (Page-427),Sums of Powers [online] (Page-439).
650 0 _aNumber theory
_vTextbooks.
_9101410
906 _a7
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