NUST Institutions Library Catalogue

What 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).