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PDF Ebook Textbook for Elementary Number Theory, 7th Edition by Kenneth H. Rosen

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Downloadable PDF Ebook Textbook for Elementary Number Theory, 7e 7th Edition by Kenneth H. Rosen. All Chapters are included and original PDF. The Integers Numbers and Sequences Diophantine Approximat ... ion Sums and Products Mathematical Induction The Fibonacci Numbers Divisibility Integer Representations and Operations Representations of Integers Computer Operations with Integers Complexity of Integer Operations Greatest Common Divisors Greatest Common Divisors and Their Properties The Euclidean Algorithm Linear Diophantine Equations Prime Numbers Prime Numbers The Distribution of Primes The Fundamental Theorem of Arithmetic Factorization Methods and the Fermat Numbers Congruences Introduction to Congruences Linear Congruences The Chinese Remainder Theorem Polynomial Congruences Systems of Linear Congruences Applications of Congruences Divisibility Tests The Perpetual Calendar Round-Robin Tournaments Hashing Functions Check Digits Some Special Congruences Wilson's Theorem and Fermat's Little Theorem Pseudoprimes Euler's Theorem Arithmetic Functions The Euler Phi-Function The Sum and Number of Divisors Perfect Numbers and Mersenne Primes Möbius Inversion Partitions Cryptography Character Ciphers Block and Stream Ciphers Exponentiation Ciphers Public Key Cryptography Cryptographic Protocols and Applications Primitive Roots The Order of an Integer and Primitive Roots Primitive Roots for Primes The Existence of Primitive Roots Discrete Logarithms and Index Arithmetic Primality Tests Using Orders of Integers and Primitive Roots Universal Exponents Applications of Primitive Roots and the Order of an Integer Pseudorandom Numbers The EIGamal Cryptosystem An Application to the Splicing of Telephone Cables Quadratic Residues Quadratic Residues and Nonresidues The Law of Quadratic Reciprocity The Jacobi Symbol Euler Pseudoprimes Zero-Knowledge Proofs Decimal Fractions and Continued Fractions Decimal Fractions Finite Continued Fractions Infinite Continued Fractions Periodic Continued Fractions Factoring Using Continued Fractions Nonlinear Diophantine Equations and Elliptic Curves Pythagorean Triples Fermat's Last Theorem Sum of Squares Pell's Equation Congruent Numbers and Elliptic Curves Elliptic Curves Modulo Primes Applications of Elliptic Curves The Gaussian Integers Gaussian Integers and Gaussian Primes Greatest Common Divisors and Unique Factorization Gaussian Integers and Sums of Squares [Show More]

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