Dekorationsartikel gehören nicht zum Leistungsumfang.
Sprache:
Englisch
111,95 €*
Versandkostenfrei per Post / DHL
Lieferzeit 1-2 Wochen
Kategorien:
Beschreibung
Elementary Number Theory, Sixth Edition, blends classical theory with modern applications and is notable for its outstanding exercise sets. A full range of exercises, from basic to challenging, helps students explore key concepts and push their understanding to new heights. Computational exercises and computer projects are also available. Reflecting many years of professor feedback, this edition offers new examples, exercises, and applications, while incorporating advancements and discoveries in number theory made in the past few years.
Elementary Number Theory, Sixth Edition, blends classical theory with modern applications and is notable for its outstanding exercise sets. A full range of exercises, from basic to challenging, helps students explore key concepts and push their understanding to new heights. Computational exercises and computer projects are also available. Reflecting many years of professor feedback, this edition offers new examples, exercises, and applications, while incorporating advancements and discoveries in number theory made in the past few years.
Inhaltsverzeichnis
P. What is Number Theory?
1. The Integers.
Numbers and [...] and Products.Mathematical [...] Fibonacci Numbers.
2. Integer Representations and Operations.
Representations of Integers.Computer Operations with Integers.Complexity of Integer Operations.
3. Primes and Greatest Common Divisors.
Prime [...] Distribution of Primes.Greatest Common [...] Euclidean [...] Fundemental Theorem of Arithmetic.Factorization Methods and Fermat Numbers.Linear Diophantine Equations.
4. Congruences.
Introduction to Congruences.Linear [...] Chinese Remainder Theorem.Solving Polynomial Congruences.Systems of Linear Congruences.Factoring Using the Pollard Rho Method.
5. Applications of Congruences.
Divisibility [...] perpetual [...] Robin Tournaments.Hashing [...] Digits.
6. Some Special Congruences.
Wilson's Theorem and Fermat's Little Theorem.[...]'s Theorem.
7. Multiplicative Functions.
The Euler [...] Sum and Number of Divisors.Perfect Numbers and Mersenne Primes.Mobius Inversion.
Partitions.
8. Cryptology.
Character [...] and Stream Ciphers.Exponentiation Ciphers.Knapsack Ciphers.Cryptographic Protocols and Applications.
9. Primitive Roots.
The Order of an Integer and Primitive Roots.Primitive Roots for [...] Existence of Primitive [...] Arithmetic.Primality Tests Using Orders of Integers and Primitive Roots.Universal Exponents.
10. Applications of Primitive Roots and the Order of an Integer.
Pseudorandom [...] EIGamal [...] Application to the Splicing of Telephone Cables.
11. Quadratic Residues.
Quadratic Residues and [...] Law of Quadratic [...] Jacobi [...] [...]-Knowledge Proofs.
12. Decimal Fractions and Continued.
Decimal Fractions.Finite Continued Fractions.Infinite Continued Fractions.Periodic Continued Fractions.Factoring Using Continued Fractions.
13. Some Nonlinear Diophantine Equations.
Pythagorean Triples.Fermat's Last [...] of [...]'s Equation.
Congruent Numbers.
14. The Gaussian Integers.
Gaussian Primes.Unique Factorization of Gaussian Integers.Gaussian Integers and Sums of Squares.
1. The Integers.
Numbers and [...] and Products.Mathematical [...] Fibonacci Numbers.
2. Integer Representations and Operations.
Representations of Integers.Computer Operations with Integers.Complexity of Integer Operations.
3. Primes and Greatest Common Divisors.
Prime [...] Distribution of Primes.Greatest Common [...] Euclidean [...] Fundemental Theorem of Arithmetic.Factorization Methods and Fermat Numbers.Linear Diophantine Equations.
4. Congruences.
Introduction to Congruences.Linear [...] Chinese Remainder Theorem.Solving Polynomial Congruences.Systems of Linear Congruences.Factoring Using the Pollard Rho Method.
5. Applications of Congruences.
Divisibility [...] perpetual [...] Robin Tournaments.Hashing [...] Digits.
6. Some Special Congruences.
Wilson's Theorem and Fermat's Little Theorem.[...]'s Theorem.
7. Multiplicative Functions.
The Euler [...] Sum and Number of Divisors.Perfect Numbers and Mersenne Primes.Mobius Inversion.
Partitions.
8. Cryptology.
Character [...] and Stream Ciphers.Exponentiation Ciphers.Knapsack Ciphers.Cryptographic Protocols and Applications.
9. Primitive Roots.
The Order of an Integer and Primitive Roots.Primitive Roots for [...] Existence of Primitive [...] Arithmetic.Primality Tests Using Orders of Integers and Primitive Roots.Universal Exponents.
10. Applications of Primitive Roots and the Order of an Integer.
Pseudorandom [...] EIGamal [...] Application to the Splicing of Telephone Cables.
11. Quadratic Residues.
Quadratic Residues and [...] Law of Quadratic [...] Jacobi [...] [...]-Knowledge Proofs.
12. Decimal Fractions and Continued.
Decimal Fractions.Finite Continued Fractions.Infinite Continued Fractions.Periodic Continued Fractions.Factoring Using Continued Fractions.
13. Some Nonlinear Diophantine Equations.
Pythagorean Triples.Fermat's Last [...] of [...]'s Equation.
Congruent Numbers.
14. The Gaussian Integers.
Gaussian Primes.Unique Factorization of Gaussian Integers.Gaussian Integers and Sums of Squares.
Details
| Erscheinungsjahr: | 2013 |
|---|---|
| Fachbereich: | Arithmetik & Algebra |
| Genre: | Importe, Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Inhalt: | Kartoniert / Broschiert |
| ISBN-13: | 9781292039541 |
| ISBN-10: | 129203954X |
| Sprache: | Englisch |
| Einband: | Kartoniert / Broschiert |
| Autor: | Rosen, Kenneth |
| Hersteller: | Pearson Education Limited |
| Verantwortliche Person für die EU: | preigu, Ansas Meyer, Lengericher Landstr. 19, D-49078 Osnabrück, mail@preigu.de |
| Maße: | 218 x 274 x 23 mm |
| Von/Mit: | Kenneth Rosen |
| Erscheinungsdatum: | 08.11.2013 |
| Gewicht: | 1,678 kg |
Inhaltsverzeichnis
P. What is Number Theory?
1. The Integers.
Numbers and [...] and Products.Mathematical [...] Fibonacci Numbers.
2. Integer Representations and Operations.
Representations of Integers.Computer Operations with Integers.Complexity of Integer Operations.
3. Primes and Greatest Common Divisors.
Prime [...] Distribution of Primes.Greatest Common [...] Euclidean [...] Fundemental Theorem of Arithmetic.Factorization Methods and Fermat Numbers.Linear Diophantine Equations.
4. Congruences.
Introduction to Congruences.Linear [...] Chinese Remainder Theorem.Solving Polynomial Congruences.Systems of Linear Congruences.Factoring Using the Pollard Rho Method.
5. Applications of Congruences.
Divisibility [...] perpetual [...] Robin Tournaments.Hashing [...] Digits.
6. Some Special Congruences.
Wilson's Theorem and Fermat's Little Theorem.[...]'s Theorem.
7. Multiplicative Functions.
The Euler [...] Sum and Number of Divisors.Perfect Numbers and Mersenne Primes.Mobius Inversion.
Partitions.
8. Cryptology.
Character [...] and Stream Ciphers.Exponentiation Ciphers.Knapsack Ciphers.Cryptographic Protocols and Applications.
9. Primitive Roots.
The Order of an Integer and Primitive Roots.Primitive Roots for [...] Existence of Primitive [...] Arithmetic.Primality Tests Using Orders of Integers and Primitive Roots.Universal Exponents.
10. Applications of Primitive Roots and the Order of an Integer.
Pseudorandom [...] EIGamal [...] Application to the Splicing of Telephone Cables.
11. Quadratic Residues.
Quadratic Residues and [...] Law of Quadratic [...] Jacobi [...] [...]-Knowledge Proofs.
12. Decimal Fractions and Continued.
Decimal Fractions.Finite Continued Fractions.Infinite Continued Fractions.Periodic Continued Fractions.Factoring Using Continued Fractions.
13. Some Nonlinear Diophantine Equations.
Pythagorean Triples.Fermat's Last [...] of [...]'s Equation.
Congruent Numbers.
14. The Gaussian Integers.
Gaussian Primes.Unique Factorization of Gaussian Integers.Gaussian Integers and Sums of Squares.
1. The Integers.
Numbers and [...] and Products.Mathematical [...] Fibonacci Numbers.
2. Integer Representations and Operations.
Representations of Integers.Computer Operations with Integers.Complexity of Integer Operations.
3. Primes and Greatest Common Divisors.
Prime [...] Distribution of Primes.Greatest Common [...] Euclidean [...] Fundemental Theorem of Arithmetic.Factorization Methods and Fermat Numbers.Linear Diophantine Equations.
4. Congruences.
Introduction to Congruences.Linear [...] Chinese Remainder Theorem.Solving Polynomial Congruences.Systems of Linear Congruences.Factoring Using the Pollard Rho Method.
5. Applications of Congruences.
Divisibility [...] perpetual [...] Robin Tournaments.Hashing [...] Digits.
6. Some Special Congruences.
Wilson's Theorem and Fermat's Little Theorem.[...]'s Theorem.
7. Multiplicative Functions.
The Euler [...] Sum and Number of Divisors.Perfect Numbers and Mersenne Primes.Mobius Inversion.
Partitions.
8. Cryptology.
Character [...] and Stream Ciphers.Exponentiation Ciphers.Knapsack Ciphers.Cryptographic Protocols and Applications.
9. Primitive Roots.
The Order of an Integer and Primitive Roots.Primitive Roots for [...] Existence of Primitive [...] Arithmetic.Primality Tests Using Orders of Integers and Primitive Roots.Universal Exponents.
10. Applications of Primitive Roots and the Order of an Integer.
Pseudorandom [...] EIGamal [...] Application to the Splicing of Telephone Cables.
11. Quadratic Residues.
Quadratic Residues and [...] Law of Quadratic [...] Jacobi [...] [...]-Knowledge Proofs.
12. Decimal Fractions and Continued.
Decimal Fractions.Finite Continued Fractions.Infinite Continued Fractions.Periodic Continued Fractions.Factoring Using Continued Fractions.
13. Some Nonlinear Diophantine Equations.
Pythagorean Triples.Fermat's Last [...] of [...]'s Equation.
Congruent Numbers.
14. The Gaussian Integers.
Gaussian Primes.Unique Factorization of Gaussian Integers.Gaussian Integers and Sums of Squares.
Details
| Erscheinungsjahr: | 2013 |
|---|---|
| Fachbereich: | Arithmetik & Algebra |
| Genre: | Importe, Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Inhalt: | Kartoniert / Broschiert |
| ISBN-13: | 9781292039541 |
| ISBN-10: | 129203954X |
| Sprache: | Englisch |
| Einband: | Kartoniert / Broschiert |
| Autor: | Rosen, Kenneth |
| Hersteller: | Pearson Education Limited |
| Verantwortliche Person für die EU: | preigu, Ansas Meyer, Lengericher Landstr. 19, D-49078 Osnabrück, mail@preigu.de |
| Maße: | 218 x 274 x 23 mm |
| Von/Mit: | Kenneth Rosen |
| Erscheinungsdatum: | 08.11.2013 |
| Gewicht: | 1,678 kg |
Sicherheitshinweis
Ähnliche Produkte
Taschenbuch
Lieferzeit 4-7 Werktage
Taschenbuch
Taschenbuch
Lieferzeit 4-7 Werktage
Taschenbuch
Lieferzeit 1-2 Wochen