skip to content
Elementary number theory and its applications Preview this item
ClosePreview this item

Elementary number theory and its applications

Author: Kenneth H Rosen
Publisher: Boston : Pearson, Addison Wesley, ©2005.
Edition/Format:   Print book : English : 5. ed., internat. edView all editions and formats

(not yet rated) 0 with reviews - Be the first.

More like this

Find a copy online

Links to this item

Find a copy in the library

&AllPage.SpinnerRetrieving; Finding libraries that hold this item...


Genre/Form: Lehrbuch
Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Kenneth H Rosen
ISBN: 0321237072 9780321237071 0321263146 9780321263148
OCLC Number: 266136313
Notes: Literaturverz. S. 689 - 701.
Description: xx, 721 Seiten : Illustrationen, Diagramme ; 25 cm
Contents: P. What is Number Theory? 1. The Integers. Numbers and Sequences.Sums and Products.Mathematical Induction.The 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 Numbers.The Distribution of Primes.Greatest Common Divisors.The Euclidean Algorithm.The Fundemental Theorem of Arithmetic.Factorization Methods and Fermat Numbers.Linear Diophantine Equations.4. Congruences. Introduction to Congruences.Linear Congrences.The Chinese Remainder Theorem.Solving Polynomial Congruences.Systems of Linear Congruences.Factoring Using the Pollard Rho Method.5. Applications of Congruences. Divisibility Tests.The perpetual Calendar.Round Robin Tournaments.Hashing Functions.Check Digits.6. Some Special Congruences. Wilson's Theorem and Fermat's Little Theorem.Pseudoprimes.Euler's Theorem.7. Multiplicative Functions. The Euler Phi-Function.The Sum and Number of Divisors.Perfect Numbers and Mersenne Primes.Mobius Inversion.8. Cryptology. Character Ciphers.Block 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 Primes.The Existence of Primitive Roots.Index Arithmetic.Primality Tests Using Orders of Integers and Primitive Roots.Universal Exponents.10. Applications of Primitive Roots and the Order of an Integer. Pseudorandom Numbers.The EIGamal Cryptosystem.An Application to the Splicing of Telephone Cables.11. Quadratic Residues. Quadratic Residues and nonresidues.The Law of Quadratic Reciprocity.The Jacobi Symbol.Euler Pseudoprimes.Zero-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 Theorem.Sums of Squares.Pell's Equation.14. The Gaussian Integers. Gaussian Primes.Unique Factorization of Gaussian Integers.Gaussian Integers and Sums of Squares.
Other Titles: Elementary number theory
Responsibility: Kenneth H. Rosen.


User-contributed reviews
Retrieving GoodReads reviews...
Retrieving DOGObooks reviews...


Be the first.

Similar Items

Confirm this request

You may have already requested this item. Please select Ok if you would like to proceed with this request anyway.

Linked Data

Primary Entity

<> # Elementary number theory and its applications
    a schema:CreativeWork, schema:Book ;
   library:oclcnum "266136313" ;
   library:placeOfPublication <> ; # Boston
   library:placeOfPublication <> ;
   schema:about <> ; # Number theory
   schema:about <> ; # Zahlentheorie
   schema:about <> ; # Number theory
   schema:about <> ;
   schema:alternateName "Elementary number theory" ;
   schema:author <> ; # Kenneth H. Rosen
   schema:bookEdition "5. ed., internat. ed." ;
   schema:bookFormat bgn:PrintBook ;
   schema:copyrightYear "2005" ;
   schema:datePublished "2005" ;
   schema:exampleOfWork <> ;
   schema:genre "Lehrbuch" ;
   schema:inLanguage "en" ;
   schema:name "Elementary number theory and its applications" ;
   schema:productID "266136313" ;
   schema:publication <> ;
   schema:publisher <> ; # Pearson, Addison Wesley
   schema:url <> ;
   schema:workExample <> ;
   schema:workExample <> ;
   wdrs:describedby <> ;

Related Entities

<> # Boston
    a schema:Place ;
   schema:name "Boston" ;

<> # Pearson, Addison Wesley
    a bgn:Agent ;
   schema:name "Pearson, Addison Wesley" ;

<> # Number theory
    a schema:Intangible ;
   schema:name "Number theory" ;

<> # Kenneth H. Rosen
    a schema:Person ;
   schema:familyName "Rosen" ;
   schema:givenName "Kenneth H." ;
   schema:name "Kenneth H. Rosen" ;

    a schema:ProductModel ;
   schema:isbn "0321237072" ;
   schema:isbn "9780321237071" ;

    a schema:ProductModel ;
   schema:isbn "0321263146" ;
   schema:isbn "9780321263148" ;

Content-negotiable representations

Close Window

Please sign in to WorldCat 

Don't have an account? You can easily create a free account.