skip to content
Modern computer algebra Preview this item
ClosePreview this item
Checking...

Modern computer algebra

Author: Gerhard, J�urgen, ; Joachim von zur Gathen; Jürgen Gerhard
Publisher: Cambridge ; New York : Cambridge University Press, 1999.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
Computer algebra systems are gaining more and more importance in all areas of science and engineering. This textbook gives a thorough introduction to the subject, which is the basis of the mathematical engine in computer algebra systems.
Rating:

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

Subjects
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...

Details

Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Gerhard, J�urgen, ; Joachim von zur Gathen; Jürgen Gerhard
ISBN: 0521641764 9780521641760
OCLC Number: 41419772
Description: xiii, 753 pages : illustrations (some color), portraits (some color) ; 26 cm
Contents: 1. Cyclohexane, cryptography, codes, and computer algebra --
I. Euclid --
2. Fundamental algorithms --
3. The Euclidean Algorithm --
4. Applications of the Euclidean Algorithm --
5. Modular algorithms and interpolation --
6. The resultant and gcd computation --
7. Application: Decoding BCH codes --
II. Newton --
8. Fast multiplication --
9. Newton iteration --
10. Fast polynomial evaluation and interpolation --
11. Fast Euclidean Algorithm --
12. Fast linear algebra --
13. Fourier Transform and image compression --
III. Gauss --
14. Factoring polynomials over finite fields --
15. Hensel lifting and factoring polynomials --
16. Short vectors in lattices --
17. Applications of basis reduction --
IV. Fermat --
18. Primality testing --
19. Factoring integers --
20. Application: Public key cryptography --
V. Hilbert --
21. Grobner bases --
22. Symbolic integration --
23. Symbolic summation --
24. Applications --
25. Fundamental concepts.
Responsibility: Joachim von zur Gathen and Jürgen Gerhard.
More information:

Abstract:

Computer algebra systems are gaining more and more importance in all areas of science and engineering. This textbook gives a thorough introduction to the subject. It is designed as a textbook for  Read more...

Reviews

Editorial reviews

Publisher Synopsis

' ... a most fascinating and readable survey of methods that are used by modern Computer Algebra Systems (CAS's). This book is a delight; I heartly recommend it (a) to anybody who has any interest at Read more...

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

Tags

Be the first.
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

<http://www.worldcat.org/oclc/41419772> # Modern computer algebra
    a schema:CreativeWork, schema:Book ;
    library:oclcnum "41419772" ;
    library:placeOfPublication <http://id.loc.gov/vocabulary/countries/enk> ;
    library:placeOfPublication <http://experiment.worldcat.org/entity/work/data/710938#Place/cambridge> ; # Cambridge
    library:placeOfPublication <http://dbpedia.org/resource/New_York_City> ; # New York
    schema:about <http://experiment.worldcat.org/entity/work/data/710938#Topic/algorithmes> ; # Algorithmes
    schema:about <http://id.worldcat.org/fast/872460> ; # Computer science--Mathematics
    schema:about <http://id.worldcat.org/fast/804890> ; # Algebra--Data processing
    schema:about <http://id.loc.gov/authorities/subjects/sh2007100982> ; # Algebra--Data processing
    schema:about <http://experiment.worldcat.org/entity/work/data/710938#Topic/algebre_informatique> ; # Algèbre--Informatique
    schema:about <http://dewey.info/class/512.00285/e21/> ;
    schema:about <http://experiment.worldcat.org/entity/work/data/710938#Topic/calcul_formel> ; # Calcul formel
    schema:about <http://experiment.worldcat.org/entity/work/data/710938#Topic/algoritmen> ; # Algoritmen
    schema:about <http://experiment.worldcat.org/entity/work/data/710938#Topic/algebra_data_processing> ; # Algebra--Data processing
    schema:about <http://experiment.worldcat.org/entity/work/data/710938#Topic/informatique_mathematiques> ; # Informatique--Mathématiques
    schema:about <http://experiment.worldcat.org/entity/work/data/710938#Topic/algorithmus> ; # Algorithmus
    schema:about <http://id.loc.gov/authorities/subjects/sh85042295> ; # Computer science--Mathematics
    schema:about <http://experiment.worldcat.org/entity/work/data/710938#Topic/computer_science_mathematics> ; # Computer science--Mathematics
    schema:about <http://experiment.worldcat.org/entity/work/data/710938#Topic/algebra> ; # Algebra
    schema:about <http://experiment.worldcat.org/entity/work/data/710938#Topic/computeralgebra> ; # Computeralgebra
    schema:about <http://id.worldcat.org/fast/872010> ; # Computer algorithms
    schema:about <http://experiment.worldcat.org/entity/work/data/710938#Topic/computerwiskunde> ; # Computerwiskunde
    schema:bookFormat bgn:PrintBook ;
    schema:contributor <http://viaf.org/viaf/85489973> ; # Jürgen Gerhard
    schema:creator <http://viaf.org/viaf/10094578> ; # Joachim von zur Gathen
    schema:datePublished "1999" ;
    schema:description "Computer algebra systems are gaining more and more importance in all areas of science and engineering. This textbook gives a thorough introduction to the subject, which is the basis of the mathematical engine in computer algebra systems."@en ;
    schema:description "1. Cyclohexane, cryptography, codes, and computer algebra -- I. Euclid -- 2. Fundamental algorithms -- 3. The Euclidean Algorithm -- 4. Applications of the Euclidean Algorithm -- 5. Modular algorithms and interpolation -- 6. The resultant and gcd computation -- 7. Application: Decoding BCH codes -- II. Newton -- 8. Fast multiplication -- 9. Newton iteration -- 10. Fast polynomial evaluation and interpolation -- 11. Fast Euclidean Algorithm -- 12. Fast linear algebra -- 13. Fourier Transform and image compression -- III. Gauss -- 14. Factoring polynomials over finite fields -- 15. Hensel lifting and factoring polynomials -- 16. Short vectors in lattices -- 17. Applications of basis reduction -- IV. Fermat -- 18. Primality testing -- 19. Factoring integers -- 20. Application: Public key cryptography -- V. Hilbert -- 21. Grobner bases -- 22. Symbolic integration -- 23. Symbolic summation -- 24. Applications -- 25. Fundamental concepts."@en ;
    schema:exampleOfWork <http://worldcat.org/entity/work/id/710938> ;
    schema:inLanguage "en" ;
    schema:name "Modern computer algebra"@en ;
    schema:productID "41419772" ;
    schema:publication <http://www.worldcat.org/title/-/oclc/41419772#PublicationEvent/cambridge_new_york_cambridge_university_press_1999> ;
    schema:publisher <http://experiment.worldcat.org/entity/work/data/710938#Agent/cambridge_university_press> ; # Cambridge University Press
    schema:url <http://catdir.loc.gov/catdir/toc/cam027/99232072.html> ;
    schema:url <http://www-math.uni-paderborn.de/mca> ;
    schema:workExample <http://worldcat.org/isbn/9780521641760> ;
    umbel:isLike <http://bnb.data.bl.uk/id/resource/GB98X2345> ;
    wdrs:describedby <http://www.worldcat.org/title/-/oclc/41419772> ;
    .


Related Entities

<http://dbpedia.org/resource/New_York_City> # New York
    a schema:Place ;
    schema:name "New York" ;
    .

<http://experiment.worldcat.org/entity/work/data/710938#Agent/cambridge_university_press> # Cambridge University Press
    a bgn:Agent ;
    schema:name "Cambridge University Press" ;
    .

<http://experiment.worldcat.org/entity/work/data/710938#Topic/algebra_data_processing> # Algebra--Data processing
    a schema:Intangible ;
    schema:name "Algebra--Data processing"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/710938#Topic/algebre_informatique> # Algèbre--Informatique
    a schema:Intangible ;
    schema:name "Algèbre--Informatique"@fr ;
    .

<http://experiment.worldcat.org/entity/work/data/710938#Topic/algorithmes> # Algorithmes
    a schema:Intangible ;
    schema:name "Algorithmes"@en ;
    schema:name "Algorithmes"@fr ;
    .

<http://experiment.worldcat.org/entity/work/data/710938#Topic/computer_science_mathematics> # Computer science--Mathematics
    a schema:Intangible ;
    schema:name "Computer science--Mathematics"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/710938#Topic/computeralgebra> # Computeralgebra
    a schema:Intangible ;
    schema:name "Computeralgebra"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/710938#Topic/computerwiskunde> # Computerwiskunde
    a schema:Intangible ;
    schema:name "Computerwiskunde"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/710938#Topic/informatique_mathematiques> # Informatique--Mathématiques
    a schema:Intangible ;
    schema:name "Informatique--Mathématiques"@en ;
    schema:name "Informatique--Mathématiques"@fr ;
    .

<http://id.loc.gov/authorities/subjects/sh2007100982> # Algebra--Data processing
    a schema:Intangible ;
    schema:name "Algebra--Data processing"@en ;
    .

<http://id.loc.gov/authorities/subjects/sh85042295> # Computer science--Mathematics
    a schema:Intangible ;
    schema:name "Computer science--Mathematics"@en ;
    .

<http://id.worldcat.org/fast/804890> # Algebra--Data processing
    a schema:Intangible ;
    schema:name "Algebra--Data processing"@en ;
    .

<http://id.worldcat.org/fast/872010> # Computer algorithms
    a schema:Intangible ;
    schema:name "Computer algorithms"@en ;
    .

<http://id.worldcat.org/fast/872460> # Computer science--Mathematics
    a schema:Intangible ;
    schema:name "Computer science--Mathematics"@en ;
    .

<http://viaf.org/viaf/10094578> # Joachim von zur Gathen
    a schema:Person ;
    schema:familyName "Gathen" ;
    schema:givenName "Joachim von zur" ;
    schema:name "Joachim von zur Gathen" ;
    .

<http://viaf.org/viaf/85489973> # Jürgen Gerhard
    a schema:Person ;
    schema:birthDate "1967" ;
    schema:familyName "Gerhard" ;
    schema:givenName "Jürgen" ;
    schema:name "Jürgen Gerhard" ;
    .

<http://worldcat.org/isbn/9780521641760>
    a schema:ProductModel ;
    schema:isbn "0521641764" ;
    schema:isbn "9780521641760" ;
    .

<http://www-math.uni-paderborn.de/mca>
    rdfs:comment "solutions des exercices, commentaires" ;
    .


Content-negotiable representations

Close Window

Please sign in to WorldCat 

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