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Englisch
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Beschreibung
Now in its third edition, this highly successful textbook is widely regarded as the 'bible of computer algebra'.
Now in its third edition, this highly successful textbook is widely regarded as the 'bible of computer algebra'.
Über den Autor
Joachim von zur Gathen has a PhD from Universität Zürich and has taught at the University of Toronto and the University of Paderborn. He is currently a professor at the Bonn-Aachen International Center for Information Technology (B-IT) and the Department of Computer Science at Universität Bonn.
Inhaltsverzeichnis
Introduction; 1. Cyclohexane, cryptography, codes, and computer algebra; Part 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; Part 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; Part III. Gauß: 14. Factoring polynomials over finite fields; 15. Hensel lifting and factoring polynomials; 16. Short vectors in lattices; 17. Applications of basis reduction; Part IV. Fermat: 18. Primality testing; 19. Factoring integers; 20. Application: public key cryptography; Part V. Hilbert: 21. Gröbner bases; 22. Symbolic integration; 23. Symbolic summation; 24. Applications; Appendix: 25. Fundamental concepts; Sources of illustrations; Sources of quotations; List of algorithms; List of figures and tables; References; List of notation; Index.
Details
Erscheinungsjahr: | 2017 |
---|---|
Genre: | Informatik |
Rubrik: | Naturwissenschaften & Technik |
Medium: | Buch |
ISBN-13: | 9781107039032 |
ISBN-10: | 1107039037 |
Sprache: | Englisch |
Ausstattung / Beilage: | HC gerader Rücken kaschiert |
Einband: | Gebunden |
Autor: |
zur Gathen, Joachim von
Gerhard, Jürgen |
Hersteller: | Cambridge University Press |
Maße: | 250 x 175 x 48 mm |
Von/Mit: | Joachim von zur Gathen (u. a.) |
Erscheinungsdatum: | 30.03.2017 |
Gewicht: | 1,555 kg |
Über den Autor
Joachim von zur Gathen has a PhD from Universität Zürich and has taught at the University of Toronto and the University of Paderborn. He is currently a professor at the Bonn-Aachen International Center for Information Technology (B-IT) and the Department of Computer Science at Universität Bonn.
Inhaltsverzeichnis
Introduction; 1. Cyclohexane, cryptography, codes, and computer algebra; Part 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; Part 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; Part III. Gauß: 14. Factoring polynomials over finite fields; 15. Hensel lifting and factoring polynomials; 16. Short vectors in lattices; 17. Applications of basis reduction; Part IV. Fermat: 18. Primality testing; 19. Factoring integers; 20. Application: public key cryptography; Part V. Hilbert: 21. Gröbner bases; 22. Symbolic integration; 23. Symbolic summation; 24. Applications; Appendix: 25. Fundamental concepts; Sources of illustrations; Sources of quotations; List of algorithms; List of figures and tables; References; List of notation; Index.
Details
Erscheinungsjahr: | 2017 |
---|---|
Genre: | Informatik |
Rubrik: | Naturwissenschaften & Technik |
Medium: | Buch |
ISBN-13: | 9781107039032 |
ISBN-10: | 1107039037 |
Sprache: | Englisch |
Ausstattung / Beilage: | HC gerader Rücken kaschiert |
Einband: | Gebunden |
Autor: |
zur Gathen, Joachim von
Gerhard, Jürgen |
Hersteller: | Cambridge University Press |
Maße: | 250 x 175 x 48 mm |
Von/Mit: | Joachim von zur Gathen (u. a.) |
Erscheinungsdatum: | 30.03.2017 |
Gewicht: | 1,555 kg |
Warnhinweis