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Computer Algebra
Wolfram Koepf (Gebundene Ausgabe, Englisch)
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Beschreibung
This textbook offers an algorithmic introduction to the field of computer algebra. A leading expert in the field, the author guides readers through numerous hands-on tutorials designed to build practical skills and algorithmic thinking. This implementation-oriented approach equips readers with versatile tools that can be used to enhance studies in mathematical theory, applications, or teaching.… Presented using Mathematica code, the book is fully supported by downloadable sessions in Mathematica , Maple , and Maxima . Opening with an introduction to computer algebra systems and the basics of programming mathematical algorithms, the book goes on to explore integer arithmetic. A chapter on modular arithmetic completes the number-theoretic foundations, which are then applied to coding theory and cryptography. From here, the focus shifts to polynomial arithmetic and algebraic numbers, with modern algorithms allowing the efficient factorization of polynomials. The final chapters offer extensions into more advanced topics: simplification and normal forms, power series, summation formulas, and integration. Computer Algebra is an indispensable resource for mathematics and computer science students new to the field. Numerous examples illustrate algorithms and their implementation throughout, with online support materials to encourage hands-on exploration. Prerequisites are minimal, with only a knowledge of calculus and linear algebra assumed. In addition to classroom use, the elementary approach and detailed index make this book an ideal reference for algorithms in computer algebra. Dieses Produkt haben wir gerade leider nicht auf Lager.
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Technische Daten
Erscheinungsdatum
12.07.2021
Sprache
Englisch
EAN
9783030780166
Herausgeber
Springer International Publishing
Serien- oder Bandtitel
Springer Undergraduate Texts in Mathematics and Technology
Sonderedition
Nein
Autor
Wolfram Koepf
Seitenanzahl
384
Einbandart
Gebundene Ausgabe
Buch Untertitel
An Algorithm-Oriented Introduction
Schlagwörter
Computer algebra textbook, Computer algebra reference, Maple algebra, Mathematica algebra, Maxima algebra, Coding theory computer algebra, Cryptography computer algebra, Computer algebra programming, Computer algebra algorithms, Polynomial multiplication fast algorithm, Efficient factorization in polynomial rings, Algorithmic summation, Algorithmic integration, Computer algebra for high school teachers
Thema-Inhalt
PBF - Algebra
UYAM - Mathematik für Informatiker
UMB - Algorithmen und Datenstrukturen
UFM - Mathematische und statistische Software
Höhe
254 mm
Breite
17.8 cm
Hersteller: Palgrave Macmillan, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com, Springer Nature Customer Service Center GmbH
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