A Computational Introduction to Number Theory and Algebra

Victor Shoup

ISBN 10: 0521516447 / ISBN 13: 9780521516440

Verlag: Cambridge University Press, GB, 2008

Beschreibung

Number theory and algebra play an increasingly significant role in computing and communications, as evidenced by the striking applications of these subjects to such fields as cryptography and coding theory. This introductory book emphasizes algorithms and applications, such as cryptography and error correcting codes, and is accessible to a broad audience. The presentation alternates between theory and applications in order to motivate and illustrate the mathematics. The mathematical coverage includes the basics of number theory, abstract algebra and discrete probability theory. This edition now includes over 150 new exercises, ranging from the routine to the challenging, that flesh out the material presented in the body of the text, and which further develop the theory and present new applications. The material has also been reorganized to improve clarity of exposition and presentation. Ideal as a textbook for introductory courses in number theory and algebra, especially those geared towards computer science students.

Bestandsnummer des Verkäufers LU-9780521516440

Bibliografische Details

• Titel: A Computational Introduction to Number Theory and Algebra
• Verlag: Cambridge University Press, GB
• Erscheinungsjahr: 2008
• Sprache: Englisch
• ISBN-10: 0521516447
• ISBN-13: 9780521516440
• Einband: Hardback
• Auflage: 2nd.
• Zustand: New

Über diesen Titel

Inhaltsangabe

Number theory and algebra play an increasingly significant role in computing and communications, as evidenced by the striking applications of these subjects to such fields as cryptography and coding theory. This introductory book emphasizes algorithms and applications, such as cryptography and error correcting codes, and is accessible to a broad audience. The presentation alternates between theory and applications in order to motivate and illustrate the mathematics. The mathematical coverage includes the basics of number theory, abstract algebra and discrete probability theory. This edition now includes over 150 new exercises, ranging from the routine to the challenging, that flesh out the material presented in the body of the text, and which further develop the theory and present new applications. The material has also been reorganized to improve clarity of exposition and presentation. Ideal as a textbook for introductory courses in number theory and algebra, especially those geared towards computer science students.

Über die Autorin bzw. den Autor

Victor Shoup is a Professor in the Department of Computer Science at the Courant Institute of Mathematical Sciences, New York University.