Topics in Number Theory - Hardcover

Gallitano, Gail; Gupta, Shiv

Hardcover

ISBN 10: 1524948012 ISBN 13: 9781524948016

Verlag: Kendall/Hunt Publishing Co ,U.S., 2017

Inhaltsangabe

Topics in Number Theory is essentially a first course in number theory and as a prerequisite requires familiarity not much more than what is covered in any high school mathematics curriculum. This book is rich in examples. All the basic topic in elementary number theory including congruence, number theoretic functions, quadratic reciprocity, representation of certain primes in the form x² + Ny² using a theorem of Thue, continued fractions and Pell's equation have been presented in appropriate details and illustrated by examples. Chakrav ala 'Algorithm' for finding a solution of Pell's equation is also presented. The discussion of quadratic fields is followed by Euler's proof of Fermat's Last Theorem for exponent three. Several examples of Bachet equations having no solutions whose proofs can be provided based only on congruence arguments are discussed. The discussion of RSA cryptopgraphy is followed by an example using sufficiently large prime numbers. John Conway's doomsday algorithm for finding day of the week is presented and is graphically illustrated by several examples. This book has over one hundred problems of various level of difficulty from very elementary to challenging. Hints of solutions have been provided to most of these problems.

Details zur Ausgabe

• Verlag: Kendall/Hunt Publishing Co ,U.S.
• Erscheinungsdatum: 2017
• Sprache: Englisch
• ISBN 10: 1524948012
• ISBN 13: 9781524948016
• Einband: Gebundene Ausgabe
• Auflage: 1
• Anzahl der Seiten: 304
• Kontakt zum Hersteller: Nicht verfügbar
• Verantwortliche Person: Nicht verfügbar