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Elementary Number Theory - David M. Burton

Elementary Number Theory

(Autor)

Buch | Hardcover
432 Seiten
2001 | 5th Revised edition
McGraw-Hill Publishing Co. (Verlag)
978-0-07-232569-0 (ISBN)
CHF 179,95 inkl. MwSt
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Provides an account of classical number theory, as well as some of the historical background in which the subject evolved. This work is intended for use in a one-semester, undergraduate number theory course taken primarily by mathematics majors, and students preparing to be secondary school teachers.
This text provides a simple account of classical number theory, as well as some of the historical background in which the subject evolved. It is intended for use in a one-semester, undergraduate number theory course taken primarily by mathematics majors, and students preparing to be secondary school teachers. Although the text was written with this audience in mind, very few formal prerequisites are required. Much of the text can be read by students with a sound background in high school mathematics.

1. Some Preliminary Considerations. 2. Divisibility Theory in the Integers. 3. Primes and Their Distribution. 4. The Theory of Congruences. 5. Fermat's Theorem. 6. Number-Theoretic Functions. 7. Euler's Generalization of Fermat's Theorem. 8. Primitive Roots and Indices. 9. The Quadratic Reciprocity Law. 10. Perfect Numbers. 11. The Fermat Conjecture. 12. Representation of Integers as Sums of Squares. 13. Fibonacci Numbers. 14. Continued Fractions. 15. Some Twentieth-Century Developments.

Erscheint lt. Verlag 1.8.2001
Reihe/Serie International Series in Pure & Applied Mathematics
Zusatzinfo illustrations, portraits
Verlagsort London
Sprache englisch
Maße 167 x 242 mm
Gewicht 734 g
Themenwelt Mathematik / Informatik Mathematik Arithmetik / Zahlentheorie
ISBN-10 0-07-232569-0 / 0072325690
ISBN-13 978-0-07-232569-0 / 9780072325690
Zustand Neuware
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