This text covers the topic of number theory as applied to a larger historical frame. In addition to livening the text, the historical remarks woven into the text bring out the point that number theory is not a dead art but a living one fed by the efforts of many practitioners. The exercises in the text range in difficulty from the purely mechanical to challenging theoretical questions. The computational exercises aim to develop basic techniques and test understanding of concepts.
Reihe
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Sprache
Verlagsort
Verlagsgruppe
McGraw-Hill Education - Europe
Zielgruppe
Für höhere Schule und Studium
Editions-Typ
Illustrationen
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Gewicht
ISBN-13
978-0-07-009463-5 (9780070094635)
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Schweitzer Klassifikation
Some preliminary considerations; divisibility theory in the integers; primes and ther distribution; the theory of congruences; Fermat's theorem; number-theoretic functions; Euler's generalization of Fermat's theorem; primitive roots and indices; the quadratic reciprocity law; perfect numbers; the Fermat conjecture; representation of integers as sums of squares; Fibonacci numbers; continued fractions; some 20th century developments.
