Introduction to Number Theory covers the essential content of an introductory number theory course including divisibility and prime factorization, congruences, and quadratic reciprocity. The instructor may also choose from a collection of additional topics.
Aligning with the trend toward smaller, essential texts in mathematics, the author strives for clarity of exposition. Proof techniques and proofs are presented slowly and clearly.
The book employs a versatile approach to the use of algebraic ideas. Instructors who wish to put this material into a broader context may do so, though the author introduces these concepts in a non-essential way.
A final chapter discusses algebraic systems (like the Gaussian integers) presuming no previous exposure to abstract algebra. Studying general systems helps students to realize unique factorization into primes is a more subtle idea than may at first appear; students will find this chapter interesting, fun and quite accessible.
Applications of number theory include several sections on cryptography and other applications to further interest instructors and students alike.
Betal enkelt med kort, Klarna, Apple Pay eller Google Pay. Ikke fornøyd? Du har alltid 14 dagers angrerett. Les mer i våre vilkår. Har du spørsmål, send oss en e-post på hello@memmo.org.
Memmo gjør det enklere å studere – uansett hvor du er i verden. Hos oss samler du pensumbøker og smarte studieverktøy på ett og samme sted: sammendrag, quizer, podkaster og flashcards. Og så Ted, din studiekompis som svarer på alt du lurer på. Over 50 000 studenter studerer allerede her – bygget for at du skal lære raskere og stresse mindre.