Undergraduate mathematics students need both to develop facility with numerical and symbolic calculation and comfort with abstraction algebraic number theory offers an ideal context for encountering the synthesis of these goals. This undergraduate textbook provides an approachable and thorough introduction to the topic of algebraic number theory taking the reader from unique factorisation in the integers through to the modern day number field sieve the first few chapters consider the importance of arithmetic in fields larger than the rational numbers. Algebraic number theory offers an ideal context for encountering the synthesis of these goals one could compile a shelf of graduate level expositions of algebraic number theory and another shelf of undergraduate general number theory texts that culminate with a first exposure to it summing up highly recommended. Springer undergraduate mathematics series on springer kustantamon kirjasarja joka on tarkoitettu matematiikan opiskeluun korkeakouluissa kirjat on kirjoitettu perustutkinto opiskelijoita sarjassa on panostettu moderniin lahestymistapaan ja runsaisaisiin seikkaperaisiin esimerkkeihin
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