Introduction To Number Theory(English, Paperback, Richard Michael Hill)
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Introduction to Number Theory is dedicatedto concrete questions about integers, to placean emphasis on problem solving by students.When undertaking a first course in numbertheory, students enjoy actively engaging withthe properties and relationships of numbers.The book begins with introductory material,including uniqueness of factorization ofintegers and polynomials. Subsequent topicsexplore quadratic reciprocity, Hensel’sLemma, p-adic powers series such as exp(px)and log(1+px), the Euclidean property ofsome quadratic rings, representation ofintegers as norms from quadratic rings, andPell’s equation via continued fractions.Throughout the five chapters and more than100 exercises and solutions, readers gainthe advantage of a number theory book thatfocuses on doing calculations. This textbookis a valuable resource for undergraduates orthose with a background in university levelmathematics.