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Number Theory [Dujella] - mklabgr - 09-15-2026
The Mathematical Association of America’s Number Theory review collection brings together reviews of a broad range of books spanning elementary, undergraduate, graduate, historical, computational, analytic, and algebraic number theory. The collection includes textbooks, problem books, and research-oriented works, covering subjects such as divisibility, congruences, quadratic residues, Diophantine equations, prime numbers, arithmetic functions, quadratic fields, elliptic curves, and analytic number theory. Recent entries include works such as Topology of Numbers, Explorations in Number Theory, Multiplicative Number Theory I, and Number Theory Through the Eyes of Sophie Germain.
A major strength of the MAA collection is that the reviews evaluate books not only for mathematical content but also for teaching suitability, level, exercises, exposition, and prerequisites. Some books are praised for accessibility and historical motivation—for example, Granville’s Number Theory Revealed is described as conversational, rich in examples, problems, historical connections, and modern developments—while others deliberately provide much greater breadth and depth for advanced undergraduate or graduate students. Overall, the page is a useful curated guide for choosing a number-theory book according to one's goals, from learning elementary techniques and solving Olympiad-style problems to progressing toward modern research.
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