Elementary Methods in Number Theory

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Focusing on foundational concepts, this book serves as an introductory course in number theory, covering topics like divisibility, prime numbers, and congruences. It presents advanced results through elementary methods, including the Erdös-Selberg proof of the prime number theorem and Dirichlet’s theorem on primes in progressions. Additionally, it explores additive number theory, addressing Warings problems and partition functions. Authored by Melvyn B. Nathanson, a mathematics professor, the text combines rigorous theory with accessible explanations for newcomers.