Arithmetics

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Focusing on the rich historical context and interdisciplinary nature of number theory, this book offers an elementary introduction to its central topics. The first part is designed for advanced undergraduates, featuring proofs and a variety of exercises. The second part caters to graduate students, introducing elliptic curves and ongoing research themes. It emphasizes the importance of classical concepts, contemporary proofs, and the beauty of arithmetic, making it a valuable resource for students and professional mathematicians alike. Prerequisites include undergraduate algebra and basic topology.