Springer Undergraduate Mathematics Series: Elementary Number Theory

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This book aims to provide an elementary introduction to number theory that requires minimal mathematical background, allowing readers to engage with the material independently. The initial chapters are grounded in A-level mathematics, while subsequent ones introduce basic group theory. Advanced topics, including recent developments, are covered in the final chapters, necessitating some familiarity with first-year undergraduate mathematics concepts. The authors prioritize clarity and thorough explanations, featuring numerous worked examples and outline solutions for exercises. Number theory is chosen for its rich history and significant contributions from renowned mathematicians, making it an excellent lens through which to explore the evolution of mathematics, including its successes and failures. The explicit nature of number theory's problems, which focus on fundamental properties of integers, renders it particularly accessible for presenting modern mathematical concepts in an elementary fashion.