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kurt.physics
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Is there any good "basic" books on number theory?
Number theory is a branch of mathematics that deals with the study of integers and their properties, patterns, and relationships.
Some important topics in number theory include prime numbers, divisibility, modular arithmetic, Diophantine equations, and the distribution of prime numbers.
Number theory has many practical applications, such as in cryptography, coding theory, and computer science. It is also used in areas like finance, physics, and engineering.
To improve your understanding of number theory, it is recommended to study algebra and number theory textbooks, attend lectures and seminars, and solve practice problems and exercises.
Yes, there are several famous unsolved problems in number theory, such as the Goldbach Conjecture, the Twin Prime Conjecture, and the Riemann Hypothesis. These problems have puzzled mathematicians for centuries and continue to be important areas of research.