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chaoseverlasting
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I've never studied the number theory before, and its not something I can study as an elective. What good book could I use for self study?
qspeechc said:"An Introduction to the Theory of Numbers" by Niven et.al.
Number theory is a branch of mathematics that deals with the properties and relationships of integers. It involves studying patterns and structures within numbers, as well as their properties and behavior.
Number theory is important because it has many real-world applications, such as in cryptography, coding theory, and computer science. It also helps in understanding the fundamental properties of numbers and their patterns.
Some key concepts in number theory include prime numbers, divisibility, modular arithmetic, Diophantine equations, and the distribution of primes.
Some famous theorems in number theory include Fermat's Last Theorem, the Fundamental Theorem of Arithmetic, the Prime Number Theorem, and the Goldbach Conjecture.
To improve your understanding of number theory, it is important to practice solving problems and proofs, read books and articles on the subject, and participate in discussions with other mathematicians or students. It can also be helpful to take courses or attend lectures on number theory.