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maverickmathematics
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For all those starting on number theory, here are some notes from the Cambridge first year syllabus.
They cover diaphatine equations etc.
Regards,
M
They cover diaphatine equations etc.
Regards,
M
Your link doesn't work, it's the way you've wrote it or something, for other people here it is: http://www.dpmms.cam.ac.uk/~wtg10/mathsindex.htmlmaverickmathematics said:For all those starting on number theory, here are some notes from the Cambridge first year syllabus.
They cover diaphatine equations etc.
Regards,
M
Number theory is a branch of mathematics that studies the properties and relationships of numbers, particularly integers. It deals with topics such as prime numbers, divisibility, and modular arithmetic.
Number theory has many practical applications, such as in cryptography and computer science. It also helps us understand the patterns and structures within numbers, providing insights into the nature of mathematics itself.
Some key concepts in number theory include prime numbers, divisibility, congruences, and Diophantine equations. These concepts are fundamental to understanding the properties of integers and their relationships.
Number theory has practical applications in fields such as cryptography, computer science, and coding theory. It is also used in various areas of engineering, including signal processing and error-correcting codes.
Some famous theorems in number theory include the Fundamental Theorem of Arithmetic, the Euclidean algorithm, Fermat's Last Theorem, and the Prime Number Theorem. These theorems have had a significant impact on the development of mathematics.