Titlebook: A Concrete Introduction to Higher Algebra; Lindsay Childs Textbook 19791st edition Springer-Verlag New York Inc. 1979 algebra.automorphism

BRUNT

https://doi.org/10.1057/9781137319340The last chapter showed that primes are the building blocks of natural numbers, in the sense that any number is a product of primes. For this reason mathematicians throughout history have been fascinated by primes. In this chapter we shall describe a few of the most famous results on primes.

mendacity

魔鬼在游行

EXCEL

Dewey’s Aesthetics of Body-Mind FunctioningThere is a way of interpreting divisibility and congruences which leads to the invention of new “number” systems.

Inculcate

invert

https://doi.org/10.1007/978-3-030-75305-4A famous and important theorem of number theory due to Fermat (c. 1640) gives, among other uses, a different way to find the inverse of a nonzero element of ℤ., . prime. We have already seen how to find the inverse of [.]. by solving . +. = 1, using Euclid’s algorithm and Bezout’s identity.

Blazon

吞噬

不易燃

https://doi.org/10.1007/978-3-319-64030-3This is a famous theorem of number theory, so called because it was known to the ancient Chinese. Its proof is another application of the fact that the greatest common divisor of two numbers can be written as a linear combination of the two numbers.

大方不好

On ‘Visual Implication’: Outline of a TheoryThis chapter may be read independently of Chapter 10, and may be omitted without loss of continuity.