A pythagorean introduction to number theory

Continued part 1, part 2 of ebook "A pythagorean introduction to number theory: Right triangles, sums of squares, and arithmetic" has presents the following content: advanced topics; counting pythagorean triples modulo an integer; how many lattice points are there on a circle or a sphere; what about geometry; another proof of the four squares theorem; quadratic forms and sums of squares; how many pythagorean triples are there; how are rational points distributed, really;...

143p dieptieuung 20-07-2023 4 3   Download

Part 1 of ebook "A pythagorean introduction to number theory: Right triangles, sums of squares, and arithmetic" has presents the following content: foundational material; basic number theory; integral solutions to the pythagorean equation; what integers are areas of right triangles; what numbers are the edges of a right triangle; primes of the form 4k+1; gauss sums, quadratic reciprocity, and the jacobi symbol;...

143p dieptieuung 20-07-2023 4 2   Download