TY - DATA AU - Takloo-Bighash, Ramin TI - A pythagorean introduction to number theory: right triangles sums of squares and arithmetic T2 - Undergraduate Texts in Mathematics, SN - 9783030026042 (E-book) AV - QA 241 T34P 2018 PY - 2018/// CY - Cham, Switzerland PB - Springer KW - PYTHAGOREAN THEOREM KW - NUMBERS, THEORY N1 - Includes appendix and index; Introduction -- 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 -- 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? UR - https://drive.google.com/file/d/1z58GXA33amDJkDb5hMqeQ3rtWUIkXrBI/view?usp=sharing ER -