TY  - BOOK
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
AV  - QA241 .T35 2018
U1  - 512.7 23
PY  - 2018///]
CY  - Cham, Switzerland
PB  - Springer
KW  - Number theory
KW  - Pythagorean theorem
KW  - Number Theory
KW  - fast
KW  - Electronic books
N1  - Academic; Part I Foundational Material -- 1. Introduction -- 2. Basic number theory -- 3. Integral solutions to the Pythagorean Equation -- 4. What integers are areas of right triangles? -- 5. What numbers are the edges of a right triangle? -- 6. Primes of the form 4k+1 -- 7. Gauss sums, Quadratic Reciprocity, and the Jacobi symbol -- Part II Advanced Topics -- 8. Counting Pythagorean triples modulo an integer -- 9. How many lattice points are there on a circle or a sphere? -- 10. What about geometry? -- 11. Another proof of the four squares theorem -- 12. Quadratic forms and sums of squares -- 13. How many Pythagorean triples are there? -- 14. How are rational points distributed, really? -- Part III Appendices -- A. Background -- B. Algebraic integers -- C. SageMath -- References -- Index; Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK)
UR  - https://online.fliphtml5.com/lluzx/dkxj/
ER  -