A Pythagorean introduction to number theory : right triangles, sums of squares, and arithmetic / Ramin Takloo-Bighash.
Material type:
TextSeries: Undergraduate texts in mathematicsPublisher: Cham, Switzerland : Springer, [2018]Description: 1 online resourceContent type: - text
- computer
- online resource
- 9783030026042
- 3030026043
- 512.7 23
- QA241 .T35 2018
| Item type | Current library | Call number | Status | |
|---|---|---|---|---|
Цахим ном
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Эрдэм шинжилгээний номын сан | 512.7 | Available |
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.
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English
Description based on online resource; title from digital title page (viewed on December 14, 2018).