A Pythagorean introduction to number theory : right triangles, sums of squares, and arithmetic /: right triangles, sums of squares, and arithmetic. ([2018])

• Record Type: Book
• Further Information: Note: Ramin Takloo-Bighash.
• Authors: Takloo-Bighash, Ramin
• Contents: 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.
• Publisher Details: Cham, Switzerland : Springer
• Publication Date: 2018
• Extent: 1 online resource
• Subjects: 512.7; Number theory; Pythagorean theorem; Number Theory; Number theory; Pythagorean theorem; Electronic books
• Languages: English
• ISBNs: 9783030026042; 3030026043
• Related ISBNs: 3030026035; 9783030026035
• Notes: Note: Description based on online resource; title from digital title page (viewed on December 14, 2018).
• Access Rights: 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).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.