000			01746nmm a22003137a 4500
003			SPU
005			20210705211524.0
008			200720b2018 sz |||||o|||| 00| 0 eng d
020			_a9783030026042 (E-book)
040			_aSPU _cSPU
050		4	_aQA 241 _bT34P 2018
100			_aTakloo-Bighash, Ramin _9237995
245	1	2	_aA pythagorean introduction to number theory : _bright triangles sums of squares and arithmetic / _cRamin Takloo-Bighash _h[electronic resource]
260			_aCham, Switzerland : _bSpringer, _c2018
300			_a1 online resource (xvii, 286 pages)
449			_a140501
449			_a111101
490	1		_aUndergraduate Texts in Mathematics, _x0172-6056
504			_aIncludes appendix and index
505	0		_aIntroduction -- 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?
650		0	_aPYTHAGOREAN THEOREM _9237954
650	1	0	_aNUMBERS, THEORY _933970
830		0	_aUndergraduate texts in mathematics. _0http://id.loc.gov/authorities/names/n42025566
850			_aSPU
856			_uhttps://drive.google.com/file/d/1z58GXA33amDJkDb5hMqeQ3rtWUIkXrBI/view?usp=sharing _yView Full-text
910			_aLibrary _bSpringer _c200720
942			_2lcc _cEBK
998			_aniparat 0720
999			_c198329