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008			181205s2018 sz o 000 0 eng d
015			_aGBB917602 _2bnb
020			_a9783030026042 _q(electronic bk.)
020			_a3030026043 _q(electronic bk.)
020			_z3030026035
020			_z9783030026035
024	7		_a10.1007/978-3-030-02604-2 _2doi
035			_a(Uk)019199798
037			_acom.springer.onix.9783030026042 _bSpringer Nature
040			_aYDX _beng _erda _cYDX _dGW5XE _dFIE _dYDXIT _dUPM _dSTF _dOCLCF _dUk
042			_aukblsr
050		4	_aQA241 _b.T35 2018
072		7	_aPBH _2bicssc
072		7	_aMAT022000 _2bisacsh
072		7	_aPBH _2thema
082	0	4	_a512.7 _223
100	1		_aTakloo-Bighash, Ramin, _eauthor. _939792
245	1	2	_aA Pythagorean introduction to number theory : _bright triangles, sums of squares, and arithmetic / _cRamin Takloo-Bighash.
264		1	_aCham, Switzerland : _bSpringer, _c[2018].
300			_a1 online resource.
336			_atext _2rdacontent
337			_acomputer _2rdamedia
338			_aonline resource _2rdacarrier
490	1		_aUndergraduate Texts in Mathematics, _x0172-6056
500			_aAcademic
505	0		_aPart 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.
506	1		_aLegal Deposit; _cOnly available on premises controlled by the deposit library and to one user at any one time; _eThe Legal Deposit Libraries (Non-Print Works) Regulations (UK). _5UkOxU
540			_aRestricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force. _5UkOxU
546			_aEnglish
588			_aDescription based on online resource; title from digital title page (viewed on December 14, 2018).
650		0	_aNumber theory. _939793
650		0	_aPythagorean theorem. _939794
650	1	4	_aNumber Theory. _0http://scigraph.springernature.com/things/product-market-codes/M25001 _939795
650		7	_aNumber theory. _2fast _0(OCoLC)fst01041214 _939793
650		7	_aPythagorean theorem. _2fast _0(OCoLC)fst01084728 _939794
655		4	_aElectronic books. _939796
830		0	_aUndergraduate texts in mathematics. _937973
856			_uhttps://online.fliphtml5.com/lluzx/dkxj/ _zЦахимаар унших
884			_aLDL ebooks ONIX to marcxml transformation using Record_Load-eBooks_Legal_Deposit_onix2marc_v2-1.xsl _g20190104 _kcom.springer.onix.9783030026042 _qUk
942			_2ddc _cEB
999			_c17759 _d17759