000			03537nam a22004455i 4500
999			_c97877 _d97877
001			978-3-319-91355-1
003			DE-He213
005			20191024171057.0
007			cr nn 008mamaa
008			180723s2018 gw | s |||| 0|eng d
020			_a9783319913551
024	7		_a10.1007/978-3-319-91355-1 _2doi
040			_cМУБИС
050		4	_aLC8-6691
072		7	_aJNU _2bicssc
072		7	_aEDU029010 _2bisacsh
072		7	_aJNU _2thema
072		7	_aPB _2thema
082	0	4	_a370 _223
100	1		_aBramanti, Marco. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut
245	1	0	_aStudying Mathematics _h[electronic resource] : _bThe Beauty, the Toil and the Method / _cby Marco Bramanti, Giancarlo Travaglini.
264		1	_aCham : _bSpringer International Publishing : _bImprint: Springer, _c2018.
300			_aXVII, 398 p. 140 illus., 11 illus. in color. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
505	0		_aPart 1. The Language of Mathematics -- A Few Ambiguities of Everyday Language -- To represent by Sets -- Propositions and Properties -- Proofs, Implications and Counterexamples -- Negations and Indirect Proofs -- Formulae and Indices -- Saturation of Indices and Syntactic Consistency of a Formula -- Induction and Natural Numbers -- Part 2. The Study of a Mathematical Book -- To Read a Definition -- To Understand, i.e. to Know How to Reuse -- To Learn How to Correct -- To Sift the Ideas -- To Understand, i.e. to Know How to Explain -- Part 3. Pages and Ideas -- Majorizations -- Uniqueness Proofs (Level B) -- Functions and Set Theoretic Arguments -- Tiles, Polyhedra, Characterizations -- Index. .
520			_aThis book is dedicated to preparing prospective college students for the study of mathematics. It can be used at the end of high school or during the first year of college, for personal study or for introductory courses. It aims to set a meeting between two relatives who rarely speak to each other: the Mathematics of Beauty, which shows up in some popular books and films, and the Mathematics of Toil, which is widely known. Toil can be overcome through an appropriate method of work. Beauty will be found in the achievement of a way of thinking. The first part concerns the mathematical language: the expressions “for all”, “there exists”, “implies”, “is false”, ...; what is a proof by contradiction; how to use indices, sums, induction. The second part tackles specific difficulties: to study a definition, to understand an idea and apply it, to fix a slightly wrong argument, to discuss suggestions, to explain a proof. The third part presents customary techniques and points of view in college mathematics. The reader can choose one of three difficulty levels (A, B, C).
650		0	_aMathematics.
650	1	4	_aMathematics Education. _0http://scigraph.springernature.com/things/product-market-codes/O25000
650	2	4	_aLearning & Instruction. _0http://scigraph.springernature.com/things/product-market-codes/O22000
700	1		_aTravaglini, Giancarlo. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut
710	2		_aSpringerLink (Online service)
776	0	8	_iPrinted edition: _z9783319913544
776	0	8	_iPrinted edition: _z9783319913568
856	4	0	_uhttps://doi.org/10.1007/978-3-319-91355-1 _yElectronic version-Цахим хувилбар
942			_2ddc _cEBOOK