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020			_a9783662632079
024	7		_a10.1007/978-3-662-63207-9 _2doi
040			_aES-MaUEC _bspa _cES-MaUEC _dES-MaUEC
050		4	_aQA805 _b2021 EB
100	1		_aMorino, L. _eautor _4 _4http://id.loc.gov/vocabulary/relators/aut _9682889
245	1	0	_aMathematics and Mechanics - The Interplay : _bVolume I: The Basics _cby Luigi Morino
250			_aFirst edition 2021
264		1	_aBerlin, Heidelberg _bSpringer International Publishing _c2021
300			_a1 recurso en línea (XXXVI, 1019 páginas) _b 200 ilustraciones
336			_2rdacontent _aTexto _btxt
337			_2rdamedia _aelectrónico _bc
338			_2rdacarrier _arecurso electrónico _bcr
347			_aarchivo de texto _bPDF
490	0		_aEngineering (SpringerNature-11647)
490	0		_aEngineering (R0) (SpringerNature-43712)
505	0		_aPart I The beginning - Precalculus -- Part II Calculus and dynamics of a particle in one dimension -- Part III Multivariate calculus and mechanics in three dimensions.
520	3		_aMathematics plays an important role in mechanics and other human endeavours. Validating examples in this first volume include, for instance: the connection between the golden ratio (the "divine proportion" used by Phidias and many other artists and enshrined in Leonardo's Vitruvian Man, shown on the front cover), and the Fibonacci spiral (observable in botany, e.g., in the placement of sunflower seeds); is the coast of Tuscany infinitely long?; the equal-time free fall of a feather and a lead ball in a vacuum; a simple diagnostic for changing your car's shocks; the Kepler laws of the planets; the dynamics of the Sun-Earth-Moon system; the tides' mechanism; the laws of friction and a wheel rolling down a partially icy slope; and many more. The style is colloquial. The emphasis is on intuition - lengthy but intuitive proofs are preferred to simple non-intuitive ones. The mathematical/mechanical sophistication gradually increases, making the volume widely accessible. Intuition is not at the expense of rigor. Except for grammar-school material, every statement that is later used is rigorously proven. Guidelines that facilitate the reading of the book are presented. The interplay between mathematics and mechanics is presented within a historical context, to show that often mechanics stimulated mathematical developments - Newton comes to mind. Sometimes mathematics was introduced independently of its mechanics applications, such as the absolute calculus for Einstein's general theory of relativity. Bio-sketches of all the scientists encountered are included and show that many of them dealt with both mathematics and mechanics.
988			_aSpringer_Engineering_2021
650		7	_2embne _9145503 _aMatemáticas aplicadas
776	0	8	_iPrinted edition: _z9783662632055
776	0	8	_iPrinted edition: _z9783662632062
856	4	0	_uhttps://go.openathens.net/redirector/universidadeuropea.es?url=https://doi.org/10.1007/978-3-662-63207-9 _zAcceso a este recurso digital (usuarios Universidad Europea de Madrid)
942			_2lcc _cLE
998			_b03/2022 _dz _eIG _zSI