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001437562 001__ 1437562
001437562 003__ OCoLC
001437562 005__ 20230309004155.0
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001437562 020__ $$a9783662632079$$q(electronic bk.)
001437562 020__ $$a3662632071$$q(electronic bk.)
001437562 020__ $$z3662632055
001437562 020__ $$z9783662632055
001437562 0247_ $$a10.1007/978-3-662-63207-9$$2doi
001437562 035__ $$aSP(OCoLC)1257549310
001437562 040__ $$aYDX$$beng$$epn$$cYDX$$dGW5XE$$dOCLCO$$dOCLCF$$dEBLCP$$dN$T$$dUKAHL$$dOCLCQ$$dOCLCO$$dOCLCQ
001437562 049__ $$aISEA
001437562 050_4 $$aQA805
001437562 08204 $$a515/.39$$223
001437562 1001_ $$aMorino, L.
001437562 24510 $$aMathematics and mechanics -- The Interplay.$$nVolume I,$$pThe basics /$$cLuigi Morino.
001437562 24630 $$aBasics
001437562 260__ $$aBerlin, Germany :$$bSpringer,$$c2021.
001437562 300__ $$a1 online resource
001437562 336__ $$atext$$btxt$$2rdacontent
001437562 337__ $$acomputer$$bc$$2rdamedia
001437562 338__ $$aonline resource$$bcr$$2rdacarrier
001437562 504__ $$aIncludes bibliographical references and index.
001437562 5050_ $$aPart I The beginning -- Precalculus -- Part II Calculus and dynamics of a particle in one dimension -- Part III Multivariate calculus and mechanics in three dimensions.
001437562 506__ $$aAccess limited to authorized users.
001437562 520__ $$aMathematics plays an important role in mechanics and other human endeavours. Validating examples in this first volume include, for instance: the connection between the golden ratio (the divine proportion" used by Phidias and many other artists and enshrined in Leonardo's Vitruvian Man, shown on the front cover), and the Fibonacci spiral (observable in botany, e.g., in the placement of sunflower seeds); is the coast of Tuscany infinitely long?; the equal-time free fall of a feather and a lead ball in a vacuum; a simple diagnostic for changing your car's shocks; the Kepler laws of the planets; the dynamics of the Sun-Earth-Moon system; the tides' mechanism; the laws of friction and a wheel rolling down a partially icy slope; and many more. The style is colloquial. The emphasis is on intuition - lengthy but intuitive proofs are preferred to simple non-intuitive ones. The mathematical/mechanical sophistication gradually increases, making the volume widely accessible. Intuition is not at the expense of rigor. Except for grammar-school material, every statement that is later used is rigorously proven. Guidelines that facilitate the reading of the book are presented. The interplay between mathematics and mechanics is presented within a historical context, to show that often mechanics stimulated mathematical developments - Newton comes to mind. Sometimes mathematics was introduced independently of its mechanics applications, such as the absolute calculus for Einstein's general theory of relativity. Bio-sketches of all the scientists encountered are included and show that many of them dealt with both mathematics and mechanics
001437562 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed July 1, 2021).
001437562 650_0 $$aMathematics.
001437562 650_0 $$aMechanics.
001437562 650_6 $$aMathématiques.
001437562 650_6 $$aMécanique.
001437562 655_0 $$aElectronic books.
001437562 77608 $$iPrint version:$$z3662632055$$z9783662632055$$w(OCoLC)1240773987
001437562 852__ $$bebk
001437562 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-662-63207-9$$zOnline Access$$91397441.1
001437562 909CO $$ooai:library.usi.edu:1437562$$pGLOBAL_SET
001437562 980__ $$aBIB
001437562 980__ $$aEBOOK
001437562 982__ $$aEbook
001437562 983__ $$aOnline
001437562 994__ $$a92$$bISE