001433717 000__ 03574cam\a2200577\i\4500 001433717 001__ 1433717 001433717 003__ OCoLC 001433717 005__ 20230309003650.0 001433717 006__ m\\\\\o\\d\\\\\\\\ 001433717 007__ cr\cn\nnnunnun 001433717 008__ 210206s2021\\\\sz\a\\\\ob\\\\000\0\eng\d 001433717 019__ $$a1235870448$$a1241066432 001433717 020__ $$a3030675173$$q(electronic book) 001433717 020__ $$a9783030675172$$q(electronic bk.) 001433717 020__ $$z3030675165 001433717 020__ $$z9783030675165 001433717 0247_ $$a10.1007/978-3-030-67517-2$$2doi 001433717 035__ $$aSP(OCoLC)1236264154 001433717 040__ $$aEBLCP$$beng$$erda$$epn$$cEBLCP$$dGW5XE$$dDKU$$dYDX$$dOCLCF$$dOCLCO$$dOCLCQ$$dOCLCO$$dCOM$$dN$T$$dOCLCQ 001433717 043__ $$ax------ 001433717 049__ $$aISEA 001433717 050_4 $$aQE539 001433717 08204 $$a531/.32$$223 001433717 08204 $$a551.22$$223 001433717 1001_ $$aPetrov, Oleg V.,$$eauthor. 001433717 24514 $$aThe Earth's free oscillations :$$bformulation and solution of the fundamental wave equation of nature /$$cOleg V. Petrov. 001433717 264_1 $$aCham, Switzerland :$$bSpringer,$$c[2021] 001433717 300__ $$a1 online resource (xi, 106 pages) :$$billustrations (some color) 001433717 336__ $$atext$$btxt$$2rdacontent 001433717 337__ $$acomputer$$bc$$2rdamedia 001433717 338__ $$aonline resource$$bcr$$2rdacarrier 001433717 347__ $$atext file 001433717 347__ $$bPDF 001433717 504__ $$aIncludes bibliographical references. 001433717 5050_ $$aFormulation and solution of the wave equation for free oscillations of a string -- Formulation and solution of the wave equation for free oscillations of the Earth -- Formulations and solutions of the fundamental wave equation of nature. 001433717 506__ $$aAccess limited to authorized users. 001433717 520__ $$aThis book presents the formulations and solutions of the wave equation for the Earths free oscillations concerning the particular nodal, bifurcation, perspectival, and projective reference points within the framework of the three "great geometries" of Euclid, Lobachevsky, and Riemann. When studying the relationship between the propagation velocity of various types of bulk and surface seismic waves with radial, spheroidal, and torsional eigen oscillations of the Earth having corresponding periods, we are struck by the fundamental problem of obtaining reference points that allow physical meaning to be attributed to all these discrete oscillatory and continuous wave phenomena that occur in nature. Several unsuccessful attempts tried to unify the relationship of discrete oscillations and the velocity of waves and light occurring in seismology and other phenomena associated with gravity and matter, using a three-dimensional visual space-time model continuous Euclidean space. Using simple and illustrative examples for describing the free oscillations of the Earth and taking into account new visible event horizons related to the velocity of waves and light propagation, the author formulated and solved the fundamental wave equation of nature in the form of the three "great theorems" Galilean, Lorentz, and Poincare spatiotemporal transformations 001433717 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed March 17, 2021). 001433717 650_0 $$aFree earth oscillations. 001433717 650_0 $$aWave equation. 001433717 650_6 $$aOscillations libres de la terre. 001433717 650_6 $$aƉquations d'onde. 001433717 651_0 $$aEarth (Planet)$$xMathematical models. 001433717 655_0 $$aElectronic books. 001433717 77608 $$iPrint version:$$z9783030675165 001433717 852__ $$bebk 001433717 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-030-67517-2$$zOnline Access$$91397441.1 001433717 909CO $$ooai:library.usi.edu:1433717$$pGLOBAL_SET 001433717 980__ $$aBIB 001433717 980__ $$aEBOOK 001433717 982__ $$aEbook 001433717 983__ $$aOnline 001433717 994__ $$a92$$bISE