LEADER 03740nam 22005295 450 001 9910380736903321 005 20200702134159.0 010 $a3-030-38585-X 024 7 $a10.1007/978-3-030-38585-9 035 $a(CKB)4100000010480334 035 $a(DE-He213)978-3-030-38585-9 035 $a(MiAaPQ)EBC6111357 035 $a(PPN)24297998X 035 $a(EXLCZ)994100000010480334 100 $a20200205d2020 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aLectures in Classical Mechanics$b[electronic resource] $eWith Solved Problems and Exercises /$fby Victor Ilisie 205 $a1st ed. 2020. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2020. 215 $a1 online resource (XIV, 359 p. 109 illus.) 225 1 $aUndergraduate Lecture Notes in Physics,$x2192-4791 311 $a3-030-38584-1 320 $aIncludes bibliographical references and index. 327 $aVector Analysis in Cartesian Coordinates -- Vector Analysis in Curvilinear Coordinates -- Kinematics -- Newton's Laws, Dynamics and Galilean Relativity -- Systems of Particles and Variable Mass -- One-Dimensional Potentials and Two-Dimensional Central Potentials -- Non Relativistic Collisions -- Continuous Mass Distributions. Gravitational Potential and Field -- Non-Inertial Reference Systems -- Rigid Body Dynamics -- Special Theory of Relativity -- Relativistic Collisions and Decays -- Non-Relativistic Lagrangian and Hamiltonian Mechanics. 330 $aThis exceptionally well-organized book uses solved problems and exercises to help readers understand the underlying concepts of classical mechanics; accordingly, many of the exercises included are of a conceptual rather than practical nature. A minimum of necessary background theory is presented, before readers are asked to solve the theoretical exercises. In this way, readers are effectively invited to discover concepts on their own. While more practical exercises are also included, they are always designed to introduce readers to something conceptually new. Special emphasis is placed on important but often-neglected concepts such as symmetries and invariance, especially when introducing vector analysis in Cartesian and curvilinear coordinates. More difficult concepts, including non-inertial reference frames, rigid body motion, variable mass systems, basic tensorial algebra, and calculus, are covered in detail. The equations of motion in non-inertial reference systems are derived in two independent ways, and alternative deductions of the equations of motion for variable mass problems are presented. Lagrangian and Hamiltonian formulations of mechanics are studied for non-relativistic cases, and further concepts such as inertial reference frames and the equivalence principle are introduced and elaborated on. 410 0$aUndergraduate Lecture Notes in Physics,$x2192-4791 606 $aMechanics 606 $aMechanics, Applied 606 $aClassical Mechanics$3https://scigraph.springernature.com/ontologies/product-market-codes/P21018 606 $aTheoretical and Applied Mechanics$3https://scigraph.springernature.com/ontologies/product-market-codes/T15001 615 0$aMechanics. 615 0$aMechanics, Applied. 615 14$aClassical Mechanics. 615 24$aTheoretical and Applied Mechanics. 676 $a531 700 $aIlisie$b Victor$4aut$4http://id.loc.gov/vocabulary/relators/aut$0803789 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910380736903321 996 $aLectures in Classical Mechanics$91917825 997 $aUNINA