000 01910 a2200217 4500
003 OSt
020 _a9783030385842
040 _cIIT Kanpur
041 _aeng
082 _a531
_bIl5l
100 _aIlisie, Victor
245 _aLectures in classical mechanics
_bwith solved problems and exercises
_cVictor Ilisie
260 _bSpringer
_c2020
_aSwitzerland
300 _axiv, 359p
440 _aUndergraduate lecture notes in physics
490 _a/ edited by Neil Ashby ...[et al.]
520 _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.
650 _aMechanics
650 _aApplied mechanics
942 _cBK
999 _c564848
_d564848