000 03612nam a22005295i 4500
001 978-0-8176-4648-6
003 DE-He213
005 20251006084437.0
007 cr nn 008mamaa
008 101029s2011 xxu| s |||| 0|eng d
020 _a9780817646486
020 _a99780817646486
024 7 _a10.1007/978-0-8176-4648-6
_2doi
082 0 4 _a519
_223
100 1 _aDiBenedetto, Emmanuele.
_eauthor.
245 1 0 _aClassical Mechanics
_h[electronic resource] :
_bTheory and Mathematical Modeling /
_cby Emmanuele DiBenedetto.
264 1 _aBoston, MA :
_bBirkhäuser Boston :
_bImprint: Birkhäuser,
_c2011.
300 _aXX, 351p. 63 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aCornerstones
505 0 _aPreface -- Geometry of Motion -- Constraints and Lagrangian Coordinates -- Dynamics of a Point Mass -- Geometry of Masses -- Systems Dynamics -- The Lagrange Equations -- Precessions -- Variational Principles -- Bibliography -- Index.
520 _aClassical mechanics is a chief example of the scientific method organizing a "complex" collection of information into theoretically rigorous, unifying principles; in this sense, mechanics represents one of the highest forms of mathematical modeling. This textbook covers standard topics of a mechanics course, namely, the mechanics of rigid bodies, Lagrangian and Hamiltonian formalism, stability and small oscillations, an introduction to celestial mechanics, and Hamilton-Jacobi theory, but at the same time features unique examples-such as the spinning top including friction and gyroscopic compass-seldom appearing in this context. In addition, variational principles like Lagrangian and Hamiltonian dynamics are treated in great detail. Using a pedagogical approach, the author covers many topics that are gradually developed and motivated by classical examples. Through `Problems and Complements' sections at the end of each chapter, the work presents various questions in an extended presentation that is extremely useful for an interdisciplinary audience trying to master the subject. Beautiful illustrations, unique examples, and useful remarks are key features throughout the text. Classical Mechanics: Theory and Mathematical Modeling may serve as a textbook for advanced graduate students in mathematics, physics, engineering, and the natural sciences, as well as an excellent reference or self-study guide for applied mathematicians and mathematical physicists. Prerequisites include a working knowledge of linear algebra, multivariate calculus, the basic theory of ordinary differential equations, and elementary physics.
650 0 _aMATHEMATICS.
650 0 _aDIFFERENTIABLE DYNAMICAL SYSTEMS.
650 0 _aGEOMETRY.
650 0 _aMATHEMATICAL PHYSICS.
650 0 _aMECHANICS.
650 0 _aMECHANICS, APPLIED.
650 1 4 _aMATHEMATICS.
650 2 4 _aAPPLICATIONS OF MATHEMATICS.
650 2 4 _aMECHANICS.
650 2 4 _aMATHEMATICAL METHODS IN PHYSICS.
650 2 4 _aGEOMETRY.
650 2 4 _aDYNAMICAL SYSTEMS AND ERGODIC THEORY.
650 2 4 _aTHEORETICAL AND APPLIED MECHANICS.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9780817645267
830 0 _aCornerstones
856 4 0 _uhttp://dx.doi.org/10.1007/978-0-8176-4648-6
_zVer el texto completo en las instalaciones del CICY
912 _aZDB-2-SMA
942 _2ddc
_cER
999 _c59741
_d59741