MARC Record from harvard_bibliographic_metadata

LEADER: 03010cam a2200397Ma 4500
001 012648465-1
005 20140910154244.0
008 100506s2011 nyua b 001 0 eng d
020 $a9780817645267
020 $a0817645268
035 0 $aocn643714688
040 $aEUX$cEUX$dCDX$dCFI
050 4 $aQA801$b.D47 2011
050 4 $aQA401$b.D53 2011
050 4 $aQC125.2$b.D53 2011
082 04 $a531$222
100 1 $aDiBenedetto, Emmanuele.
245 10 $aClassical Mechanics :$btheory and mathematical modeling /$cEmmanuele DiBenedetto.
260 $aNew York :$bSpringer,$cc2011.
300 $axx, 351 p. :$bill. ;$c24 cm.
490 1 $aCornerstones
500 $a"Birkhauser" -- t. p.
504 $aIncludes bibliographical references (p. 355-341) and index.
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 $aMechanics.
650 0 $aMechanics$xMathematical models.
650 0 $aDifferentiable dynamical systems.
650 0 $aGeometry.
650 0 $aMathematical physics.
650 0 $aMathematics.
650 0 $aMechanics, applied.
830 0 $aCornerstones.
988 $a20110103
049 $aHLSS
906 $0OCLC