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024 7 _a10.1007/978-3-030-64061-3
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100 1 _aPolyakhov, Nikolai Nikolaevich.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_942721
245 1 0 _aRational and Applied Mechanics
_h[electronic resource] :
_bVolume 1. Complete General Course for Students of Engineering /
_cby Nikolai Nikolaevich Polyakhov, Mikhail Petrovich Yushkov, Sergey Andreevich Zegzhda ; edited by Petr Evgenievich Tovstik.
250 _a1st ed. 2021.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2021.
300 _aXVIII, 520 p. 112 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
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347 _atext file
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490 1 _aFoundations of Engineering Mechanics,
_x1860-6237
505 0 _aIntroduction -- SECTION I. KINEMATICS -- Point kinematics -- Kinematics of the rigid solid -- Composite motion -- SECTION II. DYNAMICS.GENERAL ASPECTS OF THEORETICAL MECHANICS. FUNDAMENTALS OF ANALYTICAL MECHANICS -- Particle dynamics -- System dynamics -- Constrained motion -- Small oscillations of systems -- Dynamics of the rigid solid -- Variational -- principles in mechanics -- Statics -- Integration of equations in mechanics -- Elements of the special relativity theory.
520 _aAvailable for the first time in English, this two-volume course on theoretical and applied mechanics has been honed over decades by leading scientists and teachers, and is a primary teaching resource for engineering and maths students at St. Petersburg University. The course addresses classical branches of theoretical mechanics (Vol. 1), along with a wide range of advanced topics, special problems and applications (Vol. 2). This first volume of the textbook contains the parts “Kinematics” and “Dynamics”. The part “Kinematics” presents in detail the theory of curvilinear coordinates which is actively used in the part “Dynamics”, in particular, in the theory of constrained motion and variational principles in mechanics. For describing the motion of a system of particles, the notion of a Hertz representative point is used, and the notion of a tangent space is applied to investigate the motion of arbitrary mechanical systems. In the final chapters Hamilton-Jacobi theory is applied for the integration of equations of motion, and the elements of special relativity theory are presented. This textbook is aimed at students in mathematics and mechanics and at post-graduates and researchers in analytical mechanics.
650 0 _aCivil engineering.
_910082
650 0 _aMechanics.
_98758
650 0 _aSystem theory.
_93409
650 0 _aControl theory.
_93950
650 0 _aControl engineering.
_931970
650 0 _aNonlinear Optics.
_911414
650 1 4 _aCivil Engineering.
_910082
650 2 4 _aClassical Mechanics.
_931661
650 2 4 _aSystems Theory, Control .
_931597
650 2 4 _aControl and Systems Theory.
_931972
650 2 4 _aNonlinear Optics.
_911414
700 1 _aYushkov, Mikhail Petrovich.
_eauthor.
_0(orcid)0000-0002-3431-2905
_1https://orcid.org/0000-0002-3431-2905
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_942722
700 1 _aZegzhda, Sergey Andreevich.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_942723
700 1 _aTovstik, Petr Evgenievich.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
_942724
710 2 _aSpringerLink (Online service)
_942725
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783030640606
776 0 8 _iPrinted edition:
_z9783030640620
776 0 8 _iPrinted edition:
_z9783030640637
830 0 _aFoundations of Engineering Mechanics,
_x1860-6237
_942726
856 4 0 _uhttps://doi.org/10.1007/978-3-030-64061-3
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