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Rational and applied mechanics.. Vol...

Polyakhov, Nikolai Nikolaevich.

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Rational and applied mechanics.. Volume 1,. Complete general course for students of engineering

Record Type:	Electronic resources : Monograph/item
Title/Author:	Rational and applied mechanics./ by Nikolai Nikolaevich Polyakhov ... [et al.].
remainder title:	Complete general course for students of engineering
other author:	Polyakhov, Nikolai Nikolaevich.
Published:	Cham :Springer International Publishing : : 2021.,
Description:	xviii, 520 p. :ill., digital ;24 cm.
[NT 15003449]:	Introduction -- 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.
Contained By:	Springer Nature eBook
Subject:	Mechanics. -
Online resource:	https://doi.org/10.1007/978-3-030-64061-3
ISBN:	9783030640613

Rational and applied mechanics.. Volume 1,. Complete general course for students of engineering
Teoreticheskaya i prikladnaya mekhanika.EnglishTom 1.

Rational and applied mechanics.Volume 1,Complete general course for students of engineering[electronic resource] /Complete general course for students of engineeringby Nikolai Nikolaevich Polyakhov ... [et al.]. - Cham :Springer International Publishing :2021. - xviii, 520 p. :ill., digital ;24 cm. - Foundations of engineering mechanics,1860-6237. - Foundations of engineering mechanics..

Introduction -- 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.

Available 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.

ISBN: 9783030640613

Standard No.: 10.1007/978-3-030-64061-3doiSubjects--Topical Terms:

525881
Mechanics.

LC Class. No.: TA350

Dewey Class. No.: 620.1

Rational and applied mechanics.. Volume 1,. Complete general course for students of engineering
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520 $a Available 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.
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