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Rational and applied mechanics. Volume 1, Complete general course for students of engineering / Nikolai Nikolaevich Polyakhov, Mikhail Petrovich Yushkov, Sergey Andreevich Zegzhda, authors ; Petr Evgenievich Tovstik, editor.
Poli͡akhov, N. N., author.; I͡Ushkov, M. P. (Mikhail Petrovich), author.; Zegzhda, S. A. (Sergeĭ Andreevich) (Writer on Mechanics), author.; Tovstik, P. E., editor.
2021
TA350 .P6513 2021
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Title
Rational and applied mechanics. Volume 1, Complete general course for students of engineering / Nikolai Nikolaevich Polyakhov, Mikhail Petrovich Yushkov, Sergey Andreevich Zegzhda, authors ; Petr Evgenievich Tovstik, editor.
Author
Poli͡akhov, N. N., author.
Uniform Title
Teoreticheskaya i prikladnaya mekhanika. Tom 1. English
ISBN
9783030640613 (electronic bk.)
3030640612 (electronic bk.)
9783030640606
3030640604
DOI
https://doi.org/10.1007/978-3-030-64061-3
Published
Cham : Springer, [2021]
Copyright
©2021
Language
English
Language Note
Translated from Russian.
Description
1 online resource : illustrations
Item Number
10.1007/978-3-030-64061-3 doi
Call Number
TA350 .P6513 2021
Dewey Decimal Classification
620.1
Summary
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
Bibliography, etc. Note
Includes bibliographical references and index.
Access Note
Access limited to authorized users.
Source of Description
Online resource; title from PDF title page (SpringerLink, viewed September 9, 2021).
Added Author
I͡Ushkov, M. P. (Mikhail Petrovich), author.
Zegzhda, S. A. (Sergeĭ Andreevich) (Writer on Mechanics), author.
Tovstik, P. E., editor.
Series
Foundations of engineering mechanics.
Available in Other Form
Print version: 9783030640606
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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.

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