TENSOR CALCULUS AND ANALYTICAL DYNAMICS

TENSOR CALCULUS AND ANALYTICAL DYNAMICS - John-G Papastavridis | Showmesound.org PDF, TXT, FB2. ePUB. MOBI. Le livre a été écrit en 2021. Cherchez un livre sur showmesound.org.

INFORMATION

AUTEUR
John-G Papastavridis
DIMENSION
3,96 MB
NOM DE FICHIER
TENSOR CALCULUS AND ANALYTICAL DYNAMICS.pdf
ISBN
7112884595788

DESCRIPTION

Tensor Calculus and Analytical Dynamics provides a concise, yet comprehensive, and readable introduction to classical tensor calculus-in both holonomic and nonholonomic coordinates-and its principal applications to the Lagrangean analytical dynamics, i.e. the energetic mechanics of constrained systems with a finite number of degrees of freedom. Tensor Calculus and Analytical Dynamics, the only work of its kind in English, in or out of print, and among a handful in any language, contains accessible treatments of such intricate topics as : • Tensor calculus in nonholonomic variables, Pfaffian (possibly nonholonomic) constraints, and the integrability theorem of Frobenius • Most general principles and equations of motion of Lagrangean dynamics, from a simple unified viewpoint. Written for the theoretically-minded engineer, physicist, mathematician- in the best classical tradition of applied mathematics (e.g., Appell, Levi-Civita, Schouten, Veblen, Vranceanu), mechanics (e.g., Hamel, Synge, Lure), and physics, (e.g., Brillouin, Einstein, Eddington, Weyl)-the book enables its readers to move quickly and confidently into any particular geometry-based area of classical or modern theoretical dynamics. FEATURES • Avoids all unnecessary mathematical formalisms ("epsilonics "), thus making the work accessible to as many readers as possible • Employs indicial notation-which, unlike direct/matrix notations, combines both coordinate generality and coordinate specificity • Focuses on the basic geometrical/physical ideas and formal structure of the advanced dynamics of mechanical systems under general positional and/or velocity (Pfaffian) constraints, via the kinetic principle of virtual work • Contains many nontrivial, completely solved examples, as well as problems with answers and hints.

[J G Papastavridis] -- Of Conventions, Notations, and Basic Formulae -- Ch. 1.

PAPASTAVRIDIS, PH.D CRC Press Boca Raton London New York Washington, D.C. Table of Contents Preface ix Acknowledgments xiii Summary of ... Achetez et téléchargez ebook Tensor Calculus and Analytical Dynamics (Engineering Mathematics Book 4) (English Edition): Boutique Kindle - Vector Analysis : Amazon.fr Other common applications include analytical dynamics, continuum mechanics, and relativity theory.

LIVRES CONNEXES