Mathematical Concepts and Methods in Science and Engineering

Principles of Engineering Mechanics

Volume 2 Dynamics -- The Analysis of Motion

Authors: Beatty, Millard F.

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About this Textbook

Separation of the elements of classical mechanics into kinematics and dynamics is an uncommon tutorial approach, but the author uses it to advantage in this two-volume set. Students gain a mastery of kinematics first – a solid foundation for the later study of the free-body formulation of the dynamics problem.

A key objective of these volumes, which present a vector treatment of the principles of mechanics, is to help the student gain confidence in transforming problems into appropriate mathematical language that may be manipulated to give useful physical conclusions or specific numerical results. In the first volume, the elements of vector calculus and the matrix algebra are reviewed in appendices. Unusual mathematical topics, such as singularity functions and some elements of tensor analysis, are introduced within the text. A logical and systematic building of well-known kinematic concepts, theorems, and formulas, illustrated by examples and problems, is presented offering insights into both fundamentals and applications. Problems amplify the material and pave the way for advanced study of topics in mechanical design analysis, advanced kinematics of mechanisms and analytical dynamics, mechanical vibrations and controls, and continuum mechanics of solids and fluids.

Volume I of Principles of Engineering Mechanics provides the basis for a stimulating and rewarding one-term course for advanced undergraduate and first-year graduate students specializing in mechanics, engineering science, engineering physics, applied mathematics, materials science, and mechanical, aerospace, and civil engineering. Professionals working in related fields of applied mathematics will find it a practical review and a quick reference for questions involving basic kinematics.

Reviews

From the reviews:

"The book is the second of two volumes on principles of engineering mechanics. … The book can serve as a basis for a course and a self-study for advanced undergraduate or first-year graduate students, specializing in mechanics, engineering science, engineering physics, applied mathematics, material science, mechanical, aerospace and civil engineering. … Interesting historical remarks are scattered throughout the text, and extensive lists of references with short annotations follow each chapter." (Boris Ivanovich Konosevich, Zentralblatt MATH, Vol. 1113 (15), 2007)


Table of contents (7 chapters)

  • The Foundation Principles of Classical Mechanics

    Beatty, Millard F.

    Pages 3-94

  • Dynamics of a Particle

    Beatty, Millard F.

    Pages 95-220

  • Momentum, Work, and Energy

    Beatty, Millard F.

    Pages 221-299

  • Dynamics of a System of Particles

    Beatty, Millard F.

    Pages 301-353

  • The Moment of Inertia Tensor

    Beatty, Millard F.

    Pages 355-404

Buy this book

eBook $54.99
price for USA (gross)
  • ISBN 978-0-387-31255-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $74.95
price for USA
  • ISBN 978-0-387-23704-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $74.95
price for USA
  • ISBN 978-1-4419-3656-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Principles of Engineering Mechanics
Book Subtitle
Volume 2 Dynamics -- The Analysis of Motion
Authors
Series Title
Mathematical Concepts and Methods in Science and Engineering
Series Volume
33
Copyright
2006
Publisher
Springer US
Copyright Holder
Springer-Verlag US
eBook ISBN
978-0-387-31255-2
DOI
10.1007/978-0-387-31255-2
Hardcover ISBN
978-0-387-23704-6
Softcover ISBN
978-1-4419-3656-1
Edition Number
1
Number of Pages
XXII, 595
Number of Illustrations and Tables
244 b/w illustrations
Topics