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Principles of Engineering Mechanics

Kinematics — The Geometry of Motion

  • Millard F. BeattyJr.

Part of the Mathematical Concepts and Methods in Science and Engineering book series (MCSENG, volume 32)

Table of contents

  1. Front Matter
    Pages i-xvii
  2. Kinematics

    1. Front Matter
      Pages 1-1
    2. Millard F. Beatty Jr.
      Pages 3-84
    3. Millard F. Beatty Jr.
      Pages 85-149
    4. Millard F. Beatty Jr.
      Pages 151-227
  3. Erratum

    1. Millard F. Beatty Jr.
      Pages 397-397
    2. Millard F. Beatty Jr.
      Pages 397-398
    3. Millard F. Beatty Jr.
      Pages 398-399
    4. Millard F. Beatty Jr.
      Pages 401-401
  4. Back Matter
    Pages 353-401

About this book

Introduction

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.

Keywords

applied mathematics civil engineering classical mechanics continuum mechanics design dynamics engineering mechanics fluid geometry kinematics material materials Mathematica mechanics vibration

Authors and affiliations

  • Millard F. BeattyJr.
    • 1
  1. 1.University of KentuckyLexingtonUSA

Bibliographic information

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