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Analytical Dynamics

Theory and Applications

  • Mark D. Ardema

Table of contents

  1. Front Matter
    Pages i-xv
  2. Mark D. Ardema
    Pages 1-45
  3. Mark D. Ardema
    Pages 47-64
  4. Mark D. Ardema
    Pages 65-82
  5. Mark D. Ardema
    Pages 83-99
  6. Mark D. Ardema
    Pages 101-108
  7. Mark D. Ardema
    Pages 109-130
  8. Mark D. Ardema
    Pages 131-148
  9. Mark D. Ardema
    Pages 149-163
  10. Mark D. Ardema
    Pages 165-177
  11. Mark D. Ardema
    Pages 179-188
  12. Mark D. Ardema
    Pages 189-204
  13. Mark D. Ardema
    Pages 205-224
  14. Mark D. Ardema
    Pages 225-243
  15. Mark D. Ardema
    Pages 245-259
  16. Mark D. Ardema
    Pages 261-280
  17. Mark D. Ardema
    Pages 281-295
  18. Mark D. Ardema
    Pages 297-317
  19. Mark D. Ardema
    Pages 319-333
  20. Back Matter
    Pages 335-340

About this book

Introduction

In his great work, Mecanique Analytique (1788)-^Lagrange used the term "analytical" to mean "non-geometrical." Indeed, Lagrange made the following boast: "No diagrams will be found in this work. The methods that I explain in it require neither constructions nor geometrical or mechanical arguments, but only the algebraic operations inherent to a regular and uniform process. Those who love Analysis will, with joy, see mechanics become a new branch of it and will be grateful to me for thus having extended its field." This was in marked contrast to Newton's Philosohiae Naturalis Principia Mathematica (1687) which is full of elaborate geometrical constructions. It has been remarked that the classical Greeks would have understood some of the Principia but none of the Mecanique Analytique. The term analytical dynamics has now come to mean the develop­ ments in dynamics from just after Newton to just before the advent of relativity theory and quantum mechanics, and it is this meaning of the term that is meant here. Frequent use will be made of diagrams to illus­ trate the theory and its applications, although it will be noted that as the book progresses and the material gets "more analytical", the number of figures per chapter tends to decrease, although not monotonically.

Keywords

algebra construction development dynamics material mechanics quantum mechanics stability

Authors and affiliations

  • Mark D. Ardema
    • 1
  1. 1.Santa Clara UniversitySanta ClaraUSA

Bibliographic information

  • DOI https://doi.org/10.1007/b116020
  • Copyright Information Springer-Verlag US 2005
  • Publisher Name Springer, Boston, MA
  • eBook Packages Engineering
  • Print ISBN 978-0-306-48681-4
  • Online ISBN 978-0-306-48682-1
  • Buy this book on publisher's site