Advertisement

Modern Analytic Mechanics

  • Richard K. Cooper
  • Claudio Pellegrini

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Richard K. Cooper, Claudio Pellegrini
    Pages 1-32
  3. Richard K. Cooper, Claudio Pellegrini
    Pages 33-47
  4. Richard K. Cooper, Claudio Pellegrini
    Pages 49-71
  5. Richard K. Cooper, Claudio Pellegrini
    Pages 73-94
  6. Richard K. Cooper, Claudio Pellegrini
    Pages 95-119
  7. Richard K. Cooper, Claudio Pellegrini
    Pages 121-146
  8. Richard K. Cooper, Claudio Pellegrini
    Pages 147-173
  9. Richard K. Cooper, Claudio Pellegrini
    Pages 175-208
  10. Richard K. Cooper, Claudio Pellegrini
    Pages 209-242
  11. Richard K. Cooper, Claudio Pellegrini
    Pages 243-268
  12. Back Matter
    Pages 269-341

About this book

Introduction

By modern analytic mechanics we mean the classical mechanics of today, that is, the mechanics that has proven particularly useful in understanding the universe as we experience it from the solar system, to particle accelerators, to rocket motion. The mathematical and numerical techniques that are part of this mechanics that we present are those that we have found to be particularly productive in our work in the subject. The balance of topics in this book is somewhat different from previous texts. We emphasize the use of phase space to describe the dynamics of a system and to have a qualitative understanding of nonlinear systems. We incorporate exercises that are to be done using a computer to solve linear and nonlinear problems and to have a graphical representation of the results. While analytic solutions of physics problems are to be prefer. red, it is not always possible to find them for all problems. When that happens, techniques other than analysis must be brought to bear on the problem. In many cases numerical treatments are useful in generating solutions, and with these solutions often come new insights. These insights can sometimes be used for making further analytic progress, and often the process is iterative. Thus the ability to use a computer to solve problems is one of the tools of the modern physicist. Just as analytic problem-solving enhances the student's understanding of physics, so will using the computer enhance his or her appreciation of the subject.

Keywords

Newtonian mechanics algebra classical mechanics differential equation eigenvalue gravity mechanics numerical method ordinary differential equation oscillation relativity special relativity theory of relativity

Authors and affiliations

  • Richard K. Cooper
    • 1
  • Claudio Pellegrini
    • 2
  1. 1.Formerly of Los Alamos National LaboratoryLos AlamosUSA
  2. 2.University of California at Los AngelesLos AngelesUSA

Bibliographic information

Industry Sectors
Energy, Utilities & Environment
Aerospace
Oil, Gas & Geosciences