This text is aimed at upper-level students in physics, engineering and other sciences. Its subject, modern classical mechanics, is useful for courses in physics, as well as a variety of industrial and commercial applications involving the design of moving equipment in the automobile, aerospace, and control device industries. The author has included useful computer exercises in which readers must find graphically represented results to linear and non-linear problems. An extensive appendix on computer methods using Fortran and Mathcad makes this work particularly suitable.
1 Newtonian Mechanics.- 2 Hamilton’s Principle.- 3 Gravitational Law and Planetary Motion.- 4 Hamiltonian Description.- 5 Oscillations I.- 6 Oscillations II.- 7 Rigid Bodies.- 8 Waves in Mechanical Systems.- 9 Special Relativity.- 10 Problems.- Appendix A Linear Algebra.- A.1. Properties of Determinants.- A.2. Matrix Notation.- A.3. Matrix Operations.- A.4. Types of Matrices.- A.5. Eigenvalue Analysis.- Appendix B Linear Differential Equations.- Appendix C Numerical Methods.- C.1. Numerical Evaluation of Integrals.- C.2. Numerical Integration of Ordinary Differential Equations.- Appendix D Fourier Series.- D.1. Series Representation of Periodic Functions.- D.2. Evaluation of Series.- D.3. Numerical Evaluation of Series Coefficients.- D.4. Complex Series.- Appendix E Computer Exercises in Classical Mechanics.- E.1. Using the Computer.- E.2. Starting Out.- Appendix F FORTRAN.- F.1. Basic Elements of a FORTRAN Program.- F.2. Other Data Types.- F.3. FORTRAN Functions.- F.4. Looping.- F.5. Variables with Many Values.- F.6. Subroutines.- Appendix G Mathcad.