Modern Analytic Mechanics / Edition 1

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This authored textbook is aimed at upper-level students in physics, engineering, and other sciences. Its subject refers to the classical mechanics of today and is essential to the training of physicists as well as being useful in a variety of industrial and commercial applications having to do with the design of moving equipment in the automobile, aerospace, and control devices industry. The authors have important exercises which are to be done using a computer to solve linear and nonlinear problems and to have a graphical representation of results. An extensive Appendix on computer methods from Fortran and Mathcad enhance the appeal of the book to meet current needs.

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Product Details

  • ISBN-13: 9781441933034
  • Publisher: Springer US
  • Publication date: 12/1/2010
  • Edition description: Softcover reprint of hardcover 1st ed. 1999
  • Edition number: 1
  • Pages: 341
  • Product dimensions: 0.74 (w) x 10.00 (h) x 7.00 (d)

Table of Contents

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.

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