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Full Description
Engineering Analysis in Applied Mechanics is composed of two basic parts: the mathematical foundations in Chapters 1 through 3 and the final three chapters on specialized topics in engineering physics. Chapters 5 and 6 are devoted to solid mechanics and dynamics. The text surveys the mathematical foundations of applied mechanics. The sections on engineering mathematics includes treatments of simultaneous algebraic and differential equations, matrix algebra, the theory of optimization and the calculus of variations. The author pays considerable attention to engineering applications in theoretical thermodynamics, strength of materials and Langranian-Hamiltonian dynamics. This text is recommended for advanced undergraduate and graduate students and a familiarity with Matlab or Mathcad is suggested.
Contents
1.Theory of Equations 2.Theory of Extreme Values of Functions 3.The Calculus of Variations 4. The Extremum Principles of Thermodynamics 5.The Stationarity and Extremum Principles of Solid Mechanics 6. Equations of Motion and the Stationarity Principles of Lagrange and Hamilton Appendix A. Matrix Algebra and the Linear Independence of Vectors