This text surveys the mathematical foundations of applied mechanics. The sections on engineering mathematics cover simultaneous algebraic and differential equations, matrix algebra, the theory of optimization and the calculus of variations.
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 of Extremum Principles of Solid Mechanics 6. Equations of Motion and the Stationarity Principles of Language and Hamilton Appendix A: Matrix Algebra and the Linear Inderpendence of Vectors Appendix B: A Review of Elementary Real Analysis
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