Mathematics Applied to Deterministic Problems in the Natural Sciences

摘要: A. An Overview of the Interaction Mathematics and Natural Science: 1. What is applied mathematics? 2. Deterministic systems ordinary differential equations 3. Random processes ial 4. Superposition, heat flow, Fourier analysis 5. Further developments in B. Some Fundamental Procedures Illustrated on Ordinary Differential Equations: 6. Simplification, dimensional analysis, scaling 7. Regular perturbation theory 8. Illustration techniques a physiological flow problem 9. Introduction to singular 10. Singular biochemical kinetics 11. Three simple pendulum C. Theories Continuous Fields: 12. Longitudinal motion bar 13. The continuous medium 14. Field continuum mechanics 15. Inviscid fluid 16. Potential theory.