Applied Mathematics

DIMENSIONAL ANALYSIS AND SCALING. Dimensional Analysis. The Buckingham Pi Theorem. Scaling. PERTURBATION METHODS. Regular Perturbation. Singular Perturbation. Boundary Layer Analysis. Two Applications. CALCULUS OF VARIATIONS. Variational Problems. Necessary Conditions for Extrema. The Simplest Problem. Generalizations. Hamiltonian Theory. Isoperimetric Problems. EQUATIONS OF APPLIED MATHEMATICS. Partial Differential Equations. The Diffusion Equation. Classical Techniques. Integral Equations. WAVE PHENOMENA IN CONTINUOUS SYSTEMS. Wave Propagation. Mathematical Models of Continua. The Wave Equation. Gasdynamics. Fluid Motions in R3. STABILITY AND BIFURCATION. Intuitive Ideas. One Dimensional Problems. Two Dimensional Problems. Hydrodynamic Stability. SIMILARITY METHODS. Invariant Variational Problems. Invariant Partial Differential Equations. The General Similarity Method. DIFFERENCE METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS. Finite Difference Methods. The Diffusion Equation. The Laplace Equation. Hyperbolic Equations. Index.Logan, J. David is the author of 'Applied Mathematics' with ISBN 9780471850830 and ISBN 0471850837.