Multiple Scale and Singular Perturbation Methods
This book is a revised and updated version, including a substantial portion of new material, of our text Perturbation Methods in Applied Mathematics (Springer Verlag, 1981). We present the material at a level that assumes some familiarity with the basics
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Applied Mathematical Sciences I. John: Partial Differential Equations. 4th ed. 2. Sirovich: Techniques of Asymptotic Analysis. 3. Hale: Theory of Functional Differential Equations. 2nd ed. 4. Percus: Combinatorial Methods. 5. von MiseslFriedrichs: Flnid Dynamics. 6. Freiberger/Grenander: A Short Course in Computational Probability and Statistics. 7. Pipkin: Lectures on Viscoelasticity Theory. 8. Giacoglia: Perturbation Methods in Non-linear Systems. 9. Friedrichs: Spectral Theory of Operators in Hilbert Space. 10. Stroud: Numerical Quadrature and Solution of Ordinary Differential Equations. II. Wolovich: Linear Multivariable Systems. 12. Berkovitz: Optimal Control Theory. 13. Bluman/Cole: Similarity Methods for Differential Equations. 14. Yoshizawa: Stability Theory and the Existence of Periodic Solution and Almost Periodic Solutions. 15. Braun: Differential Equations and Their Applications. 3rd ed. 16. Lefschetz: Applications of Algebraic Topology. 17. CollatzIWetterling: Optimization Problems. 18. Grenander: Pattern Synthesis: Lectures in Pattern Theory. Vol. I. 19. Marsden/McCracken: Hopf Bifurcation and Its Applications. 20. Driver: Ordinary and Delay Differential Equations. 21. Courant/Friedrichs: Supersonic Flow and Shock Waves. 22. RouchelHabetslLaloy: Stability Theory by Liapunov' s Direct Method. 23. Lamperti: Stochastic Processes: A Survey of the Mathematical Theory. 24. Grenander: Pattern Analysis: Lectures in Pattern Theory. Vol. II. 25. Davies: Integral Transforms and Their Applications. 2nd ed. 26. Kushner/Clark: Stochastic Approximation Methods for Constrained and Unconstrained Systems. 27. de Boor: A Practical Guide to Splines. 28. Keilson: Markov Chain Models-Rarity and Exponentiality. 29. de Veubeke: A Course in ElastiCity. 30. Shiatycki: Geometric Quantization and Quantum Mechanics. 31. Reid: Sturrnian Theory for Ordinary Differential Equations. 32. Meis/Markowitz: Numerical Solution of Partial Differential Equations. 33. Grenander: Regular Structures: Lectures in Pattern Theory. Vol. III.
34. Kevorkian/Cole: Perturbation Methods in Applied Mathematics. 35. Carr: Applications of Centre Manifold Theory. 36. Bengtsson/GhiVKlillen: Dynamic Meteorology: Data Assimilation Methods. 37. Saperstone: Semidynamical Systems in Infinite Dimensional Spaces. 38. LichtenbergILieberman: Regular and Chaotic Dynamics. 2nd ed. 39. PicciniiStampacchiaIVidossich: Ordinary Differential Equations in R". 40. Naylor/Sell: Linear Operator Theory in Engineering and Science. 41. Sparrow: The Lorenz Equations: Bifurcations. Chaos. and Strange Attractors. 42. Guckenheimer/Holmes: Nonlinear Oscillations. Dynamical Systems and Bifurcations of Vector Fields. 43. OckendonITaylor: Inviscid Fluid Flows. 44. Pazy: Semi groups of Linear Operators and Applications to Partial Differential Equations. 45. Glashoff/Gustafson: Linear Operations and Approximation: An Introduction to the Theoretical Analysis and Numerical Treatm
