Trends and Perspectives in Applied Mathematics
This marks the 100th volume to appear in the Applied Mathematical Sci ences series. Partial Differential Equations, by Fritz John, the first volume of the series, appeared in 1971. One year prior to its appearance, the then mathematics editor of Springer
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Editors F. John J.E. Marsden L. Sirovich Advisors M. Ghil J .K. Hale J. Keller K. Kirchgassner B.J. Matkowsky J .T. Stuart A. Weinstein
Applied Mathematical Sciences
1. 2. 3. 4. 5. 6. 7. 8. 9. 10. II. 12. 13. 14. 15. 16. 17. 18. 19. 20. 21. 22. 23. 24. 25. 26. 27. 28. 29. 30. 31. 32. 33. 34. 35. 36. 37. 38. 39. 40. 41. 42. 43. 44. 45. 46. 47. 48. 49. 50. 51.
John: Partial Differential Equations. 4th ed. Sirovich: Techniques of Asymptotic Analysis. Hale: Theory of Functional Differential Equations. 2nd ed. Percus: Combinatorial Methods. von Mises/Friedrichs: Auid Dynamics. Freiberger/Grenander: A Short Course in Computational Probability and Statistics. Pipkin: Lectures on Viscoelasticity Theory. Giacoglia: Perturbation Methods in Non-linear Systems. Friedrichs: Spectral Theory of Operators in Hilbert Space. Stroud: Numerical Quadrature and Solution of Ordinary Differential Equations. Wolovich: linear Multivariable System~. Berkovitz: Optimal Control Theory. Bluman/Cole: Similarity Methods for Differential Equations. Yoshizawa: Stability Theory and the Existence of Periodic Solution and Almost Periodic Solutions. Braun: Differential Equations and Their Applications. 3rd ed. Lefschetz: Applications of Algebraic Topology. CollatzIWetterling: Optimization Problems. Grenander: Pattern Synthesis: Lectures in Pattern Theory. Vol. I. Marsden/McCracken: Hopf Bifurcation and Its Applications. Driver: Ordinary and Delay Differential Equations. Courant/Friedrichs: Supersonic Rowand Shock Waves. Rouche/Habets/Laloy: Stability Theory by Iiapunov's Direct Method. Lamperti: Stochastic Processes: A Survey of the Mathematical Theory. Grenander: Pattern Analysis: Lectures in Pattern Theory. Vol. II. Davies: Integral Transforms and Their Applications. 2nd ed. Ku.,hner/Clark: Stocha~tic Approximation Method~ for Constrained and Unconstrained Systems. de Boor: A Practical Guide to Splines. Keilson: Markov Chain Models-Rarity and Exponentiality. de Veubeke: A Course in Elasticity. Shiarycki: Geometric Quantization and Quantum Mechanics. Reid: Sturmian Theory for Ordinary Differential Equations. MeislMarkowitz: Numerical Solution of Partial Differential Equations. Grenander: Regular Structures: Lectures in Pattern Theory. Vol. Ill. Kevorkian/Cole: Perturbation Methods in Applied Mathematics. Carr: Applications of Centre Manifold Theory. Bengtsson/GhiVKlillen: Dynamic Meteorology: Data Assimilation Methods. Saperstone: Semidynamical Systems in Infinite Dimensional Spaces. Lichtenberg/Lieberman: Regular and Chaotic Dynamics, 2nd ed. PicciniiStampacchialVidos.,ich: Ordinary Differential Equations in RO. Naylor/Sell: Linear Operator Theory in Engineering and Science. Sparrow: The Lorenz Equations: Bifurcations. Chaos. and Strange Attractors. Guckenheimer/Holmes: Nonlinear Oscillations, Dynamical System~ and Bifurcations of Vector Field~. Ockendon/Taylor: Inviscid Auid Aows. Pazy: Semigroups of Linear Operators and Applications to Partial Differential Equations. Glashojf/Gustafson: Linear Operations and Approximation: An Introduction to th
