Symmetries and Differential Equations
A major portion of this book discusses work which has appeared since the publication of the book Similarity Methods for Differential Equations, Springer-Verlag, 1974, by the first author and J.D. Cole. The present book also includes a thorough and compreh
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J.E. Marsden
L. Sirovich
Advisors M. Ghil J.K. Hale J. Keller K. Kirchgassner B. Matkowsky J.T. Stuart A. Weinstein
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 Mises/Friedrichs: Fluid Dynamics. 6. Freiberger/Grenander: A Short Course in Computational Probability and Statistics. 7. Pipkin: Lectures on Viscoelasticity Theory. 9. Friedrichs: Spectral Theory of Operators in Hilbert Space. II. Wolovich: Linear Multivariable Systems. 12. Berkovitz: Optimal Control Theory. 13. Bluman/Cole: Similarity Methods for Differential Equations. 14. Ibshizawa: Stability Theory and the Existence of Periodic Solution and Almost Periodic Solutions. 15. Braun: Differential Equations and Their Applications. 3rd ed. 16. LeJschetz: Applications of Algebraic Topology. 17. Collatz/Wetterling: Optimization Problems. IS. Grenander: P\lllernSyntbesis: Lectures in P\lllern Tbeory. Vol I. 20. Driver: Ordinary and Delay Differential Equations. 21. Courant/Friedrichs: Supersonic Flow and Shock Waves. 22. Rouche/Habets/Laloy: Stability Theory by Liapunov's Direct Method. 23. Lamperti: Stochastic Processes: A Survey of the Mathematical Theory. 24. Grenander: P\lllern Analysis: Lectures in P\lllern 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 Cnurse in Elasticity. 30. Sniatycki: Genmetric Quantization and Quantum Mechanics. 31. Reid: Sturmian Theory for Ordinary Differential Equations. 32. Meis/Markowilz: Numerical Solution of Partial Differential Equations. 33. Grenander: Regular Structures: Lectures in P\lllern Theory. Vol. III. 34. Kevorkian/Cole: Perturbation methods in Applied Mathematics. 35 . Carr: Applications of Centre Manifold Theory. 36. Bengtsson/GhillKiillen: Dynamic Meteorology: Data Assimilation Methods. 37. Saperstone: Semidynamical Systems in Infinite Dimensional Spaces. 3S. Lichtenberg/Lieberman: Regular and Stochastic Motion. 39. Piccini/Stampacchia/Vidossich: Ordinary Differential Equations in R". 40. Naylor/Sell: Linear Operator Theory in Engineering and Science. 41. Sparrow: The Lorenz Equations: Bifurcations. Chaos. and Strange Auractors. 42. GuckenheimerlHolmes: Nonlinear Oscillations. Dynamical Systems and Bifurcations of Vector Fields. 43. Ockendon/Tayler: Inviscid Fluid Flows. 44. Pa:,': Semigroups of Linear Operators and Applications to Partial Differential Equations. 45. Glaslw{flGustafson: Linear Optimization and ApproXimation: An Introduction to the Theoretical Analysis and Numerical Treatment of Semi-Infinite Programs. 46. Wilcox: Scallering Theory for Diffraction Gratings. 47. Hale el al.: An Introduction to Infinite Dimensional Dynamical Systems-Geometric Theory. 4S. Mllrray: Asympto
