Partial Differential Equations (4th Ed., 4th ed. 1982. Softcover reprint of the original 4th ed. 1982)
Applied Mathematical Sciences Series, Vol. 1

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Language: English

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251 p. · 15.5x23.5 cm · Paperback
From the reviews of the earlier editions:

?An excellent second-reading text.  Should be accessible to any mathematician.  Highly recommended.? ? The Mathematical Gazette

?An excellent text upon which to build and introduction to partial differential equations at the graduate level.  In addition?recommended for the nonspecialist.? ? American Mathematical Monthly

Partial Differential Equations is a very well accepted introduction to the subject.  In it, the author identifies the significant aspects of the theory and explores them with a limited amount of machinery from mathematical analysis.  Now, in this fourth edition, the book has again been updated with an additional chapter on Lewy?s example of a linear equation with solutions.



Chapter 1: Introduction: Differential Equations and Dynamical Systems * Chapter 2: An Introduction to Chaos: Four Examples * Chapter 3: Local Bifurcations * Chapter 4: Averaging and Perturbation from a Geometric Viewpoint * Chapter 5: Hyperbolic Sets, Symbolic Dynamics, and Strange Attractors * Chapter 6: Global Bifurcations * Chapter 7: Local Codimension Two Bifurcations of Flows * Appendix * Suggestions for Further Reading * Postscript Added at Second Printing * Glossary * References * Index