Geometric Methods and Applications For Computer Science and Engineer
As an introduction to fundamental geometric concepts and tools needed for solving problems of a geometric nature using a computer, this book attempts to fill the gap between standard geometry books, which are primarily theoretical, and applied books on co
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38 Editors
J.E. Marsden
L. Sirovich M. Golubitsky
w.Jager
Advisors G.looss P. Holmes D. Barkley M. Dellnitz P. Newton
Springer Science+Business Media, LLC
Texts in Applied Mathematics I. 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 .
Sirovich: Introduction to Applied Mathematics. Wiggins: Introduction to Applied Nonlinear Dynamical Systems and Chaos. HaleIKor;ak: Dynamics and Bifurcations. Chorin/Marsden: A Mathematical Introduction to Fluid Mechanics, 3rd ed. Hubbard/West: Differential Equations: A Dynamical Systems Approach: Ordinary Differential Equations. Sontag: Mathematical Control Theory: Deterministic Finite Dimensional Systems, 2nd ed. Perko: Differential Equations and Dynamical Systems, 2nd ed. Seaborn: Hypergeometric Functions and Their Applications. Pipkin: A Course on Integral Equations. HoppensteadtlPeskin: Mathematics in Medicine and the Life Sciences. Braun: Differential Equations and Their Applications, 4th ed. StoeriBulirsch: Introduction to Numerical Analysis, 2nd ed. RenardylRogers: A First Graduate Course in Partial Differential Equations. Banks: Growth and Diffusion Phenomena: Mathematical Frameworks and Applications. BrennerlScott: The Mathematical Theory of Finite Element Methods. Van de Velde: Concurrent Scientific Computing. Marsden/Ratiu : Introduction to Mechanics and Symmetry, 2nd ed. Hubbard/West: Differential Equations: A Dynamical Systems Approach : HigherDimensional Systems. Kaplan/Glass: Understanding Nonlinear Dynamics. Holmes: Introduction to Perturbation Methods. Curtain/Zwart: An Introduction to Infinite-Dimensional Linear Systems Theory. Thomas: Numerical Partial Differential Equations: Finite Difference Methods. Taylor: Partial Differential Equations: Basic Theory. Merkin: Introduction to the Theory of Stability of Motion. Naber: Topology, Geometry, and Gauge Fields: Foundations. Polderman/Willems:Introduction to Mathematical Systems Theory: A Behavioral Approach. Reddy: Introductory Functional Analysis with Applications to Boundary-Value Problems and Finite Elements. Gustafson/Wilcox: Analytical and Computational Methods of Advanced Engineering Mathematics. TveitolWinther: Introduction to Partial Differential Equations: A Computational Approach. Gasquetl Witomski: Fourier Analysis and Applications: Filtering, Numerical Computation, Wavelets. Bremaud: Markov Chains: Gibbs Fields, Monte Carlo Simulation, and Queues. (continued after index)
Jean Gallier
Geometric Methods and Applications For Computer Science and Engineering
With 75 Illustrations
"
Springer
Jean Gallier Department of Computer and Information Science University of Pennsylvania 200 South 33rd Street Philadelphia, PA 19104-6389 USA [email protected]
Series Editors
J.E. Marsden
L. Sirovich Division of Applied Mathematics Brown University Providence, RI 02912 USA
M. Gulubitsky Department of Mathematics University of Houston Houston, TX 77204-3476
W.Jager Department of Applied Mathematics U niversitiit Heidelberg 1m Neuenhe
