• Fundamentals of Applied Mathematics, in preparation.
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  • Current versions of chapters

• Applied Linear Algebra, with C. Shakiban, Prentice-Hall, Upper Saddle River, NJ, 2005.
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  • Corrections to first printing -- last updated August 6, 2007
  • Corrections to Student Solutions Manual - last updated August 6, 2007
  • Corrections to Insturctor's Solutions Manual - last updated August 6, 2007
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• Classical Invariant Theory, Cambridge University Press, Cambridge, 1999.
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  • Corrections -- last updated March 14, 2008

• Equivalence, Invariants, and Symmetry, Cambridge University Press, Cambridge, 1995.
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  • Table of contents
  • Preface
  • Corrections to first and second printings -- last updated May 7, 2007
  • Corrections to second printing -- last updated May 7, 2007

• Applications of Lie Groups to Differential Equations, Second Edition, Springer-Verlag, New York, 1993.
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  • Corrections to second edition -- last updated August 20, 2004

• Winternitz, P., Gomez-Ullate, D., Iserles, A., Levi, D., Olver, P.J., Quispel, R., and Tempesta, P., eds., Group Theory and Numerical Analysis, CRM Proceedings & Lecture Notes, vol. 39, American Mathematical Society, Providence, R.I., 2005
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• Li, H., Olver, P.J., Sommer, G., eds., Computer Algebra and Geometric Algebra with Applications, Lecture Notes in Computer Science, vol. 3519, Springer-Verlag, New York, 2005.
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• Cucker, F., DeVore, R., Olver, P.J., Suli, E., eds., Foundations of Computational Mathematics, Minneapolis 2002, London Math. Soc. Lecture Note Series, vol. 312, Cambridge University Press, Cambridge, 2004
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• Olver, P.J., Tannenbaum, A., eds., Mathematical Methods in Computer Vision, IMA Volumes in Mathematics and its Applications, vol. 133, Springer-Verlag, New York, 2003.
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• Ma, W.-X., Olver, P.J., Yan, M., Hu, J., eds., Recent Advances in Integrable Systems, J. Nonlinear Math. Phys., supplement, 2002.

• Kamran, N., Olver, P.J., eds., Lie Algebras, Cohomology, and New Applications to Quantum Mechanics, Contemporary Mathematics, vol. 160, American Mathematical Society, Providence, R.I., 1994.
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• Olver, P.J., Sattinger, D., eds., Solitons in Physics, Mathematics, and Nonlinear Optics, IMA Volumes in Mathematics and its Applications, vol. 25, Springer-Verlag, New York, 1990.

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