Peter Olver's Books

• Applied Linear Algebra, with Chehrzad Shakiban
  • Undergraduate Texts in Mathematics, Springer, New York, 2018.
  • Second edition — in both hardcover and eBook versions
  • Description, price, and ordering information
  • Web page with cover art
  • Table of Contents
  • Corrections to first printing (2018) — last updated March 18, 2024
  • Students' Solutions Manual
  • Instructor's Solutions Manual — available to registered instructors. Apply for the manual here.  Note: to fill out the short application form you will need the text's eISBN number:   978-3-319-91041-3
  • Matlab Programs
  • First edition — web page

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• Introduction to Partial Differential Equations
  • Undergraduate Texts in Mathematics, Springer, New York, 2014.
  • Third corrected printing (2020) now available — in both hardcover and eBook versions
  • Description, price, and ordering information
  • Web page with cover art
  • Table of Contents
  • Movies illustrating the text
  • Lecture Notes on Complex Analysis and Conformal Mapping — can be used to supplement the text
  • Corrections to third printing (2020) — last updated August 29, 2022
  • Corrections to second printing (2016) — last updated July 4, 2022
  • Corrections to first printing (2014) — last updated July 4, 2022
    • Corrected page 196 (first printing)
    • Corrected page 272 (first printing) — Concise Table of Fourier Transforms
  • Students' Solutions Manual
  • Instructor's Solutions Manual — available to registered instructors here

• Classical Invariant Theory
  • Cambridge University Press, Cambridge, UK, 1999.
  • Description, price, and ordering information:    hardcover    paperback
  • Table of contents
  • Corrections — last updated October 7, 2018

• Equivalence, Invariants, and Symmetry
  • Cambridge University Press, Cambridge, UK, 1995.
  • Description, price, and ordering information:    hardcover    paperback
  • Table of contents
  • Preface
  • Corrections to second printing — last updated January 4, 2021
  • Corrections to first printing — last updated January 4, 2021

• Applications of Lie Groups to Differential Equations
  
  • Second Edition, Graduate Texts in Mathematics, vol. 107, Springer-Verlag, New York, 1993.
  • Description, price, and ordering information
  • Corrections to second (corrected) printing and paperback version of second edition — last updated February 21, 2023
  • Corrections to first printing of second edition — last updated February 21, 2023

• Kac, V., Olver, P.J., Winternitz, P., and Özer, T., eds., Symmetries, Differential Equations and Applications, Proceedings in Mathematics & Statistics, Springer, New York, 2018.
  • Description, price, and ordering information

• Acosta-Humánez, P.B., Finkel, F., Kamran, N., and Olver, P.J., eds., Lie Algebraic Aspects of Darboux Transformations, Quantum Integrable Systems and Supersymmetric Quantum Mechanics, Contemporary Mathematics, vol. 563, American Mathematical Society, Providence, R.I., 2012.
  • Description, price, and ordering information

• Kalnins, E., Kamran, N., Olver, P., and Winternitz, P., eds., Symmetry, Separation, Super-integrability and Special Functions (S4), Special Issue, Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), 2011.

• Levi, D., Olver, P., Thomova, Z., and Winternitz, P., eds., Symmetries and Integrability of Difference Equations, London Math. Soc. Lecture Note Series, vol. 381, Cambridge University Press, Cambridge, 2011.
  • Description, price, and ordering information

• Levi, D., Olver, P., Thomova, Z., and Winternitz, P., eds., Symmetries and Integrability of Difference Equations, Journal of Physics A, vol. 42, no. 45, IOP Publishing, Bristol, UK, 2009.

• 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
  • Description, price, and ordering information

• Li, H., Olver, P.J., and Sommer, G., eds., Computer Algebra and Geometric Algebra with Applications, Lecture Notes in Computer Science, vol. 3519, Springer, New York, 2005.
  • Description, price, and ordering information

• Cucker, F., DeVore, R., Olver, P.J., and Suli, E., eds., Foundations of Computational Mathematics, Minneapolis 2002, London Math. Soc. Lecture Note Series, vol. 312, Cambridge University Press, Cambridge, 2004
  • Description, price, and ordering information

• Olver, P.J., and Tannenbaum, A., eds., Mathematical Methods in Computer Vision, IMA Volumes in Mathematics and its Applications, vol. 133, Springer, New York, 2003.
  • Description, price, and ordering information

• Ma, W.-X., Olver, P.J., Yan, M., and Hu, J., eds., Recent Advances in Integrable Systems, J. Nonlinear Math. Phys., supplement, 2002.

• Kamran, N., and Olver, P.J., eds., Lie Algebras, Cohomology, and New Applications to Quantum Mechanics, Contemporary Mathematics, vol. 160, American Mathematical Society, Providence, R.I., 1994.
  • Description, price, and ordering information

• Olver, P.J., and Sattinger, D., eds., Solitons in Physics, Mathematics, and Nonlinear Optics, IMA Volumes in Mathematics and its Applications, vol. 25, Springer-Verlag, New York, 1990.
  • Description, price, and ordering information

Phone: 612-625-5591
Fax: 612-626-2017
e-mail: olver@umn.edu
http://www.math.umn.edu/~olver