Peter Olver's Additional Publications

Last updated:   March 30, 2024

Recent (and not so recent) Preprints

Note: the date listed is the date the preprint was completed. The pdf links are to the most recent versions, dated accordingly.
  1. Olver, P.J., Using moving frames to construct equivariant maps, preprint, 2024.   pdf
  2. Farmakis, G., Kang, J., Olver, P.J., Qu, C., Yin, Z.; New revival phenomena for bidirectional dispersive hyperbolic equations, preprint, 2023.   pdf
  3. Yezzi-Woodley, K., Terwilliger, A., Li, J., Chen, E., Tappen, M., Calder, J., and Olver, P.J., Using machine learning on new feature sets extracted from three-dimensional models of broken animal bones to classify fragments according to break agent, J. Human Evolution, to appear.   pdf
  4. Yezzi-Woodley, K., Calder, J., Sweno, M., Siewert, C., and Olver, P.J., The Batch Artifact Scanning Protocol: A new method using computed tomography (CT) to rapidly create three-dimensional models of objects from large collections en masse, preprint, 2022.   pdf
  5. Olver, P.J., The outline signature of a convex body, preprint, 2022.   pdf
  6. Olver, P.J., Boundary conditions and null Lagrangians in the calculus of variations and elasticity, J. Elasticity, to appear.   pdf
  7. Olver, P.J., Reconstruction of bodies from their projections, preprint, 2021.   pdf
  8. Olver, P.J., A higher order moving frame for equi-affine plane curves, preprint, 2020.   pdf
  9. Olver, P.J., Dispersive fractalization in Fermi-Pasta-Ulam lattices I. The linear regime, preprint, 2018.   pdf
  10. Olver, P.J., Equivariant moving frames for Euclidean surfaces, preprint, 2016.   pdf
  11. Olver, P.J., Moving frame derivation of the fundamental equi-affine differential invariants for level set functions, preprint, 2015.   pdf
  12. Calabi, E., Olver, P.J., and Tannenbaum, A., Invariant numerical approximations to differential invariant signatures, preprint, University of Minnesota, 1995.   pdf
  13. González-López, A., Kamran, N., and Olver, P.J., Quasi-exact solvability in the real domain, preprint, University of Minnesota, 1995.   pdf
  14. Olver, P.J., Invariant theory of biforms, preprint, University of Minnesota, 1986.   Scanned:  pdf
  15. Olver, P.J., Differential hyperforms I, preprint, University of Minnesota, 1982.   Scanned:  pdf
  16. Olver, P.J., On the construction of deformations of integrable systems, preprint, University of Minnesota, 1981.   Scanned:  pdf
  17. Olver, P.J., Symmetry groups and conservation laws in the formal variational calculus, preprint, University of Oxford, 1978.   Scanned:  pdf
  18. Olver, P.J., On the symmetry group of a linear partial differential equation, preprint, University of Chicago, 1977.   Scanned:  pdf
  19. Olver, P.J., Symmetry groups of partial differential equations, thesis, Harvard University, 1976.   Scanned:  pdf
  20. Olver, P.J., Some applications of spline functions to problems in computer graphics, senior honors thesis, Brown University, 1973.   Scanned:  pdf

Appendices and Chapters in Books

  1. Kang, J., Liu, X., Olver, P.J., and Qu, C., Liouville correspondences for integrable hierarchies, in: Nonlinear Systems and Their Remarkable Mathematical Structures: Volume 3, Contributions from China, N. Euler and D.-J. Zhang, eds., CRC Press, 2022, pp. 102-134.   pdf
  2. Olver, P.J., Lie algebras and Lie groups, in: Encyclopedia of Nonlinear Science, A. Scott, ed., Routledge, New York, 2004.   pdf
  3. Olver, P.J., Lie groups and differential equations, in: The Concise Handbook of Algebra, A.V. Mikhalev and G.F. Pilz, eds., Kluwer Acad. Publ., Dordrecht, Netherlands, 2002, pp. 92-97.   pdf
  4. Olver, P.J., and Vorob'ev, E.M., Nonclassical and conditional symmetries, in: CRC Handbook of Lie Group Analysis of Differential Equations, vol. 3, N.H. Ibragimov, ed., CRC Press, Boca Raton, Fl., 1996, pp. 291-328.   pdf
  5. Olver, P.J., Sapiro, G., and Tannenbaum, A., Differential invariant signatures and flows in computer vision: a symmetry group approach, in: Geometry-Driven Diffusion in Computer Vision, B. M. Ter Haar Romeny, ed., Kluwer Acad. Publ., Dordrecht, Netherlands, 1994, pp. 255-306.   pdf
  6. González-López, A., Kamran, N., and Olver, P.J., Quasi-exact solvability in higher dimensions, appendix in: Quasi-Exact Solvability, A.G. Ushveridze, Adam Hilger, Bristol, 1994.   
  7. Olver, P.J., How to find the symmetry group of a differential equation, appendix in: Group Theoretic Methods in Bifurcation Theory, D.H. Sattinger, Lecture Notes in Mathematics, vol. 762, Springer-Verlag, New York, 1979.   pdf

Contributions to Conference Proceedings

  1. Olver, P.J., Divergence invariant variational problems, in: The Philosophy and Physics of Noether's Theorems, J. Read and N.J. Teh, eds., Cambridge University Press, Cambridge, UK, 2022, pp. 134-143.   pdf
  2. Olver, P.J., Normal forms for submanifolds under group actions, in: Symmetries, Differential Equations and Applications, V. Kac, P.J. Olver, P. Winternitz, and T. Özer, eds., Proceedings in Mathematics & Statistics, Springer, New York, 2018, pp. 3-27.   pdf
  3. Olver, P.J., Lectures on moving frames, in: Symmetries and Integrability of Difference Equations, D. Levi, P. Olver, Z. Thomova, and P. Winternitz, eds., London Math. Soc. Lecture Note Series, vol. 381, Cambridge University Press, Cambridge, 2011, pp. 207-246.   pdf
  4. Olver, P.J., Recent advances in the theory and application of Lie pseudo-groups, in: XVIII International Fall Workshop on Geometry and Physics, M. Asorey, J.F. Cariñena, J. Clemente-Gallardo, and E. Martínez, AIP Conference Proceedings, vol. 1260, American Institute of Physics, Melville, NY, 2010, pp. 35-63.   pdf
  5. Olver, P.J., Invariant variational problems and invariant flows via moving frames, in: Variations, Geometry and Physics, O. Krupková and D. Saunders, eds., Nova Science Publ., New York, 2009, pp. 209-235.   pdf
  6. Olver, P.J., and Pohjanpelto, J., Pseudo-groups, moving frames, and differential invariants, in: Symmetries and Overdetermined Systems of Partial Differential Equations, M. Eastwood and W. Miller, Jr., eds., IMA Volumes in Mathematics and Its Applications, vol. 144, Springer-Verlag, New York, 2008, pp. 127-149.   pdf
  7. Olver, P.J., and Pohjanpelto, J., Differential invariants for Lie pseudo-groups, in: Gröbner Bases in Symbolic Analysis; M. Rosenkranz, D. Wang, eds, Radon Series Comp. Appl. Math., vol. 2, Walter de Gruyter, Berlin, 2007, pp. 217-243.   pdf
  8. Olver, P.J., and Pohjanpelto, J., Moving frames and differential invariants for Lie pseudo-groups, in: Symmetry and Perturbation Theory, G. Gaeta, R. Vitolo, and S. Walcher, eds., World Scientific, Singapore, 2007, pp. 172-180.   pdf
  9. Welk, M., Kim, P., and Olver, P.J., Numerical invariantization for morphological PDE schemes, in: Scale Space and Variational Methods in Computer Vision, F. Sgallari, A. Murli, and N. Paragios, eds., Lecture Notes in Computer Science, vol. 4485, Springer-Verlag, New York, 2007, pp. 508-519.   pdf
  10. Rathi, Y., Olver, P.J., Sapiro, G., and Tannenbaum, A., Affine invariant surface evolutions for 3D image segmentation, in: Image Processing: Algorithms and Systems, Neural Networks, and Machine Learning, E.R. Dougherty, J.T. Astola, K.O. Egiazarian, N.M. Nasrabadi, and S.A. Rizvi, eds., vol. 6064, SPIE Press, Bellingham, Wash., 2006, pp. 606401.   pdf
  11. Olver, P.J., A survey of moving frames, in: Computer Algebra and Geometric Algebra with Applications, H. Li, P.J. Olver, and G. Sommer, eds., Lecture Notes in Computer Science, vol. 3519, Springer-Verlag, New York, 2005, pp. 105-138.   pdf
  12. Olver, P.J., and Pohjanpelto, J., Regularity of pseudogroup orbits, in: Symmetry and Perturbation Theory, G. Gaeta, B. Prinari, S. Rauch-Wojciechowski, and S. Terracini, eds., World Scientific, Singapore, 2005, pp. 244-254.   pdf
  13. Olver, P.J., An introduction to moving frames, in: Geometry, Integrability and Quantization; vol. 5, I.M. Mladenov and A.C. Hirschfeld, eds., Softex, Sofia, Bulgaria, 2004, pp. 67-80.   pdf
  14. Olver, P.J., Nonlocal symmetries and ghosts, in: New Trends in Integrability and Partial Solvability, A.B. Shabat et. al., eds., Kluwer Acad. Publ., Dordrecht, Netherlands, 2004, pp. 199-215.   pdf
  15. Georgiou, T., Olver, P.J., and Tannenbaum, A., Maximal entropy for reconstruction of back projection images, in: Mathematical Methods in Computer Vision, P.J. Olver and A. Tannenbaum, eds., IMA Volumes in Mathematics and its Applications, vol. 133, Springer-Verlag, New York, 2003, pp. 57-64.   pdf
  16. Olver, P.J., Moving frames: a brief survey, in: Symmetry and Perturbation Theory, D. Bambusi, M. Cadoni, and G. Gaeta, eds., World Scientific, Singapore, 2001, pp. 143-150.   pdf
  17. Olver, P.J., Sanders, J., and Wang, J.P., Classification of symmetry-integrable evolution equations, in: Bäcklund and Darboux Transformations. The Geometry of Solitons, A. Coley, D. Levi, R. Milson, C. Rogers, and P. Winternitz, eds., CRM Proceedings & Lecture Notes, vol. 29, 2001, pp. 363-372.   pdf
  18. Olver, P.J., Moving frames — in geometry, algebra, computer vision, and numerical analysis, in: Foundations of Computational Mathematics, R. DeVore, A. Iserles, and E. Suli, eds., London Math. Soc. Lecture Note Series, vol. 284, Cambridge University Press, Cambridge, 2001, pp. 267-297.   pdf
  19. Fels, M., and Olver, P.J., Moving frames and moving coframes, in: Algebraic Methods in Physics, Y. Saint-Aubin and L. Vinet, eds., CRM Series in Math. Phys., Springer-Verlag, New York, 2001, pp. 47-64.   pdf
  20. Foursov, M.V., and Olver, P.J., On the classification of symmetrically-coupled integrable evolution equations, in: Symmetries and Differential Equations, V.K. Andreev and Yu.V. Shanko, eds, Institute of Computational Modelling, Krasnoyarsk, Russia, 2000, pp. 244-248.   pdf
  21. Olver, P.J., Moving frames, RIMS Kokyuroku 1150 (2000), 114-124.   pdf
  22. Li, Y.A., Olver, P.J., and Rosenau, P., Non-analytic solutions of nonlinear wave equations, in: Nonlinear Theory of Generalized Functions, M. Grosser, G. Hormann, M. Kunzinger, and M. Oberguggenberger, eds., Research Notes in Mathematics, vol. 401, Chapman and Hall/CRC, New York, 1999, pp. 129-145.   pdf
  23. Olver, P.J., A quasi-exactly solvable travel guide, in: GROUP21: Physical Applications and Mathematical Aspects of Geometry, Groups, and Algebras, vol. 1, H.-D. Doebner, W. Scherer, and P. Nattermann, eds., World Scientific, Singapore, 1997, pp. 285-295.   pdf
  24. Heredero, R.H., Olver, P.J., Classification of invariant wave equations, in: GROUP21: Physical Applications and Mathematical Aspects of Geometry, Groups, and Algebras, vol. 2, H.-D. Doebner, W. Scherer, and C. Schulte, eds., World Scientific, Singapore, 1997, pp. 1010-1016.   pdf
  25. Fokas, A.S., Olver, P.J., and Rosenau, P., A plethora of integrable bi-Hamiltonian equations, in: Algebraic Aspects of Integrable Systems: In Memory of Irene Dorfman, A.S. Fokas and I.M. Gel'fand, eds., Progress in Nonlinear Differential Equations, vol. 26, Birkhäuser, Boston, 1996, pp. 93-101.   pdf
  26. Olver, P.J., Sapiro, G., and Tannenbaum, A., Affine invariant gradient flows, in: ICAOS '96: Images, Wavelets and PDE's, M.-O. Berger, et. al., eds., Lecture Notes in Control and Information Sciences, vol. 219, Springer-Verlag, New York, 1996, pp. 194-200.   pdf
  27. Olver, P.J., Sapiro, G., and Tannenbaum, A., Affine invariant detection: edges, active contours, and segments, in: Proceedings 1996 IEEE Computer Society Conference on Computer Vision and Pattern Recognition Proceedings, IEEE Computer Soc. Press, Los Alamitos, CA, 1996, pp. 520-525.   pdf
  28. Yezzi, A., Kichenassamy, S., Kumar, A., Olver, P., and Tannenbaum, A., A gradient surface evolution approach to 3D segmentation, in: Proceedings of the IS&T's 49th Annual Conference; Society for Imaging Science and Technology, Springfield, Virginia, 1996, pp. 305-307   pdf
  29. Finkel, F., González-López, A., Kamran, N., Olver, P.J., and Rodriguez, M.A., Lie algebras of differential operators and partial integrability, in: Proceedings of IV Workshop on Differential Geometry and its Applications; Santiago de Compostela, Spain, 1995.   pdf
  30. Kumar, A., Yezzi, A., Kichenassamy, S., Olver, P.J., Tannenbaum, A., Active contours for visual tracking: a geometric gradient based approach, in: Proceedings of the 34th Conference on Decision and Control, IEEE Computer Soc. Press, Piscataway, N.J., 1995, pp. 4041-4046.   pdf
  31. Kichenassamy, S., Kumar, A., Olver, P.J., Tannenbaum, A., and Yezzi, A., Gradient flows and geometric active contour models, in: Fifth International Conference on Computer Vision, IEEE Computer Soc. Press, Cambridge, Mass., 1995, pp. 810-815.   pdf
  32. Olver, P.J., Higher order models for water waves, in: Geometrical Methods in Fluid Dynamics, R. Salmon and B. Ewing-Deremer, eds., Woods Hole Oceanographic Institution, Technical Report WHOI-94-12, Woods Hole, MA, 1994, pp. 327-331.   Scanned:  pdf
  33. Anderson, I.M., Kamran, N., and Olver, P.J., Internal symmetries of differential equations, in: Modern Group Analysis: Advanced Analytical and Computational Methods in Mathematical Physics, N.H. Ibragimov, M. Torrisi, and A. Valenti, eds., Kluwer, Dordrecht, Netherlands, 1993, pp. 7-21.   pdf
  34. Olver, P.J., Canonical forms for biHamiltonian systems, in: The Verdier Memorial Conference on Integrable Systems, O. Babelon, P. Cartier, and Y. Kosmann-Schwarzbach eds., Progress in Math., Birkhäuser, Boston, 1993, pp. 239-249.   pdf
  35. González-López, A., Kamran, N., and Olver, P.J., New quasi-exactly solvable Hamiltonians in two dimensions, in: Group Theoretic Methods in Physics, M.A. del Olmo, M. Santander, and J. Mateos Guilarte, eds., Proc. XIX International Colloquium, Anales de Física Monografias, Editorial Ciemat, Madrid, 1992, Vol. I, pp. 233-236.   pdf
  36. Olver, P.J., Canonical forms for compatible biHamiltonian systems, in: Solitons and Chaos, I. Antoniou, and F. Lambert, eds., Springer-Verlag, New York, 1991, pp. 171-179.   Scanned:  pdf
  37. González-López, A., Kamran, N., and Olver, P.J., Lie algebras of first order differential operators in two complex variables, in: Differential Geometry, Global Analysis, and Topology, A. Nicas and W.F. Shadwick, eds., Canadian Math. Soc. Conference Proceedings, vol. 12, Amer. Math. Soc., Providence, R.I., 1991, pp. 51-84.   
  38. Olver, P.J., Canonical anisotropic elastic moduli, in: Modern Theory of Anisotropic Elasticity and Applications, J.J. Wu, T.C.T. Ting, and D.M. Barnett, eds., SIAM, Philadelphia, 1991, pp. 325-339.   Scanned:  pdf
  39. Olver, P.J., Internal symmetries of differential equations, in: Differential Equations and Computer Algebra, M. Singer, ed., Academic Press, New York, 1991, pp. 1-28.   
  40. Olver, P.J., Invariant theory, equivalence problems and the calculus of variations, in: Invariant Theory and Tableaux, D. Stanton, ed., IMA Volumes in Mathematics and Its Applications, vol. 19, Springer-Verlag, New York, 1990, pp. 59-81.   pdf
  41. Olver, P.J., Recursion operators and Hamiltonian systems, in: Symmetries and Nonlinear Phenomena, D. Levi and P. Winternitz, eds., CIF Series, Vol. 9, World Scientific, Singapore, 1988, pp. 222-249.   Scanned:  pdf
  42. Olver, P.J., Generalized symmetries, in: XV International Colloquium on Group Theoretical Methods in Physics, R. Gilmore, ed., World Scientific, Singapore, 1987, pp. 216-228.   
  43. Olver, P.J., Conservation laws in continuum mechanics, in: Non-classical Continuum Mechanics, R.J. Knops and A.A. Lacey, eds., London Math. Soc. Lecture Note Series #122, Cambridge Univ. Press, Cambridge, 1987, pp. 96-107.   Scanned:  pdf
  44. Olver, P.J., BiHamiltonian systems, in: Ordinary and Partial Differential Equations, B.D. Sleeman and R.J. Jarvis, eds., Pitman Research Notes in Mathematics Series, No. 157, Longman Scientific and Technical, New York, 1987, pp. 176-193.   Scanned:  pdf
  45. Olver, P.J., Invariant theory and differential equations, in: Invariant Theory, S.S. Koh, ed., Lecture Notes in Mathematics, vol. 1278, Springer-Verlag, New York, 1987, pp. 62-80.   Scanned:  pdf
  46. Olver, P.J., Noether's theorems and systems of Cauchy-Kovalevskaya type, in: Nonlinear Systems of Partial Differential Equations in Applied Mathematics, B. Nicholaenko, D.D. Holm, and J.M. Hyman, eds., Lectures in Applied Math., vol. 23, part 2, Amer. Math. Soc., Providence, R.I., 1986, pp. 81-104.   Scanned:  pdf
  47. Olver, P.J., Symmetry groups and path-independent integrals, in: Fundamentals of Deformation and Fracture, B.A. Bilby, K.J. Miller and J.R. Willis, eds., Cambridge Univ. Press, New York, 1985, pp. 57-71.   Scanned:  pdf
  48. Olver, P.J., Hamiltonian and non-Hamiltonian models for water waves, in: Trends and Applications of Pure Mathematics to Mechanics, P.G. Ciarlet and M. Roseau, eds., Lecture Notes in Physics No. 195, Springer-Verlag, New York, 1984, pp. 273-290.   Scanned:  pdf
  49. Olver, P.J., Group-theoretic classification of conservation laws in elasticity, in: Systems of Nonlinear Partial Differential Equations, J.M. Ball, ed., D. Reidel, Boston, 1983, pp. 323-331.   pdf
  50. Olver, P.J., and Shakiban, C., A resolution of the Euler operator, in: Proceedings of the Eighth National Mathematics Conference, M. Nouri-Moghadam, ed., Arya-Mehr Univ. Tech., Tehran, Iran, 1977, pp. 325-337.   

Expository Papers

  1. Aronson, D., Olver, P.J., and Santosa F. (eds.), Hans F. Weinberger (1928-2017), Notices Amer. Math. Soc. 65 (2018), 850-855; Chinese translation in Mathematical Advances in Translation 1 (2019) 20-27.  pdf
  2. Aronson, D., Olver, P.J., and Santosa F., Obituary: Hans F. Weinberger, SIAM News 51(6) (2018), 3.  pdf
  3. Olver, P.J., The world digital mathematics library: report of a panel discussion, in: Proceedings of the International Congress of Mathematicians, Seoul 2014, vol. 1, S.Y. Jang, Y.R. Kim, D.-W. Lee, I. Yie, eds., Kyung Moon SA, Seoul, Korea, 2014, pp. 773-785.   pdf
  4. Olver, P.J., Journals in flux, Notices Amer. Math. Soc. 58 (2011), 1124-1126.   pdf
  5. Olver, P.J., From the Chair of the Committee on Electronic Information and Communication (CEIC), IMU-Net 45, January 2011.
  6. Lozier, D. and Olver, P., The Digital Library of Mathematical Functions, IMU-Net 33, January 2009.

Book Reviews

  1. Neuenschwander, D.E., Emmy Noether's Wonderful Theorem, revised ed., Johns Hopkins Univ. Press, Baltimore, MD, 2017 — in: American J. Physics 86 (2018), 955-957.
  2. Ibragimov, N.H., Transformation groups and Lie algebras, World Scientific Publishing Co. Pte. Ltd., Hackensack, NJ, 2013 — in: MathSciNet (2015), MR3236114.
  3. Kosmann-Schwarzbach, Y., The Noether Theorems. Invariance and Conservation Laws in the Twentieth Century, translated by B.E. Schwarzbach, Springer, New York, 2011 — in: Bull. Amer. Math. Soc. 50 (2013), 161-167.
  4. Goodman, R., and Wallach, N.R., Symmetry, Representations, and Invariants, Graduate Texts in Mathematics, vol. 255, Springer, New York, 2009 — in: SIAM Review 53 (2011), 599-600.
  5. Mansfield, E.L., A Practical Guide to the Invariant Calculus, Cambridge University Press, Cambridge, 2010 — in: SIAM Review 53 (2011), 596-599.
  6. Gadea, P.M., and Munoz Masque, J., Analysis and Algebra on Differentiable Manifolds: A Workbook for Students and Teachers, Springer, New York, 2009 — in: SIAM Review 53 (2011), 202-203.
  7. Gilmore, R., Lie Groups, Physics, and Geometry. An Introduction for Physicists, Engineers, and Chemists, Cambridge University Press, New York, 2008 — in: Physics Today 62 (3) (2009), 55-56.
  8. Schwarz, F., Algorithmic Lie Theory for Solving Ordinary Differential Equations, Chapman & Hall/CRC, Boca Raton, Fl, 2008 — in: Math. Reviews, MR2351266 (2009a:34015).
  9. Bryant, R., Griffiths, P., and Grossman, D., Exterior Differential Systems and Euler-Lagrange Partial Differential Equations, University of Chicago Press, 2003 — in: Bull. Amer. Math. Soc. 42 (2005), 407-412.
  10. Lee, J.M., Introduction to Smooth Manifolds, Graduate Texts in Mathematics, vol. 218, Springer-Verlag, New York, 2003 — in: SIAM Review 46 (2004), 179-180.
  11. Hydon, P.E., Symmetry Methods for Differential Equations, Cambridge University Press, Cambridge, 2000 — in: Zeit. Angew. Math. Mechanik 81 (2001), 612.
  12. Andreev, V.K., Kaptsov, O.V., Pukhanachov, V.V., and Rodinov, A.A., Applications of Group-Theoretical Methods in Hydrodynamics, Kluwer Academic Publ., Dordrecht, Netherlands, 1998 — in: Zeit. Angew. Math. Physik 52 (2001), 896-897.
  13. Duistermaat, J.J., and Kolk, J.A.C., Lie Groups, Springer-Verlag, New York, 1999 — in: SIAM Review 43 (2001), 399-400.
  14. Krasil'shchik, I.S., and Vinogradov, A.M., eds., Symmetries of Differential Equations in Mathematical Physics, American Mathematical Society, 1998 — in: Bull. Amer. Math. Soc. 37 (2000), 369-371.
  15. Fushchich, W.I., and Nikitin, A.G., Symmetries of Equations of Quantum Mechanics, Allerton Press, New York, 1994 — in: Foundations of Physics 77 (1995), 297.
  16. Dorfman, I., Dirac Structures and Integrability of Nonlinear Evolution Equations, Nonlinear Science: Theory and Applications, J. Wiley & Sons, New York, 1993 — in: Bull. Amer. Math. Soc. 31 (1994), 305-308.
  17. Zharinov, V.V., Geometrical Aspects of Partial Differential Equations, World Scientific, Singapore, 1992 — in: SIAM Review 35 (1993), 675-676.
  18. Golubitsky, M., and Stewart, I., Fearful Symmetry: Is God a Geometer?, Blackwell, Oxford, 1992 — in: SIAM News 26 (1) (1993), 9, 19.
  19. Stephani, H., Differential Equations: Their Solution Using Symmetries, Cambridge University Press, Cambridge, 1989 — in: SIAM Review 33 (1991), 330-332.
  20. Rogers, C., and Ames, W.F., Nonlinear Boundary Value Problems in Science and Engineering, Academic Press, New York, 1989 — in: Math. of Computation, 55 (1990), 873-874.
  21. Bluman, G.W., and Kumei, S., Symmetries and Differential Equations, Springer-Verlag, New York, 1989 — in: SIAM Review 32 (1990), 517-519.
  22. Fushchich, W.I., and Nikitin, A.G., Symmetries of Maxwell's Equations, Mathematics and its Applications (Soviet Series), D. Reidel Publ. Co., Boston, 1987 — in: American Scientist 77 (1989), 297.
  23. Fushchich, W.I., and Nikitin, A.G., Symmetries of Maxwell's Equations, Mathematics and its Applications (Soviet Series), D. Reidel Publ. Co., Boston, 1987 — in: Bull. Amer. Math. Soc. 19 (1988), 545-550.
  24. Ibragimov, N.H., Transformation Groups Applied to Mathematical Physics, Mathematics and its Applications (Soviet Series), D. Reidel Publ. Co., Boston, 1985 — in: American Scientist 75 (1987), 211-212.