Books

Last updated September 11, 2008

List of diffiety books and special journal issues

Fat Manifolds and Linear Connections by Alessandro De Paris and A. M. Vinogradov. World Scientific, xii + 297 pages, ISBN: 978-981-281-904-8, 978-981-281-904-5.
Symmetries and Conservation Laws for Differential Equations of Mathematical Physics, second revised edition, Factorial Publ. House, 2005, 380 pages, ISBN: 5-88688-074-7 (in Russian).
Smooth Manifolds and Observables by Jet Nestruev, - Springer-Verlag, Graduate Texts in Mathematics, Vol. 220, 2002, XIII+222 pages.
Symmetries of Differential Equations and Related Topics edited by I. S. Krasil'shchik, Acta Applicandae Mathematicae, Volume 72, Issue 1-2, June 2002.
Cohomological Analysis of Partial Differential Equations and Secondary Calculus by Alexandre Vinogradov, Translations of Mathematical Monographs, vol. 204, AMS, 2001, 247 pages.
Smooth Manifolds and Observables by Jet Nestruev, - MCCME, Moscow, 2000, 300 pages, (in Russian).
Symmetries and Recursion Operators for Classical and Supersymmetric Differential Equations by I. S. Krasil'shchik and Paul Kersten, - Mathematics and its applications, Volume 507, Kluwer Acad. Publ., Dordrecht/Boston/London, 2000, 400 pp.
Symmetries and Conservation Laws for Differential Equations of Mathematical Physics, Translations of Mathematical Monographs, vol. 182, AMS, 1999.
Geometrical aspects of nonlinear differential equations edited by I. S. Krasil'shchik and Alexandre Vinogradov, Acta Applicandae Mathematicae, Volume 56, Issue 2/3, May 1999.
Secondary Calculus and Cohomological Physics, Contemporary Mathematics, vol. 219, AMS, 1998.
Homological methods in equations of mathematical physic by I. S. Krasil'shchik and Verbovetsky A.M., - Open Education, Opava, 1998, 150 pp. See also Diffiety Inst. Preprint Series, DIPS 7/98.
Algebraic aspects of differential calculus edited by I. S. Krasil'shchik and Alexandre Vinogradov, Acta Applicandae Mathematicae, Volume 49, Issue 3, December 1997.
Symmetries and Conservation Laws for Differential Equations of Mathematical Physics, Factorial Publ. House, 1997, 461 pages, ISBN: 5-88688-019-4 (in Russian).
Geometric and Algebraic Structures in Differential Equations edited by I. S. Krasil'shchik and Paul Kersten, - Reprinted from Acta Applicandae Mathematicae 41:1-3, Kluwer Acad. Publ., Dordrecht/Boston/London, 1995, 356 pp.
Geometric and Algebraic Structures in Differential Equations edited by I. S. Krasil'shchik and Paul Kersten, Acta Applicandae Mathematicae, Volume 41, Issue 1/3, December 1995.
Basic Ideas and Concepts of Differential Geometry by D. V. Alekseevskij, A. M. Vinogradov, V. V. Lychagin - Series: Encyclopaedia of Mathematical Sciences. VOL. 28 (Geometry I), Springer-Verlag Berlin/Heidelberg, 1991. V, 264 pp. 62 figs.
Symmetries of Partial Differential Equations - Kluwer Academic Publishers, Dordrecht, 1990, 464 pp.
Symmetries of Partial Differential Equations -- Part I edited by A. M. Vinogradov, Acta Applicandae Mathematicae, Volume 15, Issue 1/2, 1989.
Symmetries of Partial Differential Equations -- Part II edited by A. M. Vinogradov, Acta Applicandae Mathematicae, Volume 16, Issue 1, 1989.
Symmetries of Partial Differential Equations -- Part III edited by A. M. Vinogradov, Acta Applicandae Mathematicae, Volume 16, Issue 2, 1989.
Basic Ideas and Concepts of Differential Geometry by D. V. Alekseevskij, A. M. Vinogradov, V. V. Lychagin - Series: Encyclopaedia of Mathematical Sciences. VOL. 28 (Geometry I), VINITI, Moscow, (1988), 298 pp. 62 figs. (in Russian).
Geometry of Jet Spaces and Nonlinear Differential Equations, I. S. Krasil'shchik, V. V. Lychagin, A. M. Vinogradov, - Advanced Studies in Contemporary Mathematics, 1 (1986), Gordon and Breach, New York, London. xx+441 pp.
Introduction to geometry of nonlinear partial differential equations , I. S. Krasil'shchik, V. V. Lychagin, A. M. Vinogradov, - Nauka, Moscow, (1986), 335 pp. (in Russian).