(List is non-exhaustive) Differential Geometry and Topology
Plenum Publishing Corporation. 1987. USA, Consultants Bureau, New York and London.
Variational Principles in Topology. Multidimensional Minimal SurfaceTheory Kluwer Academic Publishers, The Netherlands, 1990.
Topological variational problems. - Gordon and Breach, 1991.
Integrability and Nonintegrability in Geometry and Mechanics Kluwer Academic Publishers, The Netherlands, 1988.
The Plateau Problem, vols.l, 2
Gordon and Breach, 1990. (Studies in the Development of Modern Mathematics.)
Symplectic Geometry. Methods and Applications.
Gordon and Breach, 1988. Second edition 1995.
Minimal surfaces and Plateau problem. Together with Dao Chong Thi USA, American Mathematical Society, 1991.
Integrable Systems on Lie Algebras and Symmetric Spaces. Together with V. V. Trofimov Gordon and Breach, 1987.
Geometry of Minimal Surfaces in Three-Dimensional Space. Together with A. A.Tuzhilin USA, American Mathematical Society. In: Translation of Mathematical Monographs, vol.93,1991.
Topological Classification of Integrable Systems. Advances in Soviet Mathematics, vol. 6 USA, American Mathematical Society, 1991.
Tensor and Vector Analysis: Geometry, Mechanics and Physics. - Taylor and Francis, 1988.
Algorithmic and Computer Methods for Three-Manifolds. Together with S.V. Matveev Kluwer Academic Publishers, The Netherlands, 1997.
Topological Modeling for Visualization. Together with T. L. Kunii. - Springer-Verlag, 1997.
Modern Geometry. Methods and Applications. Together with B. A. Dubrovin, S. P. Novikov Springer-Verlag, GTM 93, Part 1, 1984; GTM 104, Part 2, 1985. Part 3, 1990, GTM 124.
The basic elements of differential geometry and topology. Together with S. P. Novikov Kluwer Acad. Publishers, The Netherlands, 1990.
Integrable Hamiltonian Systems: Geometry, Topology, Classification. Together with A. V. Bolsinov Taylor and Francis, 2003.
Empirico-Statistical Analysis of Narrative Material and its Applications to Historical Dating. Vol.1: The Development of the Statistical Tools. Vol.2: The Analysis of Ancient and Medieval Records. - Kluwer Academic Publishers. The Netherlands, 1994.
Geometrical and Statistical Methods of Analysis of Star Configurations. Dating Ptolemy's Almagest. Together with V. V Kalashnikov., G. V. Nosovsky. - CRC-Press, USA, 1993.
New Methods of Statistical Analysis of Historical Texts. Applications to Chronology. Antiquity in the Middle Ages. Greek and Bible History. Vols. 1,2,3.- The Edwin Mellen Press. USA. Lewiston. Queenston. Lampeter, 1999.
Mathematical Impressions. - American Mathematical Society, USA, 1990.
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