Arnold, Vladimir I. Givental, Alexander B. (ed.); Khesin, Boris A. (ed.); Sevryuk, Mikhail B. (ed.); Vassiliev, Victor A. (ed.); Viro, Oleg Ya. (ed.) Vladimir I. Arnold. Collected works Vol. VI. Dynamics, combinatorics, and invariants of knots, curves, and wave fronts 1992–1995. Translated from the Russian, French and Spanish. Edited by Alexander B. Givental, Boris A. Khesin, Mikhail B. Sevryuk, Victor A. Vassiliev and Oleg Ya. Viro. (English) Zbl 1519.01026 Cham: Springer (ISBN 978-3-031-04800-5/hbk; 978-3-031-04803-6/pbk). xv, 491 p. (2023). MSC: 01A75 37-03 05-03 57-03 PDFBibTeX XMLCite \textit{V. I. Arnold} et al., Vladimir I. Arnold. Collected works Vol. VI. Dynamics, combinatorics, and invariants of knots, curves, and wave fronts 1992--1995. Translated from the Russian, French and Spanish. Edited by Alexander B. Givental, Boris A. Khesin, Mikhail B. Sevryuk, Victor A. Vassiliev and Oleg Ya. Viro. Cham: Springer (2023; Zbl 1519.01026)
Arnold, Vladimir I.; Khesin, Boris A. Topological methods in hydrodynamics. 2nd edition. (English) Zbl 1475.76003 Applied Mathematical Sciences 125. Cham: Springer (ISBN 978-3-030-74277-5/hbk; 978-3-030-74280-5/pbk; 978-3-030-74278-2/ebook). xx, 455 p. (2021). MSC: 76-02 76B47 76W05 58D30 PDFBibTeX XMLCite \textit{V. I. Arnold} and \textit{B. A. Khesin}, Topological methods in hydrodynamics. 2nd edition. Cham: Springer (2021; Zbl 1475.76003) Full Text: DOI
Arnold, Vladimir I. Givental, Alexander B. (ed.); Khesin, Boris (ed.); Sevryuk, Mikhail B. (ed.); Vassiliev, Victor A. (ed.); Viro, Oleg Ya. (ed.) Vladimir I. Arnold. Collected Works. Vol. IV. Singularities in symplectic and contact geometry 1980–1985. Edited by Alexander B. Givental, Boris Khesin, Mikhail B. Sevryuk, Victor A. Vassiliev and Oleg Ya. Viro. (English) Zbl 1388.01041 Berlin: Springer (ISBN 978-3-662-56188-1/hbk). xvi, 525 p. (2018). MSC: 01A75 53-03 58-03 PDFBibTeX XMLCite \textit{V. I. Arnold} et al., Vladimir I. Arnold. Collected Works. Vol. IV. Singularities in symplectic and contact geometry 1980--1985. Edited by Alexander B. Givental, Boris Khesin, Mikhail B. Sevryuk, Victor A. Vassiliev and Oleg Ya. Viro. Berlin: Springer (2018; Zbl 1388.01041)
Arnold, V. I. Lectures and problems: a gift to young mathematicians. Translated by Dmitry Fuchs and Mark Saul. (English) Zbl 1331.00009 MSRI Mathematical Circles Library 17. Providence, RI: American Mathematical Society (AMS); Berkeley, CA: Mathematical Sciences Research Institut (MSRI) (ISBN 978-1-4704-2259-2/pbk). viii, 176 p. (2015). Reviewer: Teodora-Liliana Rădulescu (Craiova) MSC: 00A09 00A07 11Axx PDFBibTeX XMLCite \textit{V. I. Arnold}, Lectures and problems: a gift to young mathematicians. Translated by Dmitry Fuchs and Mark Saul. Providence, RI: American Mathematical Society (AMS); Berkeley, CA: Mathematical Sciences Research Institut (MSRI) (2015; Zbl 1331.00009)
Arnold, V. I. Experimental mathematics. (English) Zbl 1323.00003 MSRI Mathematical Circles Library 16. Providence, RI: American Mathematical Society (AMS); Berkeley, CA: Mathematical Sciences Research Institut (MSRI) (ISBN 978-0-8218-9416-3/pbk). vii, 158 p. (2015). Reviewer: Panayiotis Vlamos (Athena) MSC: 00A05 00A09 11D07 11A55 20B30 05A05 34C07 PDFBibTeX XMLCite \textit{V. I. Arnold}, Experimental mathematics. Providence, RI: American Mathematical Society (AMS); Berkeley, CA: Mathematical Sciences Research Institut (MSRI) (2015; Zbl 1323.00003)
Arnold, Vladimir I. Givental, Alexander B. (ed.); Khesin, Boris A. (ed.); Varchenko, Alexander N. (ed.); Vassiliev, Victor A. (ed.); Viro, Oleg Ya. (ed.) Vladimir I. Arnold – Collected works. Vol. II. Hydrodynamics, bifurcation theory, and algebraic geometry 1965–1972. Edited by Alexander B. Givental, Boris A. Khesin, Alexander N. Varchenko, Victor A. Vassiliev and Oleg Ya. Viro. (English) Zbl 1354.01038 Berlin: Springer (ISBN 978-3-642-31030-0/hbk; 978-3-642-31031-7/ebook). xiii, 464 p. (2014). Reviewer: Gerard Misiołek (Notre Dame) MSC: 01A75 14-03 37-03 76-03 PDFBibTeX XMLCite \textit{V. I. Arnold} et al., Vladimir I. Arnold -- Collected works. Vol. II. Hydrodynamics, bifurcation theory, and algebraic geometry 1965--1972. Edited by Alexander B. Givental, Boris A. Khesin, Alexander N. Varchenko, Victor A. Vassiliev and Oleg Ya. Viro. Berlin: Springer (2014; Zbl 1354.01038) Full Text: DOI
Arnold, Vladimir I. Real algebraic geometry. Translated from the Russian by Gerald G. Gould and David Kramer. (English) Zbl 1268.14001 Unitext 66. La Matematica per il 3+2. Berlin: Springer (ISBN 978-3-642-36242-2/pbk; 978-3-642-36243-9/ebook). ix, 100 p. (2013). Reviewer: Werner Kleinert (Berlin) MSC: 14-01 14P05 14P25 13J30 14H50 97G40 PDFBibTeX XMLCite \textit{V. I. Arnold}, Real algebraic geometry. Translated from the Russian by Gerald G. Gould and David Kramer. Berlin: Springer (2013; Zbl 1268.14001) Full Text: DOI
Arnold, V. I.; Varchenko, A. N.; Givental, A. B.; Khovanskii, A. G. Singularities of functions, wave fronts, caustics and multidimensional integrals. (English) Zbl 1255.58002 Rev. Math. Math. Phys. 14, No. 2, 1-92 (2012). MSC: 58C25 58K99 78A05 01A75 PDFBibTeX XMLCite \textit{V. I. Arnold} et al., Rev. Math. Math. Phys. 14, No. 2, 1--92 (2012; Zbl 1255.58002)
Arnold, V. I.; Gusein-Zade, S. M.; Varchenko, A. N. Singularities of differentiable maps, Volume 1. Classification of critical points, caustics and wave fronts. Transl. from the Russian by Ian Porteous, edited by V. I. Arnol’d. Reprint of the 1985 hardback edition. (English) Zbl 1290.58001 Modern Birkhäuser Classics. Boston, MA: Birkhäuser (ISBN 978-0-8176-8339-9/pbk; 978-0-8176-8340-5/ebook). xii, 382 p. (2012). Reviewer: Mihai-Marius Tibar (Lille) MSC: 58-02 58C25 58K05 57R45 58K25 58K60 PDFBibTeX XMLCite \textit{V. I. Arnold} et al., Singularities of differentiable maps, Volume 1. Classification of critical points, caustics and wave fronts. Transl. from the Russian by Ian Porteous, edited by V. I. Arnol'd. Reprint of the 1985 hardback edition. Boston, MA: Birkhäuser (2012; Zbl 1290.58001) Full Text: DOI
Arnold, Vladimir I. Complex Euler’s groups and values of Euler’s function at complex integer Gauss points. (English) Zbl 1243.11002 Funct. Anal. Other Math. 3, No. 2, 169-178 (2011). Reviewer: László Tóth (Pécs) MSC: 11A05 11A25 11A41 11R04 PDFBibTeX XMLCite \textit{V. I. Arnold}, Funct. Anal. Other Math. 3, No. 2, 169--178 (2011; Zbl 1243.11002) Full Text: DOI
Arnold, V. I. Dynamics, statistics and projective geometry of Galois fields. (English) Zbl 1219.00001 Cambridge: Cambridge University Press (ISBN 978-0-521-87200-3/hbk; 978-0-521-69290-8/pbk). x, 80 p. (2011). Reviewer: Franco Vivaldi (London) MSC: 00A05 14-01 37-01 60-01 62-01 PDFBibTeX XMLCite \textit{V. I. Arnold}, Dynamics, statistics and projective geometry of Galois fields. Cambridge: Cambridge University Press (2011; Zbl 1219.00001)
Arnold, V. I. Permutations. (English. Russian original) Zbl 1230.05283 Russ. Math. Surv. 64, No. 4, 583-624 (2009); translation from Usp. Mat. Nauk 64, No. 4, 3-44 (2009). MSC: 05E10 05A05 20C30 51E20 60C05 PDFBibTeX XMLCite \textit{V. I. Arnold}, Russ. Math. Surv. 64, No. 4, 583--624 (2009; Zbl 1230.05283); translation from Usp. Mat. Nauk 64, No. 4, 3--44 (2009) Full Text: DOI
Arnold, Vladimir I. Geometry of continued fractions associated with Frobenius numbers. (English) Zbl 1201.11009 Funct. Anal. Other Math. 2, No. 2-4, 129-138 (2009). Reviewer: Oleg Karpenkov (Graz) MSC: 11A55 20M14 11D07 PDFBibTeX XMLCite \textit{V. I. Arnold}, Funct. Anal. Other Math. 2, No. 2--4, 129--138 (2009; Zbl 1201.11009) Full Text: DOI
Arnold, V. Orbits’ statistics in chaotic dynamical systems. (English) Zbl 1161.37039 Nonlinearity 21, No. 7, T109-T112 (2008). Reviewer: Iulian Stoleriu (Iaşi) MSC: 37H10 37N05 60D05 60H25 PDFBibTeX XMLCite \textit{V. Arnold}, Nonlinearity 21, No. 7, T109--T112 (2008; Zbl 1161.37039) Full Text: DOI
Arnold, Vladimir I. Topological classification of Morse functions and generalisations of Hilbert’s 16-th problem. (English) Zbl 1149.57044 Math. Phys. Anal. Geom. 10, No. 3, 227-236 (2007). MSC: 57R70 57R99 58D15 58E05 PDFBibTeX XMLCite \textit{V. I. Arnold}, Math. Phys. Anal. Geom. 10, No. 3, 227--236 (2007; Zbl 1149.57044) Full Text: DOI
Arnold, Vladimir I. Complexity of finite sequences of zeros and ones and geometry of finite spaces of functions. (English) Zbl 1196.11033 Funct. Anal. Other Math. 1, No. 1, 1-15 (2006). MSC: 11B50 PDFBibTeX XMLCite \textit{V. I. Arnold}, Funct. Anal. Other Math. 1, No. 1, 1--15 (2006; Zbl 1196.11033) Full Text: DOI
Arnold, V. I. Geometry and growth rate of Frobenius numbers of additive semigroups. (English) Zbl 1141.11020 Math. Phys. Anal. Geom. 9, No. 2, 95-108 (2006). MSC: 11D45 11P21 11D04 11H06 PDFBibTeX XMLCite \textit{V. I. Arnold}, Math. Phys. Anal. Geom. 9, No. 2, 95--108 (2006; Zbl 1141.11020) Full Text: DOI
Arnold, Vladimir I. On the topology of the eigenfields. (English) Zbl 1134.35300 Topol. Methods Nonlinear Anal. 26, No. 1, 9-16 (2005). MSC: 35-03 35P05 35J05 35J55 58J50 PDFBibTeX XMLCite \textit{V. I. Arnold}, Topol. Methods Nonlinear Anal. 26, No. 1, 9--16 (2005; Zbl 1134.35300) Full Text: DOI
Arnold, V. I. The principle of topological economy in algebraic geometry. (English) Zbl 1076.14500 Prasolov, Victor (ed.) et al., Surveys in modern mathematics. The Independent University of Moscow Seminars. (ISBN 0-521-54793-8/pbk). London Mathematical Society Lecture Note Series 321, 13-23 (2005). Reviewer: Olaf Teschke (Berlin) MSC: 14-01 14F45 PDFBibTeX XMLCite \textit{V. I. Arnold}, Lond. Math. Soc. Lect. Note Ser. 321, 13--23 (2005; Zbl 1076.14500)
Arnold, V. Lobachevsky triangle altitudes theorem as the Jacobi identity in the Lie algebra of quadratic forms on symplectic plane. (English) Zbl 1092.53055 J. Geom. Phys. 53, No. 4, 421-427 (2005). Reviewer: Iskander A. Taimanov (Novosibirsk) MSC: 53D05 PDFBibTeX XMLCite \textit{V. Arnold}, J. Geom. Phys. 53, No. 4, 421--427 (2005; Zbl 1092.53055) Full Text: DOI
Arnold, V. Number-theoretical turbulence in Fermat-Euler arithmetics and large Young diagrams geometry statistics. (English) Zbl 1134.11344 J. Math. Fluid Mech. 7, Suppl. 1, S4-S50 (2005). MSC: 11N69 37B99 05E10 11A07 37A45 PDFBibTeX XMLCite \textit{V. Arnold}, J. Math. Fluid Mech. 7, S4--S50 (2005; Zbl 1134.11344) Full Text: DOI
Arnol’d, V. I. Geometry and dynamics of Galois fields. (English. Russian original) Zbl 1148.37301 Russ. Math. Surv. 59, No. 6, 1029-1046 (2004); translation from Usp. Mat. Nauk 59, No. 6, 23-40 (2004). MSC: 37A45 11T30 PDFBibTeX XMLCite \textit{V. I. Arnol'd}, Russ. Math. Surv. 59, No. 6, 1029--1046 (2004; Zbl 1148.37301); translation from Usp. Mat. Nauk 59, No. 6, 23--40 (2004) Full Text: DOI
Arnold, V. I. Fermat dynamics, matrix arithmetics, finite circles, and finite Lobachevsky planes. (English. Russian original) Zbl 1125.11066 Funct. Anal. Appl. 38, No. 1, 1-13 (2004); translation from Funkts. Anal. Prilozh. 38, No. 1, 1-15 (2004). MSC: 11A07 11B50 11C20 PDFBibTeX XMLCite \textit{V. I. Arnold}, Funct. Anal. Appl. 38, No. 1, 1--13 (2004; Zbl 1125.11066); translation from Funkts. Anal. Prilozh. 38, No. 1, 1--15 (2004) Full Text: DOI
Alekseev, V. B. [Arnold, V. I.; Khovanskii, A.] Abel’s theorem in problems and solutions. Based on the lectures of Professor V. I. Arnold. With a preface and an appendix by Arnold and an appendix by A. Khovanskii. (English) Zbl 1065.12001 Dordrecht: Kluwer Academic Publishers (ISBN 1-4020-2186-0/hbk). xiv, 269 p. (2004). Reviewer: Werner Kleinert (Berlin) MSC: 12F10 30F20 12-02 12-01 12E12 14H55 34M15 12H05 PDFBibTeX XMLCite \textit{V. B. Alekseev}, Abel's theorem in problems and solutions. Based on the lectures of Professor V. I. Arnold. With a preface and an appendix by Arnold and an appendix by A. Khovanskii. Dordrecht: Kluwer Academic Publishers (2004; Zbl 1065.12001)
Arnold, V. I. (ed.) Arnold’s problems. Translated and revised edition of the 2000 Russian original. (English) Zbl 1051.00002 Berlin: Springer (ISBN 3-540-20614-0/hbk). xiv, 639 p. (2004). Reviewer: Vicenţiu D. Rădulescu (Craiova) MSC: 00A07 00A05 58-02 53-02 37-02 PDFBibTeX XMLCite \textit{V. I. Arnold} (ed.), Arnold's problems. Translated and revised edition of the 2000 Russian original. Berlin: Springer; Moscow: PHASIS (2004; Zbl 1051.00002)
Arnold, V. Arithmetics of binary quadratic forms, symmetry of their continued fractions and geometry of their de Sitter world. (English) Zbl 1044.11016 Bull. Braz. Math. Soc. (N.S.) 34, No. 1, 1-42 (2003). Reviewer: Thomas Schmidt (Corvallis) MSC: 11E16 11A55 20M99 53A35 20F67 PDFBibTeX XMLCite \textit{V. Arnold}, Bull. Braz. Math. Soc. (N.S.) 34, No. 1, 1--42 (2003; Zbl 1044.11016) Full Text: DOI Backlinks: MO
Arnol’d, V. I. I. G. Petrovskiĭ, Hilbert’s topological problems, and modern mathematics. (English. Russian original) Zbl 1056.01006 Russ. Math. Surv. 57, No. 4, 833-845 (2002); translation from Usp. Mat. Nauk 57, No. 4, 197-207 (2002). Reviewer: Roman Murawski (Poznań) MSC: 01A60 PDFBibTeX XMLCite \textit{V. I. Arnol'd}, Russ. Math. Surv. 57, No. 4, 833--845 (2002; Zbl 1056.01006); translation from Usp. Mat. Nauk 57, No. 4, 197--207 (2002)
Arnol’d, V. I. The longest curves of given degree and the quasicrystallic Harnack theorem in pseudoperiodic topology. (English. Russian original) Zbl 1084.58005 Funct. Anal. Appl. 36, No. 3, 165-171 (2002); translation from Funkts. Anal. Prilozh. 36, No. 3, 1-8 (2002). MSC: 58E35 53A15 58K30 PDFBibTeX XMLCite \textit{V. I. Arnol'd}, Funct. Anal. Appl. 36, No. 3, 165--171 (2002; Zbl 1084.58005); translation from Funkts. Anal. Prilozh. 36, No. 3, 1--8 (2002) Full Text: DOI
Arnol’d, V. I. Pseudoquaternion geometry. (English. Russian original) Zbl 1039.53082 Funct. Anal. Appl. 36, No. 1, 1-12 (2002); translation from Funkts. Anal. Prilozh. 36, No. 1, 1-15 (2002). Reviewer: Eric Boeckx (Leuven) MSC: 53C56 53C15 20G20 53C26 PDFBibTeX XMLCite \textit{V. I. Arnol'd}, Funct. Anal. Appl. 36, No. 1, 1--12 (2002; Zbl 1039.53082); translation from Funkts. Anal. Prilozh. 36, No. 1, 1--15 (2002) Full Text: DOI
Arnol’d, V. I. Astroidal geometry of hypercycloids and the Hessian topology of hyperbolic polynomials. (English. Russian original) Zbl 1058.58018 Russ. Math. Surv. 56, No. 6, 1019-1083 (2001); translation from Usp. Mat. Nauk 56, No. 6, 3-66 (2001). MSC: 58K05 58K20 57R17 58E05 53D99 PDFBibTeX XMLCite \textit{V. I. Arnol'd}, Russ. Math. Surv. 56, No. 6, 1019--1083 (2001; Zbl 1058.58018); translation from Usp. Mat. Nauk 56, No. 6, 3--66 (2001)
Arnold, V. I. Complexification of tetrahedron and pseudo-projective transformations. (English. Russian original) Zbl 0999.51001 Funct. Anal. Appl. 35, No. 4, 241-246 (2001); translation from Funkts. Anal. Prilozh. 35, No. 4, 1-7 (2001). Reviewer: Theo Grundhöfer (Würzburg) MSC: 51A30 51H10 51A05 51A45 52B10 PDFBibTeX XMLCite \textit{V. I. Arnold}, Funct. Anal. Appl. 35, No. 4, 241--246 (2001; Zbl 0999.51001); translation from Funkts. Anal. Prilozh. 35, No. 4, 1--7 (2001) Full Text: DOI
Arnold, V. I. (ed.); Novikov, S. P. (ed.); Gamkrelidze, R. V. (ed.) Dynamical systems. IV. Symplectic geometry and its applications. Transl. from the Russian by G. Wassermann. 2nd, expanded and revised ed. (English) Zbl 1048.00010 Encyclopaedia of Mathematical Sciences 4. Berlin: Springer (ISBN 3-540-62635-2/hbk). 335 p. (2001). MSC: 00B15 37-06 37Jxx 53Dxx PDFBibTeX XMLCite \textit{V. I. Arnold} (ed.) et al., Dynamical systems. IV. Symplectic geometry and its applications. Transl. from the Russian by G. Wassermann. 2nd, expanded and revised ed. Berlin: Springer (2001; Zbl 1048.00010)
Arnol’d, V. I. Arnold’s problems. (Zadachi Arnol’da.) (Russian) Zbl 1052.00003 Moscow: FAZIS (ISBN 5-7036-0060-X). x, 452 p. (2000). MSC: 00A07 00A05 00-02 53-02 37-02 58-02 PDFBibTeX XMLCite \textit{V. I. Arnol'd}, Zadachi Arnol'da (Russian). Moscow: FAZIS (2000; Zbl 1052.00003)
Arnold, V. I. Symplectic geometry and topology. (English) Zbl 1021.53053 J. Math. Phys. 41, No. 6, 3307-3343 (2000). Reviewer: Christian Günther (Libby) MSC: 53D05 53D10 57R17 37J05 53D12 58K30 PDFBibTeX XMLCite \textit{V. I. Arnold}, J. Math. Phys. 41, No. 6, 3307--3343 (2000; Zbl 1021.53053) Full Text: DOI
Arnold, V. I. The complex Lagrangian Grassmannian. (English. Russian original) Zbl 0996.53051 Funct. Anal. Appl. 34, No. 3, 208-210 (2000); translation from Funkts. Anal. Prilozh. 34, No. 3, 63-65 (2000). Reviewer: C.Günther (Libby) MSC: 53D12 53C15 57R17 53C56 PDFBibTeX XMLCite \textit{V. I. Arnold}, Funct. Anal. Appl. 34, No. 3, 208--210 (2000; Zbl 0996.53051); translation from Funkts. Anal. Prilozh. 34, No. 3, 63--65 (2000) Full Text: DOI
Arnold, V. I. Polymathematics: is mathematics a single science or a set of arts? (English) Zbl 0980.00004 Arnold, V. (ed.) et al., Mathematics: Frontiers and perspectives. Providence, RI: American Mathematical Society (AMS). 403-416 (2000). Reviewer: Sergei Georgievich Zhuravlev (Moskva) MSC: 00A99 01A99 PDFBibTeX XMLCite \textit{V. I. Arnold}, in: Mathematics: frontiers and perspectives. Providence, RI: American Mathematical Society (AMS). 403--416 (2000; Zbl 0980.00004)
Arnold, V. (ed.); Atiyah, M. (ed.); Lax, P. (ed.); Mazur, B. (ed.) Mathematics: frontiers and perspectives. (English) Zbl 1047.00015 Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-2070-2/hbk). xi, 459 p. (2000). MSC: 00B10 PDFBibTeX XMLCite \textit{V. Arnold} (ed.) et al., Mathematics: frontiers and perspectives. Providence, RI: American Mathematical Society (AMS) (2000; Zbl 1047.00015)
Rokhlin, V. A. Vershik, A. M. (ed.) [Arnol’d, V. I.; Novikov, S. P.; Sinaĭ, Ya. G.] Selected works. Appendix: Reminiscences of V. A. Rokhlin by V. I. Arnol’d, A. M. Vershik, S. P. Novikov and Ya. G. Sinaĭ. With commentaries on Rokhlin’s work by N. Yu. Netsvetaev and Vershik. Edited and with a preface by Vershik. (Избранные работы. Воспоминания о В. А. Рохлине.) (Russian) Zbl 1206.01078 Moscow: Moskovskiĭ Tsentr Nepreryvnogo Matematicheskogo Obrazovaniya (ISBN 5-900916-38-3). 496 p. (1999). Reviewer: Vasily A. Chernecky (MR 2001a:01073) MSC: 01A75 01A70 PDFBibTeX XMLCite \textit{V. A. Rokhlin} and \textit{A. M. Vershik} (ed.), Избранные работы. Воспоминания о В. А. Рохлине (Russian). Moscow: Moskovskiĭ Tsentr Nepreryvnogo Matematicheskogo Obrazovaniya (1999; Zbl 1206.01078)
Arnold, V. I. Topological problems of the theory of asymptotic curves. (English. Russian original) Zbl 1010.37012 Bukhshtaber, V. M. (ed.) et al., Solitons, geometry, and topology: on the crossroads. Collected papers dedicated to the 60th birthday of Academician Sergei Petrovich Novikov. Transl. from the Russian. Moscow: MAIK Nauka/Interperiodica, Proc. Steklov Inst. Math. 225, 5-15 (1999); translation from Tr. Mat. Inst. Steklova 225, 11-20 (1999). MSC: 37C99 58K55 PDFBibTeX XMLCite \textit{V. I. Arnold}, in: Solitons, geometry, and topology: on the crossroads. Collected papers dedicated to the 60th birthday of Academician Sergei Petrovich Novikov. Transl. from the Russian. Moscow: MAIK Nauka/In\-ter\-pe\-ri\-o\-di\-ca. 5--15 (1999; Zbl 1010.37012); translation from Tr. Mat. Inst. Steklova 225, 11--20 (1999)
Arnold, V. I. Relatives of the quotient of the complex projective plane by the complex conjugation. (English. Russian original) Zbl 0963.53023 Proc. Steklov Inst. Math. 224, 46-56 (1999); translation from Tr. Mat. Inst. Steklova. 224, 56-67 (1999). Reviewer: V.Cruceanu (Iaşi) MSC: 53C26 53C30 PDFBibTeX XMLCite \textit{V. I. Arnold}, in: Алгебра. Топология. Дифференциальные уравнения и их приложения. Сборник статей. К 90-летию со дня рождения академика Льва Семеновича Понтрягина. Moskva: Nauka, Maik Nauka/ Interperiodika. 56--67 (1999; Zbl 0963.53023); translation from Tr. Mat. Inst. Steklova. 224, 56--67 (1999)
Arnold, V. I. First steps of local contact algebra. (English) Zbl 1031.53110 Can. J. Math. 51, No. 6, 1123-1134 (1999). Reviewer: Nicolai Konstantinovish Smolentsev (Kemerovo) MSC: 53D10 32S05 58K30 14B05 57R45 53C15 PDFBibTeX XMLCite \textit{V. I. Arnold}, Can. J. Math. 51, No. 6, 1123--1134 (1999; Zbl 1031.53110) Full Text: DOI
Arnold, V. I. Topological problems in wave propagation theory and topological economy principle in algebraic geometry. (English) Zbl 0946.01011 Bierstone, Edward (ed.) et al., The Arnoldfest. Proceedings of a conference in honour of V. I. Arnold for his 60th birthday, Toronto, Canada, June 15-21, 1997. Providence, RI: American Mathematical Society. Fields Inst. Commun. 24, 39-54 (1999). Reviewer: James J.Cross (Parkville) MSC: 01A65 14-03 14H99 34B24 58C25 PDFBibTeX XMLCite \textit{V. I. Arnold}, Fields Inst. Commun. 24, 39--54 (1999; Zbl 0946.01011)
Arnold, V. I. Symplectization, complexification and mathematical trinities. (English) Zbl 0948.01012 Bierstone, Edward (ed.) et al., The Arnoldfest. Proceedings of a conference in honour of V. I. Arnold for his 60th birthday, Toronto, Canada, June 15-21, 1997. Providence, RI: American Mathematical Society. Fields Inst. Commun. 24, 23-37 (1999). Reviewer: James J.Cross (Parkville) MSC: 01A65 20F55 53C15 PDFBibTeX XMLCite \textit{V. I. Arnold}, Fields Inst. Commun. 24, 23--37 (1999; Zbl 0948.01012)
Arnold, V. I. Towards the Legendre Sturm theory of space curves. (English. Russian original) Zbl 0973.53505 Funct. Anal. Appl. 32, No. 2, 75-80 (1998); translation from Funkts. Anal. Prilozh. 32, No. 2, 1-7 (1998). Reviewer: J.S.Joel (MR 99m:58030) MSC: 53A04 58K05 53A20 58E05 PDFBibTeX XMLCite \textit{V. I. Arnold}, Funct. Anal. Appl. 32, No. 2, 75--80 (1998; Zbl 0973.53505); translation from Funkts. Anal. Prilozh. 32, No. 2, 1--7 (1998) Full Text: DOI
Arnold, V. I.; Khesin, B. A. Topological methods in hydrodynamics. (English) Zbl 0902.76001 Applied Mathematical Sciences. 125. New York, NY: Springer. xv, 374 p. (1998). Reviewer: F.Kaplanski (Tallinn) MSC: 76-02 76B47 76W05 58D30 PDFBibTeX XMLCite \textit{V. I. Arnold} and \textit{B. A. Khesin}, Topological methods in hydrodynamics. New York, NY: Springer (1998; Zbl 0902.76001)
Arnold, V. I. (ed.); Greuel, G.-M. (ed.); Steenbrink, J. H. M. (ed.) Singularities. The Brieskorn anniversary volume. Proceedings of the conference dedicated to Egbert Brieskorn on his 60th birthday, Oberwolfach, Germany, July 1996. (English) Zbl 0890.00033 Progress in Mathematics (Boston, Mass.). 162. Basel: Birkhäuser. xxv, 458 p. (1998). MSC: 00B25 14-06 32-06 58-06 14B05 32Sxx 58C25 58K99 PDFBibTeX XMLCite \textit{V. I. Arnold} (ed.) et al., Singularities. The Brieskorn anniversary volume. Proceedings of the conference dedicated to Egbert Brieskorn on his 60th birthday, Oberwolfach, Germany, July 1996. Basel: Birkhäuser (1998; Zbl 0890.00033)
Arnold, V. Topological classification of real trigonometric polynomials and cyclic serpents polyhedron. (English) Zbl 0904.58007 Arnold, V. I. (ed.) et al., The Arnold-Gelfand mathematical seminars: geometry and singularity theory. Boston, MA: Birkhäuser. 101-106 (1997). Reviewer: D.B.Gauld (Auckland) MSC: 58D15 42A05 PDFBibTeX XMLCite \textit{V. Arnold}, in: The Arnold-Gelfand mathematical seminars. Boston, MA: Birkhäuser. 101--106 (1997; Zbl 0904.58007)
Arnold, V. I. (ed.); Gelfand, I. M. (ed.); Retakh, V. S. (ed.); Smirnov, M. (ed.) The Arnold-Gelfand mathematical seminars. (English) Zbl 0857.00029 Boston, MA: Birkhäuser. vi, 437 p. (1997). MSC: 00B25 53-06 57-06 PDFBibTeX XMLCite \textit{V. I. Arnold} (ed.) et al., The Arnold-Gelfand mathematical seminars. Boston, MA: Birkhäuser (1997; Zbl 0857.00029)
Arnol’d, V. I. Selecta-60. (Izbrannoe-60.) (Russian) Zbl 0942.01501 Moskva: Izdatel’stvo FAZIS/PHASIS. xlviii, 770 p. (1997). Reviewer: Serge L.Tabachnikov (MR 99j:01025) MSC: 01A75 00B60 PDFBibTeX XMLCite \textit{V. I. Arnol'd}, Izbrannoe-60 (Russian). Moskva: Izdatel'stvo FAZIS (1997; Zbl 0942.01501)
Arnold, V. I. Remarks on the parabolic curves on surfaces and on the higher-dimensional Möbius-Sturm theory. (English. Russian original) Zbl 0973.53504 Funct. Anal. Appl. 31, No. 4, 227-239 (1997); translation from Funkts. Anal. Prilozh. 31, No. 4, 3-18 (1997). Reviewer: Serge L.Tabachnikov (MR 99h:53013) MSC: 53A04 58K05 53A20 58E05 PDFBibTeX XMLCite \textit{V. I. Arnold}, Funct. Anal. Appl. 31, No. 4, 227--239 (1997; Zbl 0973.53504); translation from Funkts. Anal. Prilozh. 31, No. 4, 3--18 (1997) Full Text: DOI
Arnold, V. I. Remarks on the extactic points of plane curves. (English) Zbl 0990.58026 Gelfand, I. M. (ed.) et al., The Gelfand Mathematical Seminars, 1993-1995. Papers from the seminars, held at Rutgers University, New Brunswick, New Jersey, USA and at IHES, Bures-sur-Yvette, France. Boston, MA: Birkhäuser. The Gelfand Mathematical Seminars. 11-22 (1996). MSC: 58K05 53A04 PDFBibTeX XMLCite \textit{V. I. Arnold}, in: The Gelfand Mathematical Seminars, 1993-1995. Papers from the seminars, held at Rutgers University, New Brunswick, New Jersey, USA and at IHES, Bures-sur-Yvette, France. Boston, MA: Birkhäuser. 11--22 (1996; Zbl 0990.58026)
Arnold, V. On the number of flattening points on space curves. (English) Zbl 0973.53502 Bunimovich, L. A. (ed.) et al., Sinai’s Moscow seminar on dynamical systems. Providence, RI: American Mathematical Society. Transl., Ser. 2, Am. Math. Soc. 171, 11-22 (1996). MSC: 53A04 57R17 53D99 PDFBibTeX XMLCite \textit{V. Arnold}, Transl., Ser. 2, Am. Math. Soc. 171, 11--22 (1996; Zbl 0973.53502)
Arnol’d, V. I. Singularities of caustics and wave fronts. (Osobennosti kaustik i volnovykh frontov.) (Russian) Zbl 0929.53001 Biblioteka Matematika. 1. Moskva: Fazis. x+334 p. (1996). MSC: 53-02 58-02 58Kxx 53D05 53D10 53D12 57R45 PDFBibTeX XMLCite \textit{V. I. Arnol'd}, Osobennosti kaustik i volnovykh frontov (Russian). Moskva: Fazis (1996; Zbl 0929.53001)
Arnold, V. I. Topological classification of trigonometric polynomials and combinatorics of graphs with an equal number of vertices and edges. (English. Russian original) Zbl 0898.32019 Funct. Anal. Appl. 30, No. 1, 1-14 (1996); translation from Funkts. Anal. Prilozh. 30, No. 1, 1-17 (1996). Reviewer: J.Širáň (Bratislava) MSC: 32S50 05C30 14E20 20F36 PDFBibTeX XMLCite \textit{V. I. Arnold}, Funct. Anal. Appl. 30, No. 1, 1--14 (1996; Zbl 0898.32019); translation from Funkts. Anal. Prilozh. 30, No. 1, 1--17 (1996) Full Text: DOI
Arnol’d, V. I. The geometry of spherical curves and the algebra of quaternions. (English. Russian original) Zbl 0848.58005 Russ. Math. Surv. 50, No. 1, 1-68 (1995); translation from Usp. Mat. Nauk 50, No. 1, 3-68 (1995). Reviewer: E.Outerelo (Madrid) MSC: 58C25 58K99 57M25 53C15 53A04 PDFBibTeX XMLCite \textit{V. I. Arnol'd}, Russ. Math. Surv. 50, No. 1, 1--68 (1995; Zbl 0848.58005); translation from Usp. Mat. Nauk 50, No. 1, 3--68 (1995) Full Text: DOI
Arnold, V. I. On the topological properties of Lagrangian projections in symplectic geometry of caustics. (Sur les propriétés topologiques des projections lagrangiennes en géométrie symplectique des caustiques.) (French) Zbl 0973.53501 Rev. Mat. Univ. Complutense Madr. 8, No. 1, 109-119 (1995). Reviewer: Shyuichi Izumiya (MR 96g:58020) MSC: 53A04 57M25 58K05 58E05 53D05 PDFBibTeX XMLCite \textit{V. I. Arnold}, Rev. Mat. Univ. Complutense Madr. 8, No. 1, 109--119 (1995; Zbl 0973.53501) Full Text: EuDML
Arnold, V. I. Some remarks on symplectic monodromy of Milnor fibrations. (English) Zbl 0970.53043 Hofer, Helmut (ed.) et al., The Floer memorial volume. Basel: Birkhäuser. Prog. Math. 133, 99-103 (1995). MSC: 53D40 14J17 57M25 32S25 PDFBibTeX XMLCite \textit{V. I. Arnold}, Prog. Math. 133, 99--103 (1995; Zbl 0970.53043)
Arnol’d, V. I. Invariants and perestroikas of plane fronts. (English. Russian original) Zbl 0881.57029 Proc. Steklov Inst. Math. 209, 11-56 (1995); translation from Tr. Mat. Inst. Steklova 209, 14-64 (1995). Reviewer: St.Janeczko (Warszawa) MSC: 57R45 PDFBibTeX XMLCite \textit{V. I. Arnol'd}, in: Singularities of smooth mappings with additional structures. Collected papers. Moscow: Maik Nauka/Interperiodica Publishing. 1 (1995; Zbl 0881.57029); translation from Tr. Mat. Inst. Steklova 209, 14--64 (1995)
Arnol’d, V. I. On topological properties of Legendre projections in contact geometry of wave fronts. (English. Russian original) Zbl 0839.58023 St. Petersbg. Math. J. 6, No. 3, 439-452 (1995); translation from Algebra Anal. 6, No. 3, 1-16 (1994). MSC: 37J99 70G10 PDFBibTeX XMLCite \textit{V. I. Arnol'd}, St. Petersbg. Math. J. 6, No. 3, 1--16 (1994; Zbl 0839.58023); translation from Algebra Anal. 6, No. 3, 1--16 (1994)
Arnol’d, Vladimir Igorevich Topological invariants of plane curves and caustics. (English) Zbl 0858.57001 University Lecture Series. 5. Providence, RI: American Mathematical Society (AMS). vii, 60 p. (1994). Reviewer: Bernd Wegner (Berlin) MSC: 57-02 53C15 57R45 37J99 57M25 53A04 PDFBibTeX XMLCite \textit{V. I. Arnol'd}, Topological invariants of plane curves and caustics. Providence, RI: American Mathematical Society (1994; Zbl 0858.57001)
Arnold, V. I. Mathematical problems in classical physics. (English) Zbl 0806.53078 Sirovich, Lawrence (ed.), Trends and perspectives in applied mathematics. New York: Springer-Verlag. Appl. Math. Sci. 100, 1-20 (1994). Reviewer: L.M.Sokołowski (Kraków) MSC: 53Z05 83-00 76-00 PDFBibTeX XMLCite \textit{V. I. Arnold}, Appl. Math. Sci. 100, 1--20 (1994; Zbl 0806.53078)
Arnol’d, V. I. On topological properties of Legendre projections in contact geometry of wave fronts. (Russian) Zbl 0827.58018 Algebra Anal. 6, No. 3, 1-16 (1994). Reviewer: A.Klíč (Praha) MSC: 37J99 70G10 PDFBibTeX XMLCite \textit{V. I. Arnol'd}, Algebra Anal. 6, No. 3, 1--16 (1994; Zbl 0827.58018)
Arnold, V. (ed.); Monastyrsky, M. (ed.) Developments in mathematics: the Moscow school. (English) Zbl 0844.00010 London: Chapman & Hall. xii, 285 p. (1993). MSC: 00B15 PDFBibTeX XMLCite \textit{V. Arnold} (ed.) and \textit{M. Monastyrsky} (ed.), Developments in mathematics: the Moscow school. London: Chapman \& Hall (1993; Zbl 0844.00010)
Arnold, V. I.; Khesin, B. A. Topological methods in hydrodynamics. (English) Zbl 0743.76019 Lumley, John L. (ed.) et al., Annual review of fluid mechanics. Vol. 24. Palo Alto, CA: Annual Reviews Inc. (ISBN 0-8243-0724-0/hbk). Annu. Rev. Fluid Mech. 24, 145-166 (1992). MSC: 76B99 76-02 57S05 PDFBibTeX XMLCite \textit{V. I. Arnold} and \textit{B. A. Khesin}, Annu. Rev. Fluid Mech. 24, 145--166 (1992; Zbl 0743.76019)
Arnol’d, V. I. Springer numbers and morsification spaces. (English) Zbl 0776.32033 J. Algebr. Geom. 1, No. 2, 197-214 (1992). Reviewer: D.Nguyen Huu (Dalat) MSC: 32S99 05A10 20F55 PDFBibTeX XMLCite \textit{V. I. Arnol'd}, J. Algebr. Geom. 1, No. 2, 197--214 (1992; Zbl 0776.32033)
Arnol’d, V. I. (ed.) Theory of singularities and its applications. Transl. from the Russian. (English) Zbl 0719.00022 Advances in Soviet Mathematics, 1. Providence, RI: American Mathematical Society (AMS). ix, 333 p. $ 125.00 (1990). MSC: 00B15 53-06 55-06 57-06 58-06 32-06 34-06 PDFBibTeX XML
Arnol’d, V. I. Singularities of caustics and wave fronts. Transl. from the Russian. (English) Zbl 0734.53001 Mathematics and Its Applications (Soviet Series), 62. Dordrecht etc.: Kluwer Academic Publishers. xiii, 259 p. Dfl. 160.00; $ 99.00; £56.00 (1990). Reviewer: C.Günther (Libby) MSC: 53-02 58-02 53C15 58C25 58K99 PDFBibTeX XMLCite \textit{V. I. Arnol'd}, Singularities of caustics and wave fronts. Transl. from the Russian. Dordrecht etc.: Kluwer Academic Publishers (1990; Zbl 0734.53001)
Arnol’d, V. I. (ed.); Novikov, S. P. (ed.); Gamkrelidze, R. V. (ed.) Dynamical systems. IV. Symplectic geometry and its applications. Transl. from the Russian by G. Wassermann. (English) Zbl 0778.00008 Encyclopaedia of Mathematical Sciences. 4. Berlin etc.: Springer-Verlag. 283 p. (1990). MSC: 00B15 58-06 PDFBibTeX XMLCite \textit{V. I. Arnol'd} (ed.) et al., Dynamical systems. IV. Symplectic geometry and its applications. Transl. from the Russian by G. Wassermann. Berlin etc.: Springer-Verlag (1990; Zbl 0778.00008)
Arnold, V. I. Contact geometry and wave propagation. (English) Zbl 0715.53002 Enseign. Math., II. Sér. 36, No. 3-4, 215-266 (1990). MSC: 53-02 53C15 58H05 78A05 35L99 70G45 PDFBibTeX XMLCite \textit{V. I. Arnold}, Enseign. Math. (2) 36, No. 3--4, 215--266 (1990; Zbl 0715.53002)
Arnold, V. I. Contact geometry: The geometrical method of Gibb’s thermodynamics. (English) Zbl 0737.53029 Proc. Symp. Occas. J. W. Gibbs 150th Anniv., New Haven/CT (USA) 1989, 163-179 (1990). Reviewer: C.Bär (Bonn) MSC: 53C15 58A99 37J99 PDFBibTeX XMLCite \textit{V. I. Arnold}, in: Proc. Symp. Occas. J. W. Gibbs 150th Anniv., New Haven/CT (USA) 1989, . 163--179 (1990; Zbl 0737.53029)
Arnold, V. I.; Avez, A. Ergodic problems of classical mechanics. Transl. from the French. Reprint. (English) Zbl 0715.70004 Advanced Book Classics. Redwood City, CA etc.: Addison-Wesley Publishing Company, Inc. xvii, 286 p. (1989). MSC: 70-02 37-02 37Axx 37N05 PDFBibTeX XMLCite \textit{V. I. Arnold} and \textit{A. Avez}, Ergodic problems of classical mechanics. Transl. from the French. Reprint. Redwood City, CA etc.: Addison-Wesley Publishing Company, Inc. (1989; Zbl 0715.70004)
Arnold, V. I. Contact geometry and wave propagation. Lectures given at the University of Oxford in November and December 1988 under the sponsorship of the International Mathematical Union. (English) Zbl 0694.53001 Monographie de L’Enseignement Mathématique, 34: Série des Conférences de l’Union Mathématique Internationale, 9. Genève: Univ. de Genève, L’Enseignement Mathématique. 56 p. sFr. 27.00 (1989). Reviewer: E.A.Lacomba MSC: 53-02 53C15 78A05 35L99 70G45 58H05 PDFBibTeX XMLCite \textit{V. I. Arnold}, Contact geometry and wave propagation. Lectures given at the University of Oxford in November and December 1988 under the sponsorship of the International Mathematical Union. Genève: Univ. de Genève, L'Enseignement Mathématique (1989; Zbl 0694.53001)
Klein, Felix Tyurin, A. N. (ed.) [Arnol’d, V. I.; Serre, Jean-Pierre] Lectures on the icosahedron and the solution of equations of order 5. Transl. from the German by A. L. Gorodentsev and A. A. Kirillov. Transl. ed. by A. N. Tyurin. With apendixes by V. I. Arnol’d, J.-P. Serre and A. N. Tyurin. (Лекции об икосаэдре и решении уравнений пятой степени.) (Russian) Zbl 0691.51001 Moskva: Nauka. 336 p. R. 1.90 (1989). MSC: 51-01 12-01 51M20 51N25 52Bxx 12E12 PDFBibTeX XMLCite \textit{F. Klein} and \textit{A. N. Tyurin} (ed.), Лекции об икосаэдре и решении уравнений пятой степени (Russian). Transl. from the German by A. L. Gorodentsev and A. A. Kirillov. Transl. ed. by A. N. Tyurin. With apendixes by V. I. Arnol'd, J.-P. Serre and A. N. Tyurin. Moskva: Nauka (1989; Zbl 0691.51001)
Bruce, James William; Giblin, Peter J. Arnol’d, V. I. (ed.) Curves and singularities. A geometrical introduction to singularity theory. (Krivye i osobennosti. Geometricheskoe vvedenie v teoriyu osobennostej). Transl. from the English by I. G. Shcherbak. Transl. ed. and with a preface by V. I. Arnol’d. (Krivye i osobennosti. Geometricheskoe vvedenie v teoriyu osobennostej.) (Russian) Zbl 0664.58001 Sovremennaya Matematika: Vvodnye Kursy. Moskva: Mir. 264 p. R. 1.20 (1988). MSC: 58C25 58K99 53A04 58-02 53-02 58K35 PDFBibTeX XMLCite \textit{J. W. Bruce} et al., Krivye i osobennosti. Geometricheskoe vvedenie v teoriyu osobennostej (Russian). Transl. from the English by I. G. Shcherbak. Transl. ed. and with a preface by V. I. Arnol'd. Moskva: Mir (1988; Zbl 0664.58001)
Arnol’d, V. I. A branched covering of \(CP^ 2\to S^ 4\), hyperbolicity and projectivity topology. (English. Russian original) Zbl 0721.57003 Sib. Math. J. 29, No. 5, 717-726 (1988); translation from Sib. Mat. Zh. 29, No. 5(171), 36-47 (1988). MSC: 57M12 14A25 PDFBibTeX XMLCite \textit{V. I. Arnol'd}, Sib. Math. J. 29, No. 5, 717--726 (1988; Zbl 0721.57003); translation from Sib. Mat. Zh. 29, No. 5(171), 36--47 (1988) Full Text: DOI
Arnol’d, V. I. On the interior scattering of waves, defined by hyperbolic variational principles. (English) Zbl 0699.35199 J. Geom. Phys. 5, No. 3, 305-315 (1988). Reviewer: J.Schmeelk MSC: 35P25 49R50 58E30 53C15 35A15 35L99 PDFBibTeX XMLCite \textit{V. I. Arnol'd}, J. Geom. Phys. 5, No. 3, 305--315 (1988; Zbl 0699.35199) Full Text: DOI
Arnol’d, V. I. Remarks on quasicrystallic symmetries. (English) Zbl 0684.52008 Physica D 33, No. 1-3, 21-25 (1988). Reviewer: J.Böhm MSC: 52C17 82D25 PDFBibTeX XMLCite \textit{V. I. Arnol'd}, Physica D 33, No. 1--3, 21--25 (1988; Zbl 0684.52008) Full Text: DOI
Arnol’d, V. I. The ramified covering \(\mathbb CP^ 2\to S^ 4\), hyperbolicity and projective topology. (Russian) Zbl 0668.57003 Sib. Mat. Zh. 29, No. 5(171), 36-47 (1988). Reviewer: P.Walczak MSC: 57M12 11E16 14A25 PDFBibTeX XMLCite \textit{V. I. Arnol'd}, Sib. Mat. Zh. 29, No. 5(171), 36--47 (1988; Zbl 0668.57003) Full Text: EuDML
Arnol’d, V. I. Surfaces defined by hyperbolic equations. (English. Russian original) Zbl 0667.58048 Math. Notes 44, No. 1-2, 489-497 (1988); translation from Mat. Zametki 44, No. 1, 3-18 (1988). MSC: 37G99 58J45 58A99 37D99 PDFBibTeX XMLCite \textit{V. I. Arnol'd}, Math. Notes 44, No. 1--2, 489--497 (1988; Zbl 0667.58048); translation from Mat. Zametki 44, No. 1, 3--18 (1988) Full Text: DOI
Arnol’d, V. I. On surfaces defined by hyperbolic equations. (Russian) Zbl 0657.58024 Mat. Zametki 44, No. 1, 3-18 (1988). Reviewer: J.Szilasi MSC: 37G99 58J45 58A99 37D99 PDFBibTeX XMLCite \textit{V. I. Arnol'd}, Mat. Zametki 44, No. 1, 3--18 (1988; Zbl 0657.58024)
Arnold, V. I. On some problems in symplectic topology. (English) Zbl 0655.58002 Topology and geometry, Rohlin Semin. 1984-1986, Lect. Notes Math. 1346, 1-5 (1988). Reviewer: J.Danesova MSC: 58E05 37J99 PDFBibTeX XML
Arnol’d, V. I.; Gusejn-Zade, S. M.; Varchenko, A. N. [Porteous, Hugh] Singularities of differentiable maps. Volume II: Monodromy and asymptotics of integrals. Transl. from the Russian by Hugh Porteous. (English) Zbl 0659.58002 Monographs in Mathematics, 83. Boston, MA etc.: Birkhäuser Verlag. viii, 492 p. DM 238.00 (1988). Reviewer: A.Dimca MSC: 58-02 58C25 58K99 58C35 58A10 32Sxx 32A99 PDFBibTeX XMLCite \textit{V. I. Arnol'd} et al., Singularities of differentiable maps. Volume II: Monodromy and asymptotics of integrals. Transl. from the Russian by Hugh Porteous. Boston, MA etc.: Birkhäuser Verlag (1988; Zbl 0659.58002) Backlinks: MO
Arnol’d, V. I. Levi, Mark (ed.) Geometrical methods in the theory of ordinary differntial equations. Transl. from the Russian by Joseph Szücs. Engl. Transl. ed. by Mark Levi. 2nd ed. (English) Zbl 0648.34002 Grundlehren der Mathematischen Wissenschaften, 250. New York etc.: Springer-Verlag. xii, 351 p. DM 128.00 (1988). Reviewer: M.A.Texeira MSC: 34-02 58-02 34D30 37C25 34C29 PDFBibTeX XMLCite \textit{V. I. Arnol'd} and \textit{M. Levi} (ed.), Geometrical methods in the theory of ordinary differntial equations. Transl. from the Russian by Joseph Szücs. Engl. Transl. ed. by Mark Levi. 2nd ed. New York etc.: Springer-Verlag (1988; Zbl 0648.34002)
Arnol’d, V. I. Convex hulls and the increase of the efficiency of systems under pulsating loading. (English) Zbl 0637.52008 Sib. Math. J. 28, No. 4, 540-542 (1987). MSC: 52A35 52A40 93C10 49J99 PDFBibTeX XMLCite \textit{V. I. Arnol'd}, Sib. Math. J. 28, No. 4, 540--542 (1987; Zbl 0637.52008) Full Text: DOI EuDML
Arnol’d, V. I. Convex hulls and the increase of the efficiency of systems under pulsating loading. (Russian) Zbl 0623.52005 Sib. Mat. Zh. 28, No. 4(164), 29-31 (1987). Reviewer: M.Lassak MSC: 52A35 52A40 93C10 49J99 PDFBibTeX XMLCite \textit{V. I. Arnol'd}, Sib. Mat. Zh. 28, No. 4(164), 29--31 (1987; Zbl 0623.52005) Full Text: EuDML
Arnol’d, V. I. First steps in symplectic topology. (English) Zbl 0649.58010 Russ. Math. Surv. 41, No. 6, 1-21 (1986). MSC: 57R17 57R50 53Dxx 37J05 37J10 PDFBibTeX XMLCite \textit{V. I. Arnol'd}, Russ. Math. Surv. 41, No. 6, 1--21 (1986; Zbl 0649.58010) Full Text: DOI
Arnol’d, V. I. First steps of symplectic topology. (Russian) Zbl 0618.58021 Usp. Mat. Nauk 41, No. 6(252), 3-18 (1986). Reviewer: A. Givental’ MSC: 57R17 57R50 53Dxx 37J05 37J10 PDFBibTeX XMLCite \textit{V. I. Arnol'd}, Usp. Mat. Nauk 41, No. 6(252), 3--18 (1986; Zbl 0618.58021)
Arnol’d, V. I.; Givental’, A. B. Symplectic geometry. (English. Russian original) Zbl 0780.58016 Dynamical systems. IV. Symplectic geometry and its applications, Encycl. Math. Sci. 4, 1-136 (1990); translation from Itogi Nauki Tekh., Ser. Sovrem. Probl. Mat., Fundam. Napravleniya 4, 7-139 (1985). MSC: 37J99 57R90 70Hxx 37J35 37K10 PDFBibTeX XMLCite \textit{V. I. Arnol'd} and \textit{A. B. Givental'}, Encycl. Math. Sci. 4, 1 (1985; Zbl 0780.58016); translation from Itogi Nauki Tekh., Ser. Sovrem. Probl. Mat., Fundam. Napravleniya 4, 7--139 (1985)
Arnol’d, V. I. The Sturm theorems and symplectic geometry. (English. Russian original) Zbl 0606.58017 Funct. Anal. Appl. 19, 251-259 (1985); translation from Funkts. Anal. Prilozh. 19, No. 4, 1-10 (1985). Reviewer: R.Devaney MSC: 37J99 34C10 PDFBibTeX XMLCite \textit{V. I. Arnol'd}, Funct. Anal. Appl. 19, 251--259 (1985; Zbl 0606.58017); translation from Funkts. Anal. Prilozh. 19, No. 4, 1--10 (1985) Full Text: DOI
Arnol’d, V. I.; Givental’, A. B. Dynamical systems. IV: Symplectic geometry. (Russian) Zbl 0592.58030 Itogi Nauki Tekh., Ser. Sovrem. Probl. Mat., Fundam. Napravleniya 4, 7-139 (1985). Reviewer: N.Jacob MSC: 37J99 57R90 70Hxx 37J35 37K10 PDFBibTeX XML
Arnol’d, V. I. Some remarks on elliptic coordinates. (English) Zbl 0579.53058 J. Sov. Math. 31, 3280-3289 (1985). MSC: 53C80 53C22 70H20 PDFBibTeX XMLCite \textit{V. I. Arnol'd}, J. Sov. Math. 31, 3280--3289 (1985; Zbl 0579.53058) Full Text: DOI
Arnol’d, V. I.; Gusejn-Zade, S. M.; Varchenko, A. N. Singularities of differentiable maps. Volume I: The classification of critical points, caustics and wave fronts. Transl. from the Russian by Ian Porteous, ed. by V. I. Arnol’d. (English) Zbl 0554.58001 Monographs in Mathematics, Vol. 82. Boston-Basel-Stuttgart: Birkhäuser. X, 382 p. DM 118.00 (1985). Reviewer: M.Craioveanu MSC: 58-02 57R45 58C25 58K99 37J99 37G99 PDFBibTeX XML
Gamkrelidze, R. V. (ed.); Arnol’d, V. I. (ed.); Novikov, S. P. (ed.) Dynamical systems - 4. (Dinamicheskie sistemy - 4.) (Russian) Zbl 0678.00022 Itogi Nauki i Tekhniki. Seriya: Sovremennye Problemy Matematiki. Fundamental’nye Napravleniya, 4. Moskva: Vsesoyuznyj Institut Nauchnoj i Tekhnicheskoj Informatsii. 292 p. R. 2.60 (1985). MSC: 00Bxx 58-06 53-06 PDFBibTeX XMLCite \textit{R. V. Gamkrelidze} (ed.) et al., Dinamicheskie sistemy - 4 (Russian). Moskva: Vsesoyuznyj Institut Nauchnoj i Tekhnicheskoj Informatsii (1985; Zbl 0678.00022)
Weyl, Hermann Arnol’d, V. I. (ed.) [Parshin, A. N.] Selected works. Mathematics. Theoretical physics. Ed. by V. I. Arnol’d. (Избранные труды. Математика. Теоретическая физика.) (Russian) Zbl 0569.01035 Klassiki Nauki. Moskva: Izdatel’stvo “Nauka”. 512 p. R. 3.10 (1984). Reviewer: M. Tarina MSC: 01A75 00B55 PDFBibTeX XML
Arnol’d, V. I. Singularities of ray systems. (English) Zbl 0566.58004 Proc. Int. Congr. Math., Warszawa 1983, Vol. 1, 27-49 (1984). Reviewer: H.Crauel MSC: 58C25 58K99 58K35 37J99 PDFBibTeX XML
Arnol’d, V. I. Vanishing inflections. (English. Russian original) Zbl 0565.32009 Funct. Anal. Appl. 18, 128-130 (1984); translation from Funkts. Anal. Prilozh. 18, No. 2, 51-52 (1984). Reviewer: C.Bănică MSC: 32S05 14B05 32J25 PDFBibTeX XMLCite \textit{V. I. Arnol'd}, Funct. Anal. Appl. 18, 128--130 (1984; Zbl 0565.32009); translation from Funkts. Anal. Prilozh. 18, No. 2, 51--52 (1984) Full Text: DOI
Arnol’d, V. I. Singularities in variational calculus. (English) Zbl 0554.58010 J. Sov. Math. 27, 2679-2713 (1984). MSC: 58C25 58K99 58E15 PDFBibTeX XMLCite \textit{V. I. Arnol'd}, J. Sov. Math. 27, 2679--2713 (1984; Zbl 0554.58010) Full Text: DOI
Arnol’d, V. I. Some remarks concerning elliptic coordinates. (Russian. English summary) Zbl 0539.53049 Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 133, 38-50 (1984). Reviewer: A.Szybiak MSC: 53C80 53C22 70H20 PDFBibTeX XMLCite \textit{V. I. Arnol'd}, Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 133, 38--50 (1984; Zbl 0539.53049) Full Text: EuDML
Arnol’d, V. I. Some algebro-geometrical aspects of the Newton attraction theory. (English) Zbl 0569.58018 Arithmetic and geometry, Pap. dedic. I. R. Shafarevich, Vol. II: Geometry, Prog. Math. 36, 1-3 (1983). Reviewer: A.B.Givental’ MSC: 37J99 85A05 70F99 53C80 PDFBibTeX XML
Arnol’d, V. I. Singularities of systems of rays. (English) Zbl 0531.58009 Russ. Math. Surv. 38, No. 2, 87-176 (1983). MSC: 58C25 58K99 53C80 57R45 57S25 37J99 PDFBibTeX XMLCite \textit{V. I. Arnol'd}, Russ. Math. Surv. 38, No. 2, 87--176 (1983; Zbl 0531.58009) Full Text: DOI