• Scott, Alwyn (Editor)
  Encyclopedia of Nonlinear Science. Routledge, New-York, 2004. xvi+850 pp. ISBN 1-579-58385-7
• Etingof, Pavel; Latour, Frederic
  The dynamical Yang-Baxter equation, representation theory, and quantum integrable systems. Oxford Lecture Series in Mathematics and Its Applications. Oxford University Press, Oxford, 2004. xvi+200 pp. ISBN 0-19-853068-4
• Wolf, Kurt Bernardo
  Geometric optics on phase space. Texts and Monographs in Physics. Springer-Verlag, Berlin, 2004. xvi+373 pp. ISBN 3-540-22039-9
• Frenkel, Edward; Ben-Zvi, David
  Vertex algebras and algebraic curves. Second edition. Mathematical Surveys and Monographs, 88. American Mathematical Society, Providence, RI, 2004. xiv+400 pp. ISBN: 0-8218-3674-9 (free e-print)
• Sutherland, Bill
  Beautiful models. 70 years of exactly solved quantum many-body problems. World Scientific Publishing Co., Inc., River Edge, NJ, 2004. xvi+381 pp. ISBN 981-238-859-1; 981-238-897-4
• Varadarajan, V. S.
  Supersymmetry for mathematicians: an introduction. Courant Lecture Notes in Mathematics, 11. New York University, Courant Institute of Mathematical Sciences, New York; American Mathematical Society, Providence, RI, 2004. viii+300 pp. ISBN: 0-8218-3574-2
• Manton, Nicholas; Sutcliffe, Paul
  Topological solitons. Cambridge Monographs on Mathematical Physics. Cambridge University Press, Cambridge, 2004. xii+493 pp. ISBN: 0-521-83836-3
• Kirillov, A. A.
  Lectures on the orbit method. Graduate Studies in Mathematics, 64. American Mathematical Society, Providence, RI, 2004. xx+408 pp. ISBN 0-8218-3530-0 (free e-print)
• Beilinson, Alexander; Drinfeld, Vladimir
  Chiral algebras. American Mathematical Society Colloquium Publications, 51. American Mathematical Society, Providence, RI, 2004. vi+375 pp. ISBN: 0-8218-3528-9
• Noumi, Masatoshi
  Painleve equations through symmetry. Translated from the 2000 Japanese original by the author. Translations of Mathematical Monographs, 223. American Mathematical Society, Providence, RI, 2004. x+156 pp. ISBN: 0-8218-3221-2
• Onishchik, Arkady L.
  Lectures on real semisimple Lie algebras and their representations. ESI Lectures in Mathematics and Physics. European Mathematical Society (EMS), Zurich, 2004. x+86 pp. ISBN: 3-03719-002-7
• Ablowitz, M. J.; Prinari, B.; Trubatch, A. D.
  Discrete and continuous nonlinear Schrodinger systems. London Mathematical Society Lecture Note Series, 302. Cambridge University Press, Cambridge, 2004. x+257 pp. ISBN 0-521-53437-2 (free e-print)
• Ortega, Juan-Pablo; Ratiu, Tudor S.
  Momentum maps and Hamiltonian reduction. Progress in Mathematics, 222. Birkhauser Boston, Inc., Boston, MA, 2004. xxxiv+497 pp. ISBN: 0-8176-4307-9
• Chowdhury, A. Roy; Choudhury A. Ghose
  Quantum integrable systems. Research Notes in Mathematics Series, 435. Chapman & Hall/CRC, Boca Raton, FL, 2004. 416 pp. ISBN: 1-58488-380-4
• Bolsinov, A. V.; Fomenko, A. T.
  Integrable Hamiltonian systems: geometry, topology, classification. Chapman & Hall/CRC, Boca Raton, FL, 2004. 744 pp. ISBN: 0-415-29805-9 (see also the russian version)
• Tyurin, Andrei
  Quantization, classical and quantum field theory and theta functions. With a foreword by Alexei Kokotov. CRM Monograph Series, 21. American Mathematical Society, Providence, RI, 2003. xii+136 pp. ISBN: 0-8218-3240-9
• Ivey, Thomas A.; Landsberg, J. M.
  Cartan for beginners: differential geometry via moving frames and exterior differential systems. Graduate Studies in Mathematics, 61. American Mathematical Society, Providence, RI, 2003. xiv+378 pp. ISBN: 0-8218-3375-8
• Godunov, Sergei K.; Romenskii, Evgenii I.
  Elements of continuum mechanics and conservation laws. Translated from the 1998 Russian edition by Tamara Rozhkovskaya. Kluwer Academic/Plenum Publishers, New York, 2003. viii+258 pp. ISBN: 0-306-47735-1
• Abou-Kandil, Hisham; Freiling, Gerhard; Ionescu, Vlad; Jank, Gerhard
  Matrix Riccati equations. In control and systems theory. Systems & Control: Foundations & Applications. Birkhauser Verlag, Basel, 2003. xx+572 pp. ISBN 3-7643-0085-X
• Scott, Alwyn
  Nonlinear Science - Emergence and Dynamics of Coherent Structures. Second Edition, Oxford Texts in Applied and Engineering Mathematics, Oxford University Press, Oxford, 2003. xvi+504 pp. ISBN 0-19-852852-3
• Pfeifer, Walter
  The Lie algebras ${{\rm su}(N)}$. An introduction. Birkhauser Verlag, Basel, 2003. viii+116 pp. ISBN 3-7643-2418-X
• Hall, Brian C.
  Lie groups, Lie algebras, and representations. An elementary introduction. Graduate Texts in Mathematics, 222. Springer-Verlag, New York, 2003. xiv+351 pp. ISBN 0-387-40122-9 (free e-print)
• Golubitsky, Martin; Stewart, Ian
  The symmetry perspective: from equilibrium to chaos in phase space and physical space. Progress in Mathematics, 200. Birkhauser Boston, Inc., Boston, MA, 2003. 325 pp. ISBN: 3-7643-2171-7
• Fedorov, Y. N.; Kozlov V. V.
  A Memoir on Integrable Systems. Springer-Verlag, New York, 2003. 280 pp. ISBN: 3-540-59000-5
• van der Put, Marius; Singer, Michael F.
  Galois Theory of Linear Differential Equations. Springer-Verlag, New York, 2003. 478 pp. ISBN: 3-540-44228-6 (free e-book)
• Vozmischeva, T. G.
  Integrable Problems of Celestial Mechanics in Spaces of Constant Curvature. Kluwer Academic Publishers, Dordrecht, 2003. 196 pp. ISBN: 1-4020-1521-6
• Moser, Jurgen
  Selected chapters in the calculus of variations. (Lecture Notes by Oliver Knill, ETH, Zurich, 1988), Birkhauser Verlag, Basel, 2003, 140 pages. ISBN 3-7643-2185-7 (free e-book, german and english)
• Fuchs, Jurgen; Schweigert, Christoph
  Symmetries, Lie Algebras and Representations. A Graduate Course for Physicists. Cambridge University Press, Cambridge, 2003. xii+460 pp. ISBN: 0-521-54119-0
• Duplij, Steven; Siegel, Warren; Bagger, Jonathan (Editors)
  Concise encyclopedia of supersymmetry and noncommutative structures in mathematics and physics. Kluwer Academic Publishers, Dordrecht, 2003. xvi+650 pp. ISBN: 1-4020-1338-8
• Audin, Michele; Cannas da Silva, Ana; Lerman, Eugene
  Symplectic geometry of integrable hamiltonian systems. Advanced Courses in Mathematics - CRM Barcelona. Birkhauser Boston, Inc., Boston, MA, 2003. xiv+236 pp. ISBN: 3-7643-2167-9
• Polyanin, Andrei D.; Zaitsev, Valentin F.
  Handbook of nonlinear partial differential equations. Chapman & Hall/CRC, Boca Raton, FL, 2003. xxvi+840 pp. ISBN: 1-58488-355-3 (see also e-book and the russian version)
• Polyanin, Andrei D.; Zaitsev, Valentin F.
  Handbook of exact solutions for ordinary differential equations. Second edition. Chapman & Hall/CRC, Boca Raton, FL, 2003. xxvi+787 pp. ISBN: 1-58488-297-2 (see also e-book and russian version of the book)
• Kamvissis, Spyridon; McLaughlin, Kenneth D. T.-R.; Miller, Peter D.
  Semiclassical soliton ensembles for the focusing nonlinear Schrodinger equation. Annals of Mathematics Studies, 154. Princeton University Press, Princeton, NJ, 2003. xii+265 pp. ISBN: 0-691-11483-8; 0-691-11482-X
• Babelon, Olivier; Bernard, Denis; Talon, Michel
  Introduction to classical integrable systems. Cambridge Monographs on Mathematical Physics. Cambridge University Press, Cambridge, 2003. xii+602 pp. ISBN: 0-521-82267-X
• Stephani, Hans; Kramer, Dietrich; MacCallum, Malcolm; Hoenselaers, Cornelius; Herlt, Eduard
  Exact Solutions of Einstein's Field Equations. Cambridge Monographs on Mathematical Physics. Cambridge University Press, Cambridge, 2003. 732 pp. ISBN: 0-521-46136-7
• Bryant, Robert; Griffiths, Phillip; Grossman, Daniel.
  Exterior differential systems and Euler-Lagrange partial differential equations. Chicago Lectures in Mathematics. University of Chicago Press, Chicago, IL, 2003. viii+213 pp. ISBN: 0-226-07794-2 (see also math.DG/0207039)
• Suris, Yuri B.
  The problem of integrable discretization: Hamiltonian approach. Progress in Mathematics, 219. Birkhauser Verlag, Basel, 2003. xxii+1070 pp. ISBN: 3-7643-6995-7
• Gesztesy, Fritz; Holden, Helge
  Soliton equations and their algebro-geometric solutions. Vol. I. (1+1)-dimensional continuous models. Cambridge Studies in Advanced Mathematics, 79. Cambridge University Press, Cambridge, 2003. xii+505 pp. ISBN: 0-521-75307-4
• Lakshmanan, M.; Rajasekar, S.
  Nonlinear dynamics. Integrability, chaos and patterns. Advanced Texts in Physics. Springer-Verlag, Berlin, 2003. xx+619 pp. ISBN: 3-540-43908-0
• Klimov, D. M.; Zhuravlev, V. Ph.
  Group-theoretic methods in mechanics and applied mathematics. Differential and Integral Equations and Their Applications, 2. Taylor & Francis, Ltd., London, 2002. x+230 pp. ISBN: 0-415-29863-6
• Puri, Ravinder R.
  Mathematical Methods of Quantum Optics Springer Series in Optical Sciences , Vol. 79 2001, XIV, 285 pp. 13 figs., Hardcover ISBN: 3-540-67802-6
• Baker, Andrew
  Matrix Groups: An Introduction to Lie Group Theory. Springer-Verlag, New York, 2002. 330 p. ISBN: 1-85233-470-3
• Gromak, Valerii I.; Laine, Ilpo; Shimomura, Shun
  Painleve differential equations in the complex plane. de Gruyter Studies in Mathematics, 28. Walter de Gruyter & Co., Berlin, 2002. viii+303 pp. ISBN: 3-11-017379-4
• Polyanin, Andrei D.
  Handbook of linear partial differential equations for engineers and scientists. Chapman & Hall/CRC, Boca Raton, FL, 2002. xviii+781 pp. ISBN: 1-58488-299-9 (see also e-book and russian version of the book)
• Agricola, Ilka; Friedrich, Thomas;
  Global Analysis: Differential Forms in Analysis, Geometry and Physics. Graduate Studies in Mathematics, 52. American Mathematical Society, Providence, RI, 2002. 343 pp. ISBN: 0-8218-2951-3
• Cantwell, Brian J.
  Introduction to symmetry analysis. With 1 CD-ROM. Cambridge Texts in Applied Mathematics. Cambridge University Press, Cambridge, 2002. xlii+612 pp. ISBN: 0-521-77183-8; 0-521-77740-2
• Polyanin, A. D.; Zaitsev, V. F.; Moussiaux, A.
  Handbook of first order partial differential equations. Differential and Integral Equations and Their Applications, 1. Taylor & Francis, Ltd., London, 2002. xviii+500 pp. ISBN: 0-415-27267-X (see also the russian version)
• McWeeny, Roy
  Symmetry. An introduction to group theory and its applications. Reprint of the 1963 original. Dover Publications, Inc., Mineola, NY, 2002. viii+248 pp. ISBN: 0-486-42182-1
• Bluman, George W.; Anco, Stephen C.
  Symmetry and integration methods for differential equations. Applied Mathematical Sciences, 154. Springer-Verlag, New York, 2002. x+419 pp. ISBN: 0-387-98654-5
• Helein, Frederic
  Harmonic maps, conservation laws and moving frames. Translated from the 1996 French original. With a foreword by James Eells. Second edition. Cambridge Tracts in Mathematics, 150. Cambridge University Press, Cambridge, 2002. xxvi+264 pp. ISBN: 0-521-81160-0
• Rogers, C.; Schief, W. K.
  Backlund and Darboux transformations. Geometry and modern applications in soliton theory. Cambridge Texts in Applied Mathematics. Cambridge University Press, Cambridge, 2002. xviii+413 pp. ISBN: 0-521-81331-X; 0-521-01288-0
• Kamran, Niky
  Selected topics in the geometrical study of differential equations. CBMS Regional Conference Series in Mathematics, 96. Published for the Conference Board of the Mathematical Sciences, Washington, DC; by the American Mathematical Society, Providence, RI, 2002. xiv+115 pp. ISBN: 0-8218-2639-5
• Hurley, Donal J.; Vandyck, Michael A.
  Topics in differential geometry. A new approach using D-differentiation. Springer-Praxis Books in Mathematics. Springer-Verlag, Berlin; Published in association with Praxis Publishing Ltd., Chichester, 2002. xiv+173 pp. ISBN: 1-85233-491-6
• Audin, Michele
  Les systemes hamiltoniens et leur integrabilite. (French) [Hamiltonian systems and their integrability] Cours Specialises [Specialized Courses], 8. Societe Mathematique de France, Paris; EDP Sciences, Les Ulis, 2001. viii+170 pp. ISBN: 2-86883-522-8 (see also abstract in English)
• Emanuel, George
  Solution of ordinary differential equations by continuous groups. Chapman & Hall/CRC, Boca Raton, FL, 2001. vi+220 pp. ISBN: 1-58488-243-3
• Grosser, Michael; Kunzinger, Michael; Oberguggenberger, Michael; Steinbauer, Roland
  Geometric theory of generalized functions with applications to general relativity. Mathematics and its Applications, 537. Kluwer Academic Publishers, Dordrecht, 2001. xvi+505 pp. ISBN: 1-4020-0145-2
• Calogero, Francesco
  Classical many-body problems amenable to exact treatments. (Solvable and/or integrable and/or linearizable...) in one-, two- and three-dimensional space. Lecture Notes in Physics. New Series m: Monographs, 66. Springer-Verlag, Berlin, 2001. xviii+749 pp. ISBN: 3-540-41764-8 (see also e-book)
• Vinogradov, A. M.
  Cohomological analysis of partial differential equations and secondary calculus. Translated from the Russian manuscript by Joseph Krasil'shchik. Translations of Mathematical Monographs, 204. American Mathematical Society, Providence, RI, 2001. xvi+247 pp. ISBN: 0-8218-2922-X
• Blaom, Anthony D.
  A Geometric Setting for Hamiltonian Perturbation Theory. Memoirs of the American Mathematical Society, 153. American Mathematical Society, Providence, RI, 2001. 112 pp. ISBN: 0-8218-2720-0
• Cendra, Hernan; Marsden, Jerrold E.; Ratiu, Tudor S.
  Lagrangian Reduction by Stages. Memoirs of the American Mathematical Society, 152. American Mathematical Society, Providence, RI, 2001. 108 pp. ISBN: 0-8218-2715-4 (free e-print)
• Goriely, Alain
  Integrability and nonintegrability of dynamical systems. Advanced Series in Nonlinear Dynamics, 19. World Scientific Publishing Co., Inc., River Edge, NJ, 2001. xviii+415 pp. ISBN: 981-02-3533-X
• Vanhaecke, Pol
  Integrable systems in the realm of algebraic geometry. Second edition. Lecture Notes in Mathematics, 1638. Springer-Verlag, Berlin, 2001. x+256 pp. ISBN: 3-540-42337-0 (see also e-book)
• Cooper, Fred; Khare, Avinash; Sukhatme, Uday
  Supersymmetry in quantum mechanics. World Scientific Publishing Co., Inc., River Edge, NJ, 2001. xii+210 pp. ISBN: 981-02-4612-9 (see also hep-th/9405029)
• Belinski, V.; Verdaguer, E.
  Gravitational solitons. Cambridge Monographs on Mathematical Physics. Cambridge University Press, Cambridge, 2001. xiv+258 pp. ISBN: 0-521-80586-4
• Zhidkov, Peter E.
  Korteweg-de Vries and nonlinear Schrodinger equations: qualitative theory. Lecture Notes in Mathematics, 1756. Springer-Verlag, Berlin, 2001. vi+147 pp. ISBN: 3-540-41833-4 (see also e-book)
• Vilasi, Gaetano
  Hamiltonian dynamics. World Scientific Publishing Co., Inc., River Edge, NJ, 2001. xvi+440 pp. ISBN: 981-02-3308-6
• Sussman, Gerald Jay; Wisdom, Jack; Mayer, Meinhard E.
  Structure and interpretation of classical mechanics. MIT Press, Cambridge, MA, 2001. xxiv+534 pp. ISBN: 0-262-19455-4 (free online edition)
• Singer, Stephanie Frank
  Symmetry in mechanics. A gentle, modern introduction. Birkhauser Boston, Inc., Boston, MA, 2001. xiv+193 pp. ISBN: 0-8176-4145-9
• Sexl, Roman U.; Urbantke, Helmuth K.
  Relativity, groups, particles. Special relativity and relativistic symmetry in field and particle physics. Revised and translated from the third German (1992) edition by Urbantke. Springer Physics. Springer-Verlag, Vienna, 2001. xii+388 pp. ISBN: 3-211-83443-5
• Bagchi, Bijan Kumar
  Supersymmetry in quantum and classical mechanics. Chapman & Hall/CRC Monographs and Surveys in Pure and Applied Mathematics, 116. Chapman & Hall/CRC, Boca Raton, FL, 2001. xiv+222 pp. ISBN: 1-58488-197-6 (see also e-book)
• Figalist, Helmut
  Algebraische Aspekte quadratischer dynamischer Systeme. (German) [Algebraic aspects of quadratic dynamic systems] Dissertation, Fernuniversitat (Open University), Hagen, 2000. Logos Verlag Berlin, Berlin, 2000. iv+161 pp. ISBN: 3-89722-440-2
• Krasil'shchik, I. S.; Kersten, P. H. M.
  Symmetries and recursion operators for classical and supersymmetric differential equations. Mathematics and its Applications, 507. Kluwer Academic Publishers, Dordrecht, 2000. xvi+384 pp. ISBN: 0-7923-6315-9
• Kuksin, Sergei B.
  Analysis of Hamiltonian PDEs. Oxford Lecture Series in Mathematics and its Applications, 19. Oxford University Press, Oxford, 2000. xii+212 pp. ISBN: 0-19-850395-4
• Carroll, Robert
  Quantum theory, deformation and integrability. North-Holland Mathematics Studies, 186. North-Holland Publishing Co., Amsterdam, 2000. xii+407 pp. ISBN: 0-444-50621-7
• Carinena, J. F.; Grabowski, J.; Marmo, G.
  Lie-Scheffers systems: a geometric approach. Napoli Series on Physics and Astrophysics. Bibliopolis, Naples, 2000. x+133 pp. ISBN: 88-7088-378-7
• Sachdev, P. L.
  Self-similarity and beyond. Exact solutions of nonlinear problems. Chapman & Hall/CRC Monographs and Surveys in Pure and Applied Mathematics, 113. Chapman & Hall/CRC, Boca Raton, FL, 2000. x+319 pp. ISBN: 1-58488-211-5 (see also e-book)
• Hsu, Jong-Ping
  Einstein's relativity and beyond. New symmetry approaches. Advanced Series on Theoretical Physical Science, 7. World Scientific Publishing Co., Inc., River Edge, NJ, 2000. xxii+418 pp. ISBN: 981-02-3888-6
• Kamchatnov, A. M.
  Nonlinear periodic waves and their modulations. An introductory course. World Scientific Publishing Co., Inc., River Edge, NJ, 2000. xiv+383 pp. ISBN: 981-02-4407-X
• Frappat, L.; Sciarrino, A.; Sorba, P.
  Dictionary on Lie algebras and superalgebras. With 1 CD-ROM (Windows, Macintosh and UNIX). Academic Press, Inc., San Diego, CA, 2000. xxii+410 pp. ISBN: 0-12-265340-8 (see also hep-th/9607161)
• Bolsinov, A. V.; Fomenko, A. T.
  Integrable geodesic flows on two-dimensional surfaces. Monographs in Contemporary Mathematics. Kluwer Academic Publishers, Dordrecht, 2000. xiv+322 pp. ISBN: 0-306-11065-2
• Stormark, Olle
  Lie's structural approach to PDE systems. Encyclopedia of Mathematics and its Applications, 80. Cambridge University Press, Cambridge, 2000. xvi+572 pp. ISBN: 0-521-78088-8
• Baumann, Gerd
  Symmetry analysis of differential equations with Mathematica. With 1 CD-ROM (Windows, Macintosh and UNIX). Springer-Verlag--TELOS, New York, 2000. xii+521 pp. ISBN: 0-387-98552-2
• Kupershmidt, Boris A.
  KP or mKP: Noncommutative mathematics of Lagrangian, Hamiltonian, and integrable systems. Mathematical Surveys and Monographs, 78. American Mathematical Society, Providence, RI, 2000. xx+600 pp. ISBN: 0-8218-1400-1 (see also the russian version)
• Teschl, Gerald
  Jacobi Operators and Completely Integrable Nonlinear Lattices . Mathematical Surveys and Monographs, 72. American Mathematical Society, Providence, RI, 2000. 344 pp. ISBN: 0-8218-1940-2 (free e-book)
• Gray, Jeremy J.
  Linear differential equations and group theory from Riemann to Poincare. Second edition. Birkhauser Boston, Inc., Boston, MA, 2000. xx+338 pp. ISBN: 0-8176-3837-7
• Fraenkel, L. E.
  An introduction to maximum principles and symmetry in elliptic problems. Cambridge Tracts in Mathematics, 128. Cambridge University Press, Cambridge, 2000. x+340 pp. ISBN: 0-521-46195-2
• de Graaf, Willem A.
  Lie algebras: theory and algorithms. North-Holland Mathematical Library, 56. North-Holland Publishing Co., Amsterdam, 2000. xii+393 pp. ISBN: 0-444-50116-9
• Hydon, Peter E.
  Symmetry methods for differential equations. A beginner's guide. Cambridge Texts in Applied Mathematics. Cambridge University Press, Cambridge, 2000. xii+213 pp. ISBN: 0-521-49703-5; 0-521-49786-8
• Chowdhury, A. Roy
  Painleve analysis and its applications. Chapman & Hall/CRC Monographs and Surveys in Pure and Applied Mathematics, 105. Chapman & Hall/CRC, Boca Raton, FL, 2000. viii+298 pp. ISBN: 0-8493-0638-8
• Weinberg, Steven
  The quantum theory of fields. Vol. III. Supersymmetry. Cambridge University Press, Cambridge, 2000. xxii+419 pp. ISBN: 0-521-66000-9
• Miwa, T.; Jimbo, M.; Date, E.
  Solitons. Differential equations, symmetries and infinite-dimensional algebras. Translated from the 1993 Japanese original by Miles Reid. Cambridge Tracts in Mathematics, 135. Cambridge University Press, Cambridge, 2000. x+108 pp. ISBN: 0-521-56161-2
• Roy Chowdhury, A.
  Lie algebraic methods in integrable systems. Chapman & Hall/CRC Research Notes in Mathematics, 415. Chapman & Hall/CRC, Boca Raton, FL, 2000. x+354 pp. ISBN: 1-58488-037-6
• Teschl, Gerald
  Jacobi operators and completely integrable nonlinear lattices. Mathematical Surveys and Monographs, 72. American Mathematical Society, Providence, RI, 2000. xvii+351 pp. ISBN: 0-8218-1940-2
• Ibragimov, Nail
  Introduction to modern group analysis. Tay, Ufa, 2000. xvii+113 pp. ISBN: 5-93578-005-4
• Duggal, Krishan L.; Sharma, Ramesh
  Symmetries of spacetimes and Riemannian manifolds. Mathematics and its Applications, 487. Kluwer Academic Publishers, Dordrecht, 1999. x+214 pp. ISBN: 0-7923-5793-0
• Cicogna, Giampaolo; Gaeta, Giuseppe
  Symmetry and perturbation theory in nonlinear dynamics. Lecture Notes in Physics. New Series m: Monographs, 57. Springer-Verlag, Berlin, 1999. xii+208 pp. ISBN: 3-540-65904-8 (see also e-book)
• Marshakov, Andrei
  Seiberg-Witten theory and integrable systems. World Scientific Publishing Co., Inc., River Edge, NJ, 1999. ii+253 pp. ISBN: 981-02-3636-0; 981-02-3637-9
• Bogdanov, L. V.
  Analytic-bilinear approach to integrable hierarchies. Mathematics and its Applications, 493. Kluwer Academic Publishers, Dordrecht, 1999. xii+264 pp. ISBN: 0-7923-5919-4
• Takahashi, Minoru
  Thermodynamics of one-dimensional solvable models. Cambridge University Press, Cambridge, 1999. xiv+252 pp. ISBN: 0-521-55143-9
• Marsden, Jerrold E.; Ratiu, Tudor S.
  Introduction to mechanics and symmetry. A basic exposition of classical mechanical systems. Second edition. Texts in Applied Mathematics, 17. Springer-Verlag, New York, 1999. xviii+582 pp. ISBN: 0-387-98643-X (free e-book)
• Kim, Shoon K.
  Group theoretical methods and applications to molecules and crystals. Cambridge University Press, Cambridge, 1999. xviii+492 pp. ISBN: 0-521-64062-8
• Morales Ruiz, Juan J.
  Differential Galois theory and non-integrability of Hamiltonian systems. Progress in Mathematics, 179. Birkhauser Verlag, Basel, 1999. xiv+167 pp. ISBN: 3-7643-6078-X
• Isham, Chris J.
  Modern differential geometry for physicists. Second edition. World Scientific Lecture Notes in Physics, 61. World Scientific Publishing Co., Inc., River Edge, NJ, 1999. xiv+289 pp. ISBN: 981-02-3555-0
• Olver, Peter J.
  Classical invariant theory. London Mathematical Society Student Texts, 44. Cambridge University Press, Cambridge, 1999. xxii+280 pp. ISBN: 0-521-55821-2
• Audin, Michhle
  Spinning tops: a course on integrable systems. Cambridge University Press, Cambridge, 1999. 150 pp. ISBN: 0-521-77919-7
• Henkel, Malte
  Conformal invariance and critical phenomena. Texts and Monographs in Physics. Springer-Verlag, Berlin, 1999. xviii+417 pp. ISBN: 3-540-65321-X (see also cond-mat/9304035)
• Elkin, V. I.
  Reduction of nonlinear control systems. A differential geometric approach. Translated from the 1997 Russian original by P. S. V. Naidu and revised by the author. Mathematics and its Applications, 472. Kluwer Academic Publishers, Dordrecht, 1999. xii+248 pp. ISBN: 0-7923-5623-3
• Ibragimov, Nail H.
  Elementary Lie group analysis and ordinary differential equations. Wiley Series in Mathematical Methods in Practice, 4. John Wiley & Sons, Ltd., Chichester, 1999. xviii+347 pp. ISBN: 0-471-97430-7
• Bocharov, A. V.; Chetverikov, V. N.; Duzhin, S. V.; Khor'kova, N. G.; Krasil'shchik, I. S.; Samokhin, A. V.; Torkhov, Yu. N.; Verbovetsky, A. M.; Vinogradov, A. M.
  Symmetries and conservation laws for differential equations of mathematical physics. Edited and with a preface by Krasil'shchik and Vinogradov. Translated from the 1997 Russian original by Verbovetsky and Krasil'shchik. Translations of Mathematical Monographs, 182. American Mathematical Society, Providence, RI, 1999. xiv+333 pp. ISBN: 0-8218-0958-X
• Dresner, Lawrence
  Applications of Lie's theory of ordinary and partial differential equations. Institute of Physics Publishing, Bristol, 1999. xiv+225 pp. ISBN: 0-7503-0530-4; 0-7503-0531-2
• Vein, Robert; Dale, Paul
  Determinants and their applications in mathematical physics. Applied Mathematical Sciences, 134. Springer-Verlag, New York, 1999. xiv+376 pp. ISBN: 0-387-98558-1
• Hitchin, N. J.; Segal, G. B.; Ward, R. S.
  Integrable systems: twistors, loop groups, and riemann surfaces. Oxford Lecture Series in Mathematics and its Applications, 19. Oxford University Press, Oxford, 1999. 328 pp. ISBN: 0-19-850421-7
   
   

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