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Some recent books
on symmetries, integrability and all that (1999-2004)
<ul>

<li>
Scott, Alwyn (Editor) 
 <a href="http://www.routledge-ny.com/ref/nonlinearsci/">Encyclopedia of Nonlinear Science.</a> 
Routledge, New-York, 2004. xvi+850 pp. ISBN 1-579-58385-7

<li>
Etingof, Pavel; Latour, Frederic
 <a href="http://www.oup.co.uk/isbn/0-19-853068-4">The dynamical Yang-Baxter equation, representation theory, and quantum integrable systems.</a> 
Oxford Lecture Series in Mathematics and Its Applications. 
Oxford University Press, Oxford, 2004. xvi+200 pp. ISBN 0-19-853068-4

<li>
Wolf, Kurt Bernardo
 <a href="http://www.springer.de/detail.tpl?isbn=3540220399">Geometric optics on phase space.</a> 
Texts and Monographs in Physics. 
Springer-Verlag, Berlin, 2004. xvi+373 pp. ISBN 3-540-22039-9

<li>
Frenkel, Edward; Ben-Zvi, David 
 <a href="http://www.ams.org/bookstore-getitem/item=SURV-88-R">Vertex algebras and algebraic curves.</a> Second edition. Mathematical Surveys and Monographs, 88. American Mathematical Society, Providence, RI, 2004. xiv+400 pp. ISBN: 0-8218-3674-9 
(free <a href="http://math.berkeley.edu/~frenkel/BOOK/">e-print</a>)

<li>
Sutherland, Bill
 <a href="http://www.worldscibooks.com/physics/5552.html">Beautiful models. 
70 years of exactly solved quantum many-body problems.</a> 
World Scientific Publishing Co., Inc., River Edge, NJ, 2004. xvi+381 pp. ISBN 981-238-859-1; 981-238-897-4

<li>
Varadarajan, V. S. 
 <a href="http://www.ams.org/bookstore-getitem/item=CLN-11">Supersymmetry for mathematicians: an introduction.</a> 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

<li>
Manton, Nicholas; Sutcliffe, Paul 
 <a href="http://books.cambridge.org/0521838363.htm">Topological solitons.</a> Cambridge Monographs on Mathematical Physics. Cambridge University Press, Cambridge, 2004. xii+493 pp. ISBN: 0-521-83836-3

<li>
Kirillov, A. A. 
 <a href="http://www.ams.org/bookstore-getitem/item=gsm-64">Lectures on the orbit method.</a> 
Graduate Studies in Mathematics, 64. 
American Mathematical Society, Providence, RI, 2004. xx+408 pp. ISBN 0-8218-3530-0 
(free <a href="http://www.math.upenn.edu/~kirillov/orbit.html">e-print</a>)

<li>
Beilinson, Alexander; Drinfeld, Vladimir 
 <a href="http://www.ams.org/bookstore-getitem/item=coll-51">Chiral algebras.</a> American Mathematical Society Colloquium Publications, 51. American Mathematical Society, Providence, RI, 2004. vi+375 pp. ISBN: 0-8218-3528-9

<li>
Noumi, Masatoshi 
 <a href="http://www.ams.org/bookstore-getitem/item=mmono-223">Painleve equations through symmetry.</a> 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

<li>
Onishchik, Arkady L. 
 <a href="http://www.ems-ph.org/book.php?proj_nr=18">Lectures on real semisimple Lie algebras and their representations.</a> ESI Lectures in Mathematics and Physics. European Mathematical Society (EMS), Zurich, 2004. x+86 pp. ISBN: 3-03719-002-7

<li>
Ablowitz, M. J.; Prinari, B.; Trubatch, A. D.
 <a href="http://books.cambridge.org/0521534372.htm">Discrete and continuous nonlinear Schrodinger systems.</a> 
London Mathematical Society Lecture Note Series, 302. 
Cambridge University Press, Cambridge, 2004. x+257 pp. ISBN 0-521-53437-2 
(free <a href="http://amath.colorado.edu/activities/preprints/archive/473.pdf">e-print</a>)

<li>
Ortega, Juan-Pablo; Ratiu, Tudor S. 
 <a href="http://www.springer.de/detail.tpl?isbn=0817643079">Momentum maps and Hamiltonian reduction.</a> Progress in Mathematics, 222. Birkhauser Boston, Inc., Boston, MA, 2004. xxxiv+497 pp. ISBN: 0-8176-4307-9

<li>
Chowdhury, A. Roy; Choudhury A. Ghose

<a href="http://www.crcpress.com/shopping_cart/products/product_detail.asp?sku=C3804">Quantum
integrable systems.</a> Research Notes in Mathematics Series, 435. Chapman
&amp; Hall/CRC, Boca Raton, FL, 2004. 416 pp. ISBN: 1-58488-380-4
<li>
Bolsinov, A. V.; Fomenko, A. T.

<a href="http://www.crcpress.com/shopping_cart/products/product_detail.asp?sku=TF1576">Integrable
Hamiltonian systems: geometry, topology, classification.</a> Chapman &amp;
Hall/CRC, Boca Raton, FL, 2004. 744 pp. ISBN: 0-415-29805-9 (see also the
<a href="http://shop.rcd.ru/cgi-bin/index.cgi?module=full.cgi&id=23">russian
version</a>)

<li>
Tyurin, Andrei 
 <a href="http://www.ams.org/bookstore-getitem/item=CRMM-21">Quantization, classical and quantum field theory and theta functions.</a> With a foreword by Alexei Kokotov. CRM Monograph Series, 21. American Mathematical Society, Providence, RI, 2003. xii+136 pp. ISBN: 0-8218-3240-9

<li>
Ivey, Thomas A.; Landsberg, J. M. 
 <a href="http://www.ams.org/bookstore-getitem/item=gsm-61">Cartan for beginners: differential geometry via moving frames and exterior differential systems.</a> Graduate Studies in Mathematics, 61. American Mathematical Society, Providence, RI, 2003. xiv+378 pp. ISBN: 0-8218-3375-8

<li>
Godunov, Sergei K.; Romenskii, Evgenii I. 
 <a href="http://www.springer.de/detail.tpl?isbn=0306477351">Elements of continuum mechanics and conservation laws.</a> Translated from the 1998 Russian edition by Tamara Rozhkovskaya. Kluwer Academic/Plenum Publishers, New York, 2003. viii+258 pp. ISBN: 0-306-47735-1

<li>
Abou-Kandil, Hisham; Freiling, Gerhard; Ionescu, Vlad; Jank, Gerhard 
 <a href="http://www.springer.de/detail.tpl?isbn=376430085X">Matrix Riccati equations. 
In control and systems theory.</a> Systems & Control: Foundations & Applications. 
Birkhauser Verlag, Basel, 2003. xx+572 pp. ISBN 3-7643-0085-X

<li>
Scott, Alwyn
 <a href="http://www.oup.co.uk/isbn/0-19-852852-3">Nonlinear Science - Emergence and Dynamics of Coherent Structures.</a> 
Second Edition, Oxford Texts in Applied and Engineering Mathematics, 
Oxford University Press, Oxford, 2003. xvi+504 pp. ISBN 0-19-852852-3

<li>
Pfeifer, Walter 
 <a href="http://www.springer.de/detail.tpl?isbn=376432418X">The Lie algebras ${{\rm su}(N)}$. 
An introduction.</a> 
Birkhauser Verlag, Basel, 2003. viii+116 pp. ISBN 3-7643-2418-X

<li>
Hall, Brian C.
 <a href="http://www.springer.de/detail.tpl?isbn=0387401229">Lie groups, Lie algebras, and representations. 
An elementary introduction.</a> Graduate Texts in Mathematics, 222. 
Springer-Verlag, New York, 2003. xiv+351 pp. ISBN 0-387-40122-9 
(free <a href="http://www.arxiv.org/abs/math-ph/0005032">e-print</a>)

<li>
Golubitsky, Martin; Stewart, Ian

<a href="http://www.birkhauser.com/detail.tpl?isbn=3764321717">The
symmetry perspective: from equilibrium to chaos in phase space and physical
space.</a> Progress in Mathematics, 200. Birkhauser Boston, Inc., Boston,
MA, 2003. 325 pp. ISBN: 3-7643-2171-7

<li>
Fedorov, Y. N.; Kozlov V. V.

<a href="http://www.springer.de/detail.tpl?isbn=3540590005">A Memoir
on Integrable Systems.</a> Springer-Verlag, New York, 2003. 280 pp. ISBN:
3-540-59000-5
<li>
van der Put, Marius; Singer, Michael F.

<a href="http://www.springer.de/detail.tpl?isbn=3540442286">Galois
Theory of Linear Differential Equations.</a> Springer-Verlag, New York,
2003. 478 pp. ISBN: 3-540-44228-6 (free <a href="http://www4.ncsu.edu:8030/~singer/papers/dbook2.ps">e-book</a>)
<li>
Vozmischeva, T. G.

<a href="http://www.springer.de/detail.tpl?isbn=1402015216">Integrable Problems
of Celestial Mechanics in Spaces of Constant Curvature.</a> Kluwer Academic
Publishers, Dordrecht, 2003. 196 pp. ISBN: 1-4020-1521-6
<li>
Moser, Jurgen

<a href="http://www.birkhauser.ch/books/math/2185.htm">Selected chapters
in the calculus of variations.</a> (Lecture Notes by Oliver Knill, ETH,
Zurich, 1988), Birkhauser Verlag, Basel, 2003, 140 pages. ISBN 3-7643-2185-7
(free <a href="http://www.dynamical-systems.org/moserscript/content.html">e-book</a>,
german and english)
<li>
Fuchs, Jurgen; Schweigert, Christoph

<a href="http://books.cambridge.org/0521541190.htm">Symmetries, Lie
Algebras and Representations.</a> A Graduate Course for Physicists. Cambridge
University Press, Cambridge, 2003. xii+460 pp. ISBN: 0-521-54119-0
<li>
Duplij, Steven; Siegel, Warren; Bagger, Jonathan (Editors)

<a href="http://www.springer.de/detail.tpl?isbn=1402013388">Concise encyclopedia
of supersymmetry and noncommutative structures in mathematics and physics.</a>
Kluwer Academic Publishers, Dordrecht, 2003. xvi+650 pp. ISBN: 1-4020-1338-8
<li>
Audin, Michele; Cannas da Silva, Ana; Lerman, Eugene

<a href="http://www.birkhauser.com/detail.tpl?isbn=3764321679">Symplectic
geometry of integrable hamiltonian systems.</a> Advanced Courses in Mathematics
- CRM Barcelona. Birkhauser Boston, Inc., Boston, MA, 2003. xiv+236 pp.
ISBN: 3-7643-2167-9
<li>
Polyanin, Andrei D.; Zaitsev, Valentin F.

<a href="http://www.crcpress.com/shopping_cart/products/product_detail.asp?sku=C3553">Handbook
of nonlinear partial differential equations.</a> Chapman &amp; Hall/CRC,
Boca Raton, FL, 2003. xxvi+840 pp. ISBN: 1-58488-355-3 (see also <a href="http://www.mathnetbase.com/ejournals/books/book_summary/summary.asp?id=1276">e-book</a>
and the <a href="http://www.fizmatkniga.ru/product_info.php?cPath=54_76&products_id=564">russian
version</a>)
<li>
Polyanin, Andrei D.; Zaitsev, Valentin F.

<a href="http://www.crcpress.com/shopping_cart/products/product_detail.asp?sku=C2972">Handbook
of exact solutions for ordinary differential equations.</a> Second edition.
Chapman &amp; Hall/CRC, Boca Raton, FL, 2003. xxvi+787 pp. ISBN: 1-58488-297-2
(see also <a href="http://www.mathnetbase.com/ejournals/books/book_summary/summary.asp?id=1176">e-book</a>
and <a href="http://www.fizmatkniga.ru/product_info.php?cPath=54_76&products_id=125">russian
version</a> of the book)
<li>
Kamvissis, Spyridon; McLaughlin, Kenneth D. T.-R.; Miller, Peter D.

<a href="http://pup.princeton.edu/titles/7561.html">Semiclassical soliton
ensembles for the focusing nonlinear Schrodinger equation.</a> Annals of
Mathematics Studies, 154. Princeton University Press, Princeton, NJ, 2003.
xii+265 pp. ISBN: 0-691-11483-8; 0-691-11482-X
<li>
Babelon, Olivier; Bernard, Denis; Talon, Michel

<a href="http://books.cambridge.org/052182267X.htm">Introduction to
classical integrable systems.</a> Cambridge Monographs on Mathematical
Physics. Cambridge University Press, Cambridge, 2003. xii+602 pp. ISBN:
0-521-82267-X
<li>
Stephani, Hans; Kramer, Dietrich; MacCallum, Malcolm; Hoenselaers, Cornelius;
Herlt, Eduard

<a href="http://books.cambridge.org/0521461367.htm">Exact Solutions
of Einstein's Field Equations.</a> Cambridge Monographs on Mathematical
Physics. Cambridge University Press, Cambridge, 2003. 732 pp. ISBN: 0-521-46136-7
<li>
Bryant, Robert; Griffiths, Phillip; Grossman, Daniel.

<a href="http://www.press.uchicago.edu/cgi-bin/hfs.cgi/00/15702.ctl">Exterior
differential systems and Euler-Lagrange partial differential equations.</a>
Chicago Lectures in Mathematics. University of Chicago Press, Chicago,
IL, 2003. viii+213 pp. ISBN: 0-226-07794-2 (see also <a href="http://arxiv.org/abs/math.DG/0207039">math.DG/0207039</a>)
<li>
Suris, Yuri B.

<a href="http://www.birkhauser.ch/books/math/6995.htm">The problem
of integrable discretization: Hamiltonian approach.</a> Progress in Mathematics,
219. Birkhauser Verlag, Basel, 2003. xxii+1070 pp. ISBN: 3-7643-6995-7
<li>
Gesztesy, Fritz; Holden, Helge

<a href="http://books.cambridge.org/0521753074.htm">Soliton equations
and their algebro-geometric solutions. Vol. I. (1+1)-dimensional continuous
models.</a> Cambridge Studies in Advanced Mathematics, 79. Cambridge University
Press, Cambridge, 2003. xii+505 pp. ISBN: 0-521-75307-4
<li>
Lakshmanan, M.; Rajasekar, S.

<a href="http://www.springer.de/detail.tpl?isbn=3540439080">Nonlinear
dynamics. Integrability, chaos and patterns.</a> Advanced Texts in Physics.
Springer-Verlag, Berlin, 2003. xx+619 pp. ISBN: 3-540-43908-0
<li>
Klimov, D. M.; Zhuravlev, V. Ph.

<a href="http://www.amazon.com/gp/reader/0415298636">Group-theoretic
methods in mechanics and applied mathematics.</a> Differential and Integral
Equations and Their Applications, 2. Taylor &amp; Francis, Ltd., London,
2002. x+230 pp. ISBN: 0-415-29863-6

<li>
Puri, Ravinder R.
 <a href="http://www.springer.de/detail.tpl?isbn=3540678026">Mathematical Methods of Quantum Optics</a>
Springer Series in Optical Sciences , Vol. 79 
2001, XIV, 285 pp. 13 figs., Hardcover
ISBN: 3-540-67802-6

<li>
Baker, Andrew 
 <a href="http://www.springer.de/cgi-bin/search_book.pl?isbn=1-85233-470-3">Matrix Groups: An Introduction to Lie Group Theory.</a> Springer-Verlag, New York, 2002. 330 p. ISBN: 1-85233-470-3

<li>
Gromak, Valerii I.; Laine, Ilpo; Shimomura, Shun

<a href="http://www.degruyter.de/rs/bookSingle.cfm?id=IS-3110173794-1&l=E">Painleve
differential equations in the complex plane.</a> de Gruyter Studies in
Mathematics, 28. Walter de Gruyter &amp; Co., Berlin, 2002. viii+303 pp.
ISBN: 3-11-017379-4
<li>
Polyanin, Andrei D.

<a href="http://www.crcpress.com/shopping_cart/products/product_detail.asp?sku=C2999">Handbook
of linear partial differential equations for engineers and scientists.</a>
Chapman &amp; Hall/CRC, Boca Raton, FL, 2002. xviii+781 pp. ISBN: 1-58488-299-9
(see also <a href="http://www.mathnetbase.com/ejournals/books/book_summary/summary.asp?id=609">e-book</a>
and <a href="http://www.fizmatkniga.ru/product_info.php?cPath=54_76&products_id=153">russian
version</a> of the book)
<li>
Agricola, Ilka; Friedrich, Thomas;

<a href="http://www.ams.org/bookstore-getitem/item=GSM-52">Global
Analysis: Differential Forms in Analysis, Geometry and Physics.</a> Graduate
Studies in Mathematics, 52. American Mathematical Society, Providence,
RI, 2002. 343 pp. ISBN: 0-8218-2951-3
<li>
Cantwell, Brian J.

<a href="http://books.cambridge.org/0521777402.htm">Introduction to
symmetry analysis.</a> 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
<li>
Polyanin, A. D.; Zaitsev, V. F.; Moussiaux, A.

<a href="https://ecommerce.tandf.co.uk/catalogue/DetailedDisplay.asp?ISBN=041527267X&ResourceCentre=SEARCH">Handbook
of first order partial differential equations.</a> Differential and Integral
Equations and Their Applications, 1. Taylor &amp; Francis, Ltd., London,
2002. xviii+500 pp. ISBN: 0-415-27267-X (see also the <a href="http://www.fizmatkniga.ru/product_info.php?cPath=&products_id=1454">russian
version</a>)
<li>
McWeeny, Roy

<a href="http://web.doverpublications.com/cgi-bin/toc.pl/0486421821">Symmetry.
An introduction to group theory and its applications.</a> Reprint of the
1963 original. Dover Publications, Inc., Mineola, NY, 2002. viii+248 pp.
ISBN: 0-486-42182-1
<li>
Bluman, George W.; Anco, Stephen C.

<a href="http://www.springer.de/detail.tpl?isbn=0387986545">Symmetry
and integration methods for differential equations.</a> Applied Mathematical
Sciences, 154. Springer-Verlag, New York, 2002. x+419 pp. ISBN: 0-387-98654-5
<li>
Helein, Frederic

<a href="http://books.cambridge.org/0521811600.htm">Harmonic maps,
conservation laws and moving frames.</a> 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
<li>
Rogers, C.; Schief, W. K.

<a href="http://books.cambridge.org/0521012880.htm">Backlund and Darboux
transformations. Geometry and modern applications in soliton theory.</a>
Cambridge Texts in Applied Mathematics. Cambridge University Press, Cambridge,
2002. xviii+413 pp. ISBN: 0-521-81331-X; 0-521-01288-0
<li>
Kamran, Niky

<a href="http://www.ams.org/bookstore-getitem/item=CBMS-96">Selected
topics in the geometrical study of differential equations.</a> 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
<li>
Hurley, Donal J.; Vandyck, Michael A.

<a href="http://www.springer.de/detail.tpl?isbn=1852334916">Topics
in differential geometry. A new approach using D-differentiation.</a> 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
<li>
Audin, Michele

<a href="http://books.edpsciences.com/articles_books/textes/hamilton.html">Les
systemes hamiltoniens et leur integrabilite.</a> (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 <a href="http://www.ams.org/bookstore-getitem/item=COSP-8">English</a>)
<li>
Emanuel, George

<a href="http://www.crcpress.com/shopping_cart/products/product_detail.asp?sku=C2433">Solution
of ordinary differential equations by continuous groups.</a> Chapman &amp;
Hall/CRC, Boca Raton, FL, 2001. vi+220 pp. ISBN: 1-58488-243-3
<li>
Grosser, Michael; Kunzinger, Michael; Oberguggenberger, Michael; Steinbauer,
Roland

<a href="http://www.springer.de/detail.tpl?isbn=1402001452">Geometric theory
of generalized functions with applications to general relativity.</a> Mathematics
and its Applications, 537. Kluwer Academic Publishers, Dordrecht, 2001.
xvi+505 pp. ISBN: 1-4020-0145-2
<li>
Calogero, Francesco

<a href="http://www.springer.de/detail.tpl?isbn=3540417648">Classical
many-body problems amenable to exact treatments. (Solvable and/or integrable
and/or linearizable...) in one-, two- and three-dimensional space.</a>
Lecture Notes in Physics. New Series m: Monographs, 66. Springer-Verlag,
Berlin, 2001. xviii+749 pp. ISBN: 3-540-41764-8 (see also <a href="http://www.springerlink.com/openurl.asp?genre=issue&issn=0940-7677&volume=66">e-book</a>)
<li>
Vinogradov, A. M.

<a href="http://www.ams.org/bookstore-getitem/item=MMONO-204">Cohomological
analysis of partial differential equations and secondary calculus.</a>
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
<li>
Blaom, Anthony D.

<a href="http://www.ams.org/bookstore-getitem/item=MEMO-153-727">A
Geometric Setting for Hamiltonian Perturbation Theory.</a> Memoirs of the
American Mathematical Society, 153. American Mathematical Society, Providence,
RI, 2001. 112 pp. ISBN: 0-8218-2720-0
<li>
Cendra, Hernan; Marsden, Jerrold E.; Ratiu, Tudor S.

<a href="http://www.ams.org/bookstore-getitem/item=MEMO-152-722">Lagrangian
Reduction by Stages.</a> Memoirs of the American Mathematical Society,
152. American Mathematical Society, Providence, RI, 2001. 108 pp. ISBN:
0-8218-2715-4 (free <a href="http://www.cds.caltech.edu/~marsden/bib_src/papers/2001/06-CeMaRa2001b/CeMaRa2001b_abs/">e-print</a>)
<li>
Goriely, Alain

<a href="http://www.wspc.com/books/chaos/3846.html">Integrability and
nonintegrability of dynamical systems.</a> Advanced Series in Nonlinear
Dynamics, 19. World Scientific Publishing Co., Inc., River Edge, NJ, 2001.
xviii+415 pp. ISBN: 981-02-3533-X
<li>
Vanhaecke, Pol

<a href="http://www.springer.de/detail.tpl?isbn=3540423370">Integrable
systems in the realm of algebraic geometry.</a> Second edition. Lecture
Notes in Mathematics, 1638. Springer-Verlag, Berlin, 2001. x+256 pp. ISBN:
3-540-42337-0 (see also <a href="http://www.springerlink.com/openurl.asp?genre=issue&issn=0075-8434&volume=1638">e-book</a>)
<li>
Cooper, Fred; Khare, Avinash; Sukhatme, Uday

<a href="http://www.wspc.com/books/physics/4687.html">Supersymmetry
in quantum mechanics.</a> World Scientific Publishing Co., Inc., River
Edge, NJ, 2001. xii+210 pp. ISBN: 981-02-4612-9 (see also <a href="http://arxiv.org/abs/hep-th/9405029">hep-th/9405029</a>)
<li>
Belinski, V.; Verdaguer, E.

<a href="http://books.cambridge.org/0521805864.htm">Gravitational solitons.</a>
Cambridge Monographs on Mathematical Physics. Cambridge University Press,
Cambridge, 2001. xiv+258 pp. ISBN: 0-521-80586-4
<li>
Zhidkov, Peter E.

<a href="http://www.springer.de/detail.tpl?isbn=3540418334">Korteweg-de
Vries and nonlinear Schrodinger equations: qualitative theory.</a> Lecture
Notes in Mathematics, 1756. Springer-Verlag, Berlin, 2001. vi+147 pp. ISBN:
3-540-41833-4 (see also <a href="http://www.springerlink.com/openurl.asp?genre=issue&issn=0075-8434&volume=1756">e-book</a>)
<li>
Vilasi, Gaetano

<a href="http://www.wspc.com.sg/books/physics/3637.html">Hamiltonian
dynamics.</a> World Scientific Publishing Co., Inc., River Edge, NJ, 2001.
xvi+440 pp. ISBN: 981-02-3308-6
<li>
Sussman, Gerald Jay; Wisdom, Jack; Mayer, Meinhard E.

<a href="http://mitpress.mit.edu/0262194554">Structure and interpretation
of classical mechanics.</a> MIT Press, Cambridge, MA, 2001. xxiv+534 pp.
ISBN: 0-262-19455-4 (free <a href="http://mitpress.mit.edu/SICM">online
edition</a>)
<li>
Singer, Stephanie Frank

<a href="http://www.birkhauser.com/detail.tpl?isbn=0817641459">Symmetry
in mechanics. A gentle, modern introduction.</a> Birkhauser Boston, Inc.,
Boston, MA, 2001. xiv+193 pp. ISBN: 0-8176-4145-9
<li>
Sexl, Roman U.; Urbantke, Helmuth K.

<a href="http://www.springer.de/detail.tpl?isbn=3211834435">Relativity,
groups, particles. Special relativity and relativistic symmetry in field
and particle physics.</a> 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
<li>
Bagchi, Bijan Kumar

<a href="http://www.crcpress.com/shopping_cart/products/product_detail.asp?sku=C1976">Supersymmetry
in quantum and classical mechanics.</a> Chapman &amp; Hall/CRC Monographs
and Surveys in Pure and Applied Mathematics, 116. Chapman &amp; Hall/CRC,
Boca Raton, FL, 2001. xiv+222 pp. ISBN: 1-58488-197-6 (see also <a href="http://www.mathnetbase.com/ejournals/books/book_summary/summary.asp?id=984">e-book</a>)
<li>
Figalist, Helmut

<a href="http://www.logos-verlag.de/cgi-bin/buchmid?isbn=440&">Algebraische
Aspekte quadratischer dynamischer Systeme.</a> (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
<li>
Krasil'shchik, I. S.; Kersten, P. H. M.

<a href="http://www.springer.de/detail.tpl?isbn=0792363159">Symmetries and recursion
operators for classical and supersymmetric differential equations.</a>
Mathematics and its Applications, 507. Kluwer Academic Publishers, Dordrecht,
2000. xvi+384 pp. ISBN: 0-7923-6315-9
<li>
Kuksin, Sergei B.

<a href="http://oup-usa.org/isbn/0198503954.html">Analysis of Hamiltonian
PDEs.</a> Oxford Lecture Series in Mathematics and its Applications, 19.
Oxford University Press, Oxford, 2000. xii+212 pp. ISBN: 0-19-850395-4
<li>
Carroll, Robert

<a href="http://www.elsevier.com/inca/publications/store/6/2/1/4/5/4/">Quantum
theory, deformation and integrability.</a> North-Holland Mathematics Studies,
186. North-Holland Publishing Co., Amsterdam, 2000. xii+407 pp. ISBN: 0-444-50621-7
<li>
Carinena, J. F.; Grabowski, J.; Marmo, G.

<a href="http://www.unilibro.it/find_buy/product.asp?sku=760514">Lie-Scheffers
systems: a geometric approach.</a> Napoli Series on Physics and Astrophysics.
Bibliopolis, Naples, 2000. x+133 pp. ISBN: 88-7088-378-7
<li>
Sachdev, P. L.

<a href="http://www.crcpress.com/shopping_cart/products/product_detail.asp?sku=C2115">Self-similarity
and beyond. Exact solutions of nonlinear problems.</a> Chapman &amp; Hall/CRC
Monographs and Surveys in Pure and Applied Mathematics, 113. Chapman &amp;
Hall/CRC, Boca Raton, FL, 2000. x+319 pp. ISBN: 1-58488-211-5 (see also
<a href="http://www.mathnetbase.com/ejournals/books/book_summary/summary.asp?id=1031">e-book</a>)
<li>
Hsu, Jong-Ping

<a href="http://www.wspc.com/books/physics/4114.html">Einstein's relativity
and beyond. New symmetry approaches.</a> Advanced Series on Theoretical
Physical Science, 7. World Scientific Publishing Co., Inc., River Edge,
NJ, 2000. xxii+418 pp. ISBN: 981-02-3888-6
<li>
Kamchatnov, A. M.

<a href="http://www.wspc.com/books/physics/4513.html">Nonlinear periodic
waves and their modulations.</a> An introductory course. World Scientific
Publishing Co., Inc., River Edge, NJ, 2000. xiv+383 pp. ISBN: 981-02-4407-X
<li>
Frappat, L.; Sciarrino, A.; Sorba, P.

<a href="http://www.elsevier.com/inca/publications/store/6/7/5/3/5/4/">Dictionary
on Lie algebras and superalgebras.</a> 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 <a href="http://arxiv.org/abs/hep-th/9607161">hep-th/9607161</a>)
<li>
Bolsinov, A. V.; Fomenko, A. T.

<a href="http://www.springer.de/detail.tpl?isbn=0306110652">Integrable geodesic
flows on two-dimensional surfaces.</a> Monographs in Contemporary Mathematics.
Kluwer Academic Publishers, Dordrecht, 2000. xiv+322 pp. ISBN: 0-306-11065-2
<li>
Stormark, Olle

<a href="http://books.cambridge.org/0521780888.htm">Lie's structural
approach to PDE systems.</a> Encyclopedia of Mathematics and its Applications,
80. Cambridge University Press, Cambridge, 2000. xvi+572 pp. ISBN: 0-521-78088-8
<li>
Baumann, Gerd

<a href="http://www.springer.de/detail.tpl?isbn=0387985522">Symmetry
analysis of differential equations with Mathematica.</a> With 1 CD-ROM
(Windows, Macintosh and UNIX). Springer-Verlag--TELOS, New York, 2000.
xii+521 pp. ISBN: 0-387-98552-2
<li>
Kupershmidt, Boris A.

<a href="http://www.ams.org/bookstore-getitem/item=SURV-78">KP
or mKP: Noncommutative mathematics of Lagrangian, Hamiltonian, and integrable
systems.</a> Mathematical Surveys and Monographs, 78. American Mathematical
Society, Providence, RI, 2000. xx+600 pp. ISBN: 0-8218-1400-1 (see also
the <a href="http://shop.rcd.ru/cgi-bin/index.cgi?module=full.cgi&id=495">russian
version</a>)

<li>
Teschl, Gerald

<a href="http://www.ams.org/bookstore-getitem/item=SURV-72">Jacobi 
Operators and Completely Integrable Nonlinear Lattices
.</a> Mathematical Surveys and Monographs, 72. American Mathematical
Society, Providence, RI, 2000. 344 pp. ISBN: 0-8218-1940-2 (free 
<a href="http://www.mat.univie.ac.at/~gerald/ftp/book-jac/">e-book</a>)

<li>
Gray, Jeremy J.

<a href="http://www.birkhauser.com/detail.tpl?isbn=0817638377">Linear
differential equations and group theory from Riemann to Poincare.</a> Second
edition. Birkhauser Boston, Inc., Boston, MA, 2000. xx+338 pp. ISBN: 0-8176-3837-7
<li>
Fraenkel, L. E.

<a href="http://books.cambridge.org/0521461952.htm">An introduction
to maximum principles and symmetry in elliptic problems.</a> Cambridge
Tracts in Mathematics, 128. Cambridge University Press, Cambridge, 2000.
x+340 pp. ISBN: 0-521-46195-2
<li>
de Graaf, Willem A.

<a href="http://www.elsevier.com/inca/publications/store/6/2/0/7/2/6/">Lie
algebras: theory and algorithms.</a> North-Holland Mathematical Library,
56. North-Holland Publishing Co., Amsterdam, 2000. xii+393 pp. ISBN: 0-444-50116-9
<li>
Hydon, Peter E.

<a href="http://books.cambridge.org/0521497868.htm">Symmetry methods
for differential equations. A beginner's guide.</a> Cambridge Texts in
Applied Mathematics. Cambridge University Press, Cambridge, 2000. xii+213
pp. ISBN: 0-521-49703-5; 0-521-49786-8
<li>
Chowdhury, A. Roy

<a href="http://www.crcpress.com/shopping_cart/products/product_detail.asp?sku=LM0638">Painleve
analysis and its applications.</a> Chapman &amp; Hall/CRC Monographs and
Surveys in Pure and Applied Mathematics, 105. Chapman &amp; Hall/CRC, Boca
Raton, FL, 2000. viii+298 pp. ISBN: 0-8493-0638-8
<li>
Weinberg, Steven

<a href="http://books.cambridge.org/0521780829.htm">The quantum theory
of fields. Vol. III. Supersymmetry.</a> Cambridge University Press, Cambridge,
2000. xxii+419 pp. ISBN: 0-521-66000-9
<li>
Miwa, T.; Jimbo, M.; Date, E.

<a href="http://books.cambridge.org/0521561612.htm">Solitons. Differential
equations, symmetries and infinite-dimensional algebras.</a> 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
<li>
Roy Chowdhury, A.

<a href="http://www.crcpress.com/shopping_cart/products/product_detail.asp?sku=LM0637">Lie
algebraic methods in integrable systems.</a> Chapman &amp; Hall/CRC Research
Notes in Mathematics, 415. Chapman &amp; Hall/CRC, Boca Raton, FL, 2000.
x+354 pp. ISBN: 1-58488-037-6
<li>
Teschl, Gerald

<a href="http://www.ams.org/bookstore-getitem/item=SURV-72">Jacobi
operators and completely integrable nonlinear lattices.</a> Mathematical
Surveys and Monographs, 72. American Mathematical Society, Providence,
RI, 2000. xvii+351 pp. ISBN: 0-8218-1940-2
<li>
Ibragimov, Nail

<a href="http://www.bth.se/ihn/alga.nsf/Sidor/F743C2886D5D5AF8C1256AFC0041F783!OpenDocument">Introduction
to modern group analysis.</a> Tay, Ufa, 2000. xvii+113 pp. ISBN: 5-93578-005-4
<li>
Duggal, Krishan L.; Sharma, Ramesh

<a href="http://www.springer.de/detail.tpl?isbn=0792357930">Symmetries of spacetimes
and Riemannian manifolds.</a> Mathematics and its Applications, 487. Kluwer
Academic Publishers, Dordrecht, 1999. x+214 pp. ISBN: 0-7923-5793-0
<li>
Cicogna, Giampaolo; Gaeta, Giuseppe

<a href="http://www.springer.de/detail.tpl?isbn=3540659048">Symmetry
and perturbation theory in nonlinear dynamics.</a> Lecture Notes in Physics.
New Series m: Monographs, 57. Springer-Verlag, Berlin, 1999. xii+208 pp.
ISBN: 3-540-65904-8 (see also
<a href="http://www.springerlink.com/openurl.asp?genre=issue&issn=0940-7677&volume=57&issue=preprint">e-book</a>)
<li>
Marshakov, Andrei

<a href="http://www.wspc.com/books/physics/3936.html">Seiberg-Witten
theory and integrable systems.</a> World Scientific Publishing Co., Inc.,
River Edge, NJ, 1999. ii+253 pp. ISBN: 981-02-3636-0; 981-02-3637-9
<li>
Bogdanov, L. V.

<a href="http://www.springer.de/detail.tpl?isbn=0792359194">Analytic-bilinear
approach to integrable hierarchies.</a> Mathematics and its Applications,
493. Kluwer Academic Publishers, Dordrecht, 1999. xii+264 pp. ISBN: 0-7923-5919-4
<li>
Takahashi, Minoru

<a href="http://books.cambridge.org/0521551439.htm">Thermodynamics
of one-dimensional solvable models.</a> Cambridge University Press, Cambridge,
1999. xiv+252 pp. ISBN: 0-521-55143-9
<li>
Marsden, Jerrold E.; Ratiu, Tudor S.

<a href="http://www.springer.de/detail.tpl?isbn=038798643X">Introduction
to mechanics and symmetry.</a> 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 <a href="http://www.cds.caltech.edu/~marsden/bib_src/ms/Book/">e-book</a>)
<li>
Kim, Shoon K.

<a href="http://books.cambridge.org/0521640628.htm">Group theoretical
methods and applications to molecules and crystals.</a> Cambridge University
Press, Cambridge, 1999. xviii+492 pp. ISBN: 0-521-64062-8
<li>
Morales Ruiz, Juan J.

<a href="http://www.birkhauser.ch/books/math/6078.htm">Differential
Galois theory and non-integrability of Hamiltonian systems.</a> Progress
in Mathematics, 179. Birkhauser Verlag, Basel, 1999. xiv+167 pp. ISBN:
3-7643-6078-X
<li>
Isham, Chris J.

<a href="http://www.wspc.com.sg/books/physics/3867.html">Modern differential
geometry for physicists.</a> 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
<li>
Olver, Peter J.

<a href="http://books.cambridge.org/0521558212.htm">Classical invariant
theory.</a> London Mathematical Society Student Texts, 44. Cambridge University
Press, Cambridge, 1999. xxii+280 pp. ISBN: 0-521-55821-2
<li>
Audin, Michhle

<a href="http://books.cambridge.org/0521779197.htm">Spinning tops:
a course on integrable systems.</a> Cambridge University Press, Cambridge,
1999. 150 pp. ISBN: 0-521-77919-7
<li>
Henkel, Malte

<a href="http://www.springer.de/detail.tpl?isbn=354065321X">Conformal
invariance and critical phenomena.</a> Texts and Monographs in Physics.
Springer-Verlag, Berlin, 1999. xviii+417 pp. ISBN: 3-540-65321-X (see also
<a href="http://arxiv.org/abs/cond-mat/9304035">cond-mat/9304035</a>)
<li>
Elkin, V. I.

<a href="http://www.springer.de/detail.tpl?isbn=0792356233">Reduction of nonlinear
control systems. A differential geometric approach.</a> 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
<li>
Ibragimov, Nail H.

<a href="http://www.wiley.com/WileyCDA/WileyTitle/productCd-0471974307.html">Elementary
Lie group analysis and ordinary differential equations.</a> Wiley Series
in Mathematical Methods in Practice, 4. John Wiley &amp; Sons, Ltd., Chichester,
1999. xviii+347 pp. ISBN: 0-471-97430-7
<li>
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.

<a href="http://www.ams.org/bookstore-getitem/item=MMONO-182">Symmetries
and conservation laws for differential equations of mathematical physics.</a>
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
<li>
Dresner, Lawrence

<a href="http://bookmarkphysics.iop.org/bookpge.htm?book=576p">Applications
of Lie's theory of ordinary and partial differential equations.</a> Institute
of Physics Publishing, Bristol, 1999. xiv+225 pp. ISBN: 0-7503-0530-4;
0-7503-0531-2
<li>
Vein, Robert; Dale, Paul

<a href="http://www.springer.de/detail.tpl?isbn=0387985581">Determinants
and their applications in mathematical physics.</a> Applied Mathematical
Sciences, 134. Springer-Verlag, New York, 1999. xiv+376 pp. ISBN: 0-387-98558-1
<li>
Hitchin, N. J.; Segal, G. B.; Ward, R. S.

<a href="http://oup-usa.org/isbn/0198504217.html">Integrable systems:
twistors, loop groups, and riemann surfaces.</a> Oxford Lecture Series
in Mathematics and its Applications, 19. Oxford University Press, Oxford,
1999. 328 pp. ISBN: 0-19-850421-7
 &nbsp;
 &nbsp;</ul>
Lists of Russian books you can find <a href="http://urss.ru/cgi-bin/db.pl?page=Catalog&lang=RU&list=37">here</a>,
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See also list of <a href="http://www.imath.kiev.ua/~young/e-books.html">free
e-books</a>.
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pages related to symmetries, integrability and all that</a>
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