Includes bibliographical references.

The Maslov Dequantization, idempotent and tropical mathematics: a very brief introduction ; Set coverings and invertibility of functional Galois connections ; Discrete maxplus spectral theory ; Dequantization of coadjoint orbits: moment sets and characteristic varieties ; On the combinatorial aspects of maxalgebra ; Maxplus convex sets and functions ; Algebras of Lukasiewicz's logic and their semiring reducts ; Maxplus approaches to continuous space control and dynamic programming ; A blowup phenomenon in the HamiltonJacobi equation in an unbounded domain ; The dequantization transform and generalized Newton polytopes ; An objectoriented approach to idempotent analysis: integral equations as optimal control problems ; Traffic assignment & GibbsMaslov semirings ; Viscosity solutions on Lagrangian manifolds and connections with tunnelling operators ; Applications of the generated pseudoanalysis to nonlinear partial differential equations ; A generalization of the utility theory using a hybrid idempotentprobabilistic measure ; Amoebas: their spines and their contours ; First steps in tropical geometry ; On minimax and idempotent generalized weak solutions to the HamiltonJacobi equation ; Dequantisation: semidirect sums of idempotent semimodules ; On \min ,\max ,+) nequalities ; Solution of some maxseparable optimization problems with inequality constraints G L Litvinov ; Marianne Akian Stephane Gaubert and Vassili Kolokoltsov ; Marianne Akian Stephane Gaubert and Cormac Walsh ; Ali Baklouti ; Peter Butkovic ; Guy Cohen Stephane Gaubert JeanPierre Quadrat and Ivan Singer ; A Di Nola and B Gerla ; Wendell H Fleming and William M McEneaney ; K Khanin D Khmelev and A Sobolevskii ; G L Litvinov and G B Shpiz ; Paola Loreti and Marco Pedicini ; P Lotito JP Quadrat and E Mancinelli ; D McCaffrey ; Endre Pap ; Endre Pap ; Mikael Passare and August Tsikh ; Jurgen RichterGebert Bernd Sturmfels and Thorsten Theobald ; Ilya V Roublev ; Edouard Wagneur ; Jacob van der Woude and Geert Jan Olsder ; Karel Zimmermann