Contemporary Mathematics 2005; 370 pp; softcover Volume: 377 ISBN10: 0821835386 ISBN13: 9780821835388 List Price: US$109 Member Price: US$87.20 Order Code: CONM/377
 Idempotent mathematics is a rapidly developing new branch of the mathematical sciences that is closely related to mathematical physics. The existing literature on the subject is vast and includes numerous books and journal papers. A workshop was organized at the Erwin Schrödinger Institute for Mathematical Physics (Vienna) to give a snapshot of modern idempotent mathematics. This volume contains articles stemming from that event. Also included is an introductory paper by G. Litvinov and additional invited contributions. The resulting volume presents a comprehensive overview of the state of the art. It is suitable for graduate students and researchers interested in idempotent mathematics and tropical mathematics. Readership Graduate students and research mathematicians interested in idempotent and tropical mathematics. Table of Contents  G. L. Litvinov  The Maslov's dequantization, idempotent and tropical mathematics: A very brief introduction
 M. Akian, S. Gaubert, and V. Kolokoltsov  Set coverings and invertibility of functional Galois connections
 M. Akian, S. Gaubert, and C. Walsh  Discrete maxplus spectral theory
 A. Baklouti  Dequantization of coadjoint orbits: Moment sets and characteristic varieties
 P. Butkovič  On the combinatorial aspects of maxalgebra
 G. Cohen, S. Gaubert, J.P. Quadrat, and I. Singer  Maxplus convex sets and functions
 A. Di Nola and B. Gerla  Algebras of Lukasiewicz's logic and their semiring reducts
 W. H. Fleming and W. M. McEneaney  Maxplus approaches to continuous space control and dynamic programming
 K. Khanin, D. Khmelev, and A. Sobolevskiĭ  A blowup phenomenon in the HamiltonJacobi equation in an unbounded domain
 G. L. Litvinov and G. B. Shpiz  The dequantization transform and generalized Newton polytopes
 P. Loreti and M. Pedicini  An objectoriented approach to idempotent analysis: Integral equations as optimal control problems
 P. Lotito, J.P. Quadrat, and E. Mancinelli  Traffic assignment & GibbsMaslov semirings
 D. McCaffrey  Viscosity solutions on Lagrangian manifolds and connections with tunnelling operators
 E. Pap  Applications of the generated pseudoanalysis to nonlinear partial differential equations
 E. Pap  A generalization of the utility theory using a hybrid idempotentprobabilistic measure
 M. Passare and A. Tsikh  Amoebas: Their spines and their contours
 J. RichterGebert, B. Sturmfels, and T. Theobald  First steps in tropical geometry
 I. V. Roublev  On minimax and idempotent generalized weak solutions to the HamiltonJacobi equation
 E. Wagneur  Dequantisation: Semidirect sums of idempotent semimodules
 J. van der Woude and G. J. Olsder  On (min,max,+)inequalities
 K. Zimmermann  Solution of some maxseparable optimization problems with inequality constraints
