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Softcover ISBN:  9780821894965 
Product Code:  CONM/616 
List Price:  $109.00 
MAA Member Price:  $98.10 
AMS Member Price:  $87.20 
eBook ISBN:  9781470416843 
Product Code:  CONM/616.E 
List Price:  $102.00 
MAA Member Price:  $91.80 
AMS Member Price:  $81.60 
Softcover ISBN:  9780821894965 
eBookISBN:  9781470416843 
Product Code:  CONM/616.B 
List Price:  $211.00$160.00 
MAA Member Price:  $189.90$144.00 
AMS Member Price:  $168.80$128.00 

Book DetailsContemporary MathematicsVolume: 616; 2014; 300 ppMSC: Primary 15; 16; 05; 14; 52; 35; 90; 65; 92; 82;
This volume contains the proceedings of the International Workshop on Tropical and Idempotent Mathematics, held at the Independent University of Moscow, Russia, from August 26–31, 2012. The main purpose of the conference was to bring together and unite researchers and specialists in various areas of tropical and idempotent mathematics and applications.
This volume contains articles on algebraic foundations of tropical mathematics as well as articles on applications of tropical mathematics in various fields as diverse as economics, electroenergetic networks, chemical reactions, representation theory, and foundations of classical thermodynamics.
This volume is intended for graduate students and researchers interested in tropical and idempotent mathematics or in their applications in other areas of mathematics and in technical sciences.ReadershipGraduate students and research mathematicians interested in tropical and idempotent mathematics and its applications.

Table of Contents

Articles

Marianne Akian, Stéphane Gaubert and Alexander Guterman  Tropical Cramer determinants revisited

Antonio Avantaggiati and Paola Loreti  An approximation of HopfLax type formula via idempotent analysis

L. P. Belluce, A. Di Nola and A. R. Ferraioli  Ideals of MVsemirings and MValgebras

V. I. Danilov, A. V. Karzanov and G. A. Koshevoy  Tropical Plücker functions and Kashiwara crystals

Jonathan Eskeldson, Miriam Jaffe and Viorel Nitica  A metric on maxmin algebra

Martin Gavalec and Karel Zimmermann  Optimization on the range of a maxseparable operator

Zur Izhakian, Manfred Knebusch and Louis Rowen  Algebraic structures of tropical mathematics

B. Kh. Kirshtein  Parametric dequantization, tropical reduction of hyperfields and steady states of AC electrical networks

Nikolai Krivulin  A constrained tropical optimization problem: Complete solution and application example

Viktor P. Maslov  On the mathematical foundations of classical thermodynamics

Vladimir Matveenko  Tropical support sets in analysis of weak links and complementarity

Dmitry Nikolayev  Idempotent algebra models of singleagent and multiagent dynamics

Viorel Nitica and Sergeĭ Sergeev  Tropical convexity over maxmin semiring

Vincent Noel, Dima Grigoriev, Sergei Vakulenko and Ovidiu Radulescu  Tropicalization and tropical equilibration of chemical reactions

Thomas Nowak and Bernadette CharronBost  An overview of transience bounds in maxplus algebra

Edouard Wagneur  Strong independence and injectivity in tropical modules


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This volume contains the proceedings of the International Workshop on Tropical and Idempotent Mathematics, held at the Independent University of Moscow, Russia, from August 26–31, 2012. The main purpose of the conference was to bring together and unite researchers and specialists in various areas of tropical and idempotent mathematics and applications.
This volume contains articles on algebraic foundations of tropical mathematics as well as articles on applications of tropical mathematics in various fields as diverse as economics, electroenergetic networks, chemical reactions, representation theory, and foundations of classical thermodynamics.
This volume is intended for graduate students and researchers interested in tropical and idempotent mathematics or in their applications in other areas of mathematics and in technical sciences.
Graduate students and research mathematicians interested in tropical and idempotent mathematics and its applications.

Articles

Marianne Akian, Stéphane Gaubert and Alexander Guterman  Tropical Cramer determinants revisited

Antonio Avantaggiati and Paola Loreti  An approximation of HopfLax type formula via idempotent analysis

L. P. Belluce, A. Di Nola and A. R. Ferraioli  Ideals of MVsemirings and MValgebras

V. I. Danilov, A. V. Karzanov and G. A. Koshevoy  Tropical Plücker functions and Kashiwara crystals

Jonathan Eskeldson, Miriam Jaffe and Viorel Nitica  A metric on maxmin algebra

Martin Gavalec and Karel Zimmermann  Optimization on the range of a maxseparable operator

Zur Izhakian, Manfred Knebusch and Louis Rowen  Algebraic structures of tropical mathematics

B. Kh. Kirshtein  Parametric dequantization, tropical reduction of hyperfields and steady states of AC electrical networks

Nikolai Krivulin  A constrained tropical optimization problem: Complete solution and application example

Viktor P. Maslov  On the mathematical foundations of classical thermodynamics

Vladimir Matveenko  Tropical support sets in analysis of weak links and complementarity

Dmitry Nikolayev  Idempotent algebra models of singleagent and multiagent dynamics

Viorel Nitica and Sergeĭ Sergeev  Tropical convexity over maxmin semiring

Vincent Noel, Dima Grigoriev, Sergei Vakulenko and Ovidiu Radulescu  Tropicalization and tropical equilibration of chemical reactions

Thomas Nowak and Bernadette CharronBost  An overview of transience bounds in maxplus algebra

Edouard Wagneur  Strong independence and injectivity in tropical modules