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Algebra, Homological. --- Algebraic number theory. --- Galois theory. --- Algebra, Homological --- Algebraic number theory --- Galois theory --- 512.623.3 --- Equations, Theory of --- Group theory --- Number theory --- Homological algebra --- Algebra, Abstract --- Homology theory --- 512.623.3 General Galois theory --- General Galois theory

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Number theory. --- Probabilistic number theory.

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Thisvolumecontainsthecollectedcontributionsofthreeconferences,AISC2010, Calculemus 2010 and MKM 2010. AISC 2010 was the 10th International C- ference on Arti?cial Intelligence and symbolic computation. Its area of concern is the use of AI techniques within symbolic computation as well as the appli- tion of symbolic computation to AI problem solving. Calculemus 2010 was the 17th Symposium on the Integration of Symbolic Computation and Mechanised Reasoning, dedicated to the combination of computer algebra systems and - tomated deduction systems. MKM 2010 was the 9th International Conference on Mathematical KnowledgeManagement, an emerging interdisciplinary?eld of research in the intersection of mathematics, computer science, library science, andscienti?cpublishing. Allthreeconferencesarethusconcernedwithproviding intelligent computer mathematics. Although the conferences have separate c- munities and separate foci, there is a signi?cant overlap of interest in building systems for intelligent computer mathematics. As in 2008 and 2009,the three events were colocated. In 2010 this was at the Conservatoire National des Arts et M´ etiers (CNAM), Paris, France, under the umbrellaoftheConferencesonIntelligentComputerMathematics(CICM2010), organized by Renaud Rioboo and Laurence Rideau. This collocation is intended to counteract the tendency towards fragmentation of communities working on di?erent aspects of various independent branchesof our general?eld; traditional branches (e. g. , computer algebra, theorem proving and arti?cial intelligence in general), as well as newly emerging ones (on user interfaces, knowledge mana- ment, theory exploration, etc. ). This also facilitates the development of systems for intelligent computer mathematics that will be routinely used by mathema- cians, computer scientists and engineers in their every-day work.

Algebra --- Artificial intelligence. Robotics. Simulation. Graphics --- algebra --- KI (kunstmatige intelligentie)