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456pages, 10Mb, v.2. June 21, 2009; v.1:411 pages, 8 Mb free download PDF

Abstract:

Fundamentals of Quantum Logic, Algebraic Logic, Quantum Algebra and Quantum Computers in terms of Abelian and non-Abelian mathematical structures. =====Table of Contents========================================================== Quantum Logic, Algebraic Logic, Quantum Algebra and Quantum Computers [edit] Commutative and Non-Abelian Structures Algebraic Logic Boolean logic Lukasiewicz logic Intuitionistic logic Mathematical logic Heyting arithmetic Symbolic logic Metatheory Metalogic Quantum Logic Multi-valued logics MV-logics Quantum logics Quantum computers Abstract Algebra Abstract algebra Universal algebra Heyting algebra MV-algebra Group algebra Hopf algebra Grassmann algebra Clifford algebra Supergroups Superalgebra Algebroids Special Algebras, Operator Algebra and Quantum Algebra Quantum algebra Quantum affine algebra Clifford algebra Von Neumann algebra C*--algebra Lie algebra Lie group Affine Lie algebras Kac--Moody algebra Hopf algebra Quantum groups Affine quantum groups Group representations Unitary representations Representation theory of the Lorentz group Stone--von Neumann theorem Peter--Weyl theorem Quasi--Hopf algebra Quantum double construction Quasitriangular Hopf algebra Ribbon Hopf algebra Quasi-triangular Quasi-Hopf algebra Quantum inverse scattering method Grassmann algebra Supergroups Superalgebra Algebroids Yangians Noncommutative geometry Noncommutative quantum field theory Noncommutative standard model Algebraic Topology, Group Theory and Groupoids Algebraic topology Groupoid Group theory Abelian group Galois group Grothendieck group Cayley's theorem Esquisse d'un Programme Galois theory Grothendieck's Galois theory Galois cohomology Homological algebra Homology theory Homotopical algebra Cohomology theory K-theory Algebraic K-theory Topological K-theory Category Theories Category theory Category (mathematics) Glossary of category theory Dual (category theory) Abelian category Functors Yoneda lemma Limit (category theory)Limits Adjoint functors Natural transformations Algebraic category Domain theory Enriched category theory Topos Descent (category theory) Stack (descent theory) Categorical logic Timeline of category theory and related mathematics List of important publications in mathematics Higher Dimensional Algebras (HDA) Higher-dimensional algebra Higher category theory Duality (mathematics) Metamathematics http://en.wikipedia.org/wiki/User:Bci2/Books/Quantum_Logic_and_Quantum_Algebra

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Open access: GNU License http://en.wikipedia.org/wiki/User:Bci2/Books/Quantum_Algebra,_Logics,_Algebraic_Mathematics_and_Geometry http://en.wikipedia.org/w/index.php?title=Special:Book/download/&collection_id=5e2ad25214ff00d7&writer=rl&return_to=User%3ABci2%2FBooks%2FQuantum+Logic+and+Quantum+Algebra http://en.wikipedia.org/w/index.php?title=Special:Book/download/&collection_id=ee3f5c34a88058a4&writer=rl&return_to=User%3ABci2%2FBooks%2FQuantum+Logic+and+Quantum+Algebra Copyright@2009 Bci2 and bci1 Copyright Statement: Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version ;published by the Free Software Foundation, with no Invariant Sections, no Front-Cover Texts, and no Back- Cover Texts. A copy of the license is included in the section entitled "GNU Free Documentation License". Edited by Bci2, with all contributors listed before the License statement.

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