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:
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http://en.wikipedia.org/wiki/User:Bci2/Books/Quantum_Algebra,_Logics,_Algebraic_Mathematics_and_Geometry
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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.
