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390 pages, v.4 June 15, 2009 and 360 pages, June 14th 2009, v.03 Updated Preprints

Abstract:

A contributed book: overview of Algebraic Logic, Categorical Logic, Algebraic Geometry, Algebraic Topology, Category Theory and Higher Dimensional Algebra. An extensive mathematics reference list and Glossary of terms are also included. ==Table of Contents:== =========================================================== Algebraic Logic, Algebraic Geometry and Algebraic Topology Algebraic Logic and Many--Valued Logic Algebraic logic Boolean logic \L{}ukasiewicz logic Multi-valued logic--Many--valued Logic MV--logic Intuitionistic logic Mathematical logic Heyting arithmetic Symbolic logic Metatheory Metalogic Abstract Algebra Abstract algebra Universal algebra Heyting algebra MV--algebra Group algebra Hopf algebra Grassmann algebra Clifford algebra Supergroups Superalgebra Algebroids Algebraic Geometry Algebraic geometry List of algebraic geometry topics Duality (projective geometry) Universal algebraic geometry Motive (algebraic geometry) Grothendieck--Hirzebruch--Riemann--Roch theorem Coherent sheaf--Coherent Cohomology Grothendieck topology Crystalline cohomology De Rham cohomology Algebraic geometry and analytic geometry Differential Geometry and Complex Analysis Differentiable manifolds Complex manifolds List of complex analysis topics Morera's theorem Clifford analysis Clifford algebra Riemannian manifolds CR manifold--Cauchy--Riemann Manifolds Cauchy--Riemann equations Algebraic Topology, Group Theory and Groupoids Algebraic topology Groupoid Group theory Cayley's theorem Abelian group Galois group Grothendieck group Esquisse d'un Programme--Galois Groupoids Galois theory Grothendieck's Galois theory Galois cohomology Homological algebra Homology theory Homotopical algebra Algebraic K-theory Cohomology theory K-theory Topological K-theory Category Theories Category theory Category Glossary of category theory Dual (category theory) Abelian category Functors Yoneda lemma Limit (category theory)Limits Adjoint functors Natural transformations Algebraic category-Algebraic categories Domain theory Enriched category theory Topos Descent (category 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

Rights:

Open access: GNU License http://en.wikipedia.org/wiki/User:Bci2/Books/Algebra http://en.wikipedia.org/w/index.php?title=Special:Book/download/&collection_id=a2c1f558583bfd6d&writer=rl&return_to=User%3ABci2%2FBooks%2FAlgebra 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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