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008 081021s1994 nyua |b 001 0 eng d
020 _a0824791592 (v. 2 : acidfree paper)
039 9 _a202301231306
_bshakra
_c201402040048
_dVLOAD
_c201010020825
_dmalmash
_c200811290934
_dmalmash
_y200810211136
_zvenkatrajand
050 0 0 _aQA162
_b.S66 1994
100 1 _aSpindler, Karlheinz,
_d1960-
_9945
245 1 0 _aAbstract algebra with applications :
_bin two volumes /
_cKarlheinz Spindler.
260 _aNew York :
_bM. Dekker,
_cc1994.
300 _a2 v. :
_bill. ;
_c26 cm.
504 _aIncludes bibliographical references and indexes.
505 _aRings And Fields Introduction: The Art of Doing Arithmetic Rings and Ring Homomorphisms Integral Domains and Fields Polynomial and Power Series Rings Ideals and Quotient Rings Ideals in Commutative Rings Factorization in Integral Domains Factorization in Polynomial and Power Series Rings Number-Theoretical Applications of Unique Factorization Modules Noetherian Rings Field Extensions Splitting Fields and Normal Extensions Separability of Field Extensions Field Theory and Integral Ring Extensions Affine Algebras Ring Theory and Algebraic Geometry Localization Factorization of Ideals Introduction to Galois Theory: Solving Polynomial Equations The Galois Group of a Field Extension Algebraic Galois Extensions The Galois Group of a Polynomial Roots of Unity and Cyclotomic Polynomials Pure Equations and Cyclic Extensions Solvable Equations and Radical Extensions Epilogue: The Idea of Lie Theory as a Galois Theory for Differential Equations Bibliography
520 _aThis is a comprehensive presentation of abstract algebra and an in-depth treatment of the applications of algebraic techniques and the relationship of algebra to other disciplines, such as number theory, combinatorics, geometry, topology, differential equations, and Markov chains.
650 0 _aAlgebra, Abstract.
_9946
650 0 _av. 2. Rings and fields.
_949045
942 _2lcc
_n0
_cBK
999 _c23135
_d23135