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About this product
- Author(s)Marlow Anderson,Todd Feil
- PublisherApple Academic Press Inc.
- Date of Publication18/12/2014
- FormatMixed media product
- GenreScience & Mathematics: Textbooks & Study Guides
- Place of PublicationOakville
- Country of PublicationCanada
- ImprintApple Academic Press Inc.
- Content Note40 black & white illustrations
- Weight1133 g
- Width178 mm
- Height254 mm
- Spine30 mm
- Contained items statementContains Book and Other digital
- Format DetailsUnsewn / adhesive bound
- Edition Statement3rd Revised edition
- Table Of ContentsNumbers, Polynomials, and Factoring The Natural Numbers The Integers Modular Arithmetic Polynomials with Rational Coefficients Factorization of Polynomials Section I in a Nutshell Rings, Domains, and Fields Rings Subrings and Unity Integral Domains and Fields Ideals Polynomials over a Field Section II in a Nutshell Ring Homomorphisms and Ideals Ring Homomorphisms The Kernel Rings of Cosets The Isomorphism Theorem for Rings Maximal and Prime Ideals The Chinese Remainder Theorem Section III in a Nutshell Groups Symmetries of Geometric Figures Permutations Abstract Groups Subgroups Cyclic Groups Section IV in a Nutshell Group Homomorphisms Group Homomorphisms Structure and Representation Cosets and Lagrange's Theorem Groups of Cosets The Isomorphism Theorem for Groups Section V in a Nutshell Topics from Group Theory The Alternating Groups Sylow Theory: The Preliminaries Sylow Theory: The Theorems Solvable Groups Section VI in a Nutshell Unique Factorization Quadratic Extensions of the Integers Factorization Unique Factorization Polynomials with Integer Coefficients Euclidean Domains Section VII in a Nutshell Constructibility Problems Constructions with Compass and Straightedge Constructibility and Quadratic Field Extensions The Impossibility of Certain Constructions Section VIII in a Nutshell Vector Spaces and Field Extensions Vector Spaces I Vector Spaces II Field Extensions and Kronecker's Theorem Algebraic Field Extensions Finite Extensions and Constructibility Revisited Section IX in a Nutshell Galois Theory The Splitting Field Finite Fields Galois Groups The Fundamental Theorem of Galois Theory Solving Polynomials by Radicals Section X in a Nutshell Hints and Solutions Guide to Notation Index
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