A01=Paul B. Garrett
Abelian Groups
abstract algebra
advanced algebraic structures textbook
algebraic
Algebraic Closure
Author_Paul B. Garrett
bilinear forms
Category=PBF
closure
commutative
Commutative Ring
cyclotomic
Cyclotomic Polynomial
Dirichlet primes
Eisenstein's Criterion
Eisenstein’s Criterion
Elementary Divisors
Elementary Symmetric Polynomials
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
field
finite
Finite Dimensional Vector Spaces
Finite Field
finite field theory
Galois Group
Galois theory
groups
independence
integers
Integral Domain
Irreducible Polynomials
linear
Linear Factor
Linear Independence
mapping property
minimal
Minimal Polynomial
modules
multilinear algebra
paul garrett
polynomial
Polynomial Ring
Primitive Cube Root
Primitive Nth Root
Primitive Pth Root
Principal Ideal Domains
quadratic reciprocity
Quotient Map
ring
Ring Homomorphism
rings
spectral theorem
Unique Factorization Domain
Universal Mapping Property
universal property
Vector Space
Product details
- ISBN 9781584886891
- Weight: 1020g
- Dimensions: 178 x 254mm
- Publication Date: 25 Sep 2007
- Publisher: Taylor & Francis Inc
- Publication City/Country: US
- Product Form: Hardback
Secure
checkout
Fast Shipping
Easy returns
Designed for an advanced undergraduate- or graduate-level course, Abstract Algebra provides an example-oriented, less heavily symbolic approach to abstract algebra. The text emphasizes specifics such as basic number theory, polynomials, finite fields, as well as linear and multilinear algebra. This classroom-tested, how-to manual takes a more narrative approach than the stiff formalism of many other textbooks, presenting coherent storylines to convey crucial ideas in a student-friendly, accessible manner. An unusual feature of the text is the systematic characterization of objects by universal mapping properties, rather than by constructions whose technical details are irrelevant.
Addresses Common Curricular Weaknesses
In addition to standard introductory material on the subject, such as Lagrange's and Sylow's theorems in group theory, the text provides important specific illustrations of general theory, discussing in detail finite fields, cyclotomic polynomials, and cyclotomic fields. The book also focuses on broader background, including brief but representative discussions of naive set theory and equivalents of the axiom of choice, quadratic reciprocity, Dirichlet's theorem on primes in arithmetic progressions, and some basic complex analysis. Numerous worked examples and exercises throughout facilitate a thorough understanding of the material.
Garrett, Paul B.
