# Algebra Undergraduate Algebra by Lang

## For those who have used this book

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4. ### Strongly don't Recommend

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1. Jan 24, 2013

### micromass

Staff Emeritus

Code (Text):

[LIST]
[*] Foreword
[*] The Integers
[LIST]
[*] Terminology of Sets
[*] Basic Properties
[*] Greatest Common Divisor
[*] Unique Factorization
[*] Equivalence Relations and Congruences
[/LIST]
[*] Groups
[LIST]
[*] Groups and Examples
[*] Mappings
[*] Homomorphisms
[*] Cosets and Normal Subgroups
[*] Application to Cyclic Groups
[*] Permutation Groups
[*] Finite Abelian Groups
[*] Operation of a Group on a Set
[*] Sylow Subgroups
[/LIST]
[*] Rings
[LIST]
[*] Rings
[*] Ideals
[*] Homomorphisms
[*] Quotient Fields
[/LIST]
[*] Polynomials
[LIST]
[*] Polynomials and Polynomial Functions
[*] Greatest Common Divisor
[*] Unique Factorization
[*] Partial Fractions
[*] Polynomials Over Rings and Over the Integers
[*] Principal Rings and Factorial Rings
[*] Polynomials in Several Variables
[*] Symmetric Polynomials
[*] The Mason-Stothers Theorem
[*] The abc Conjecture
[/LIST]
[*] Vector Spaces and Modules
[LIST]
[*] Vector Spaces and Bases
[*] Dimension of a Vector Space
[*] Matrices and Linear Maps
[*] Modules
[*] Factor Modules
[*] Free Abelian Groups
[*] Modules over Principal Rings
[*] Eigenvectors and Eigenvalues
[*] Polynomials of Matrices and Linear Maps
[/LIST]
[*] Some Linear Groups
[LIST]
[*] The General Linear Group
[*] Structure of GL_2(F)
[*] SL_2(F)
[*] SL_n(R) and SL_n(C) Iwasawa Decompositions
[*] Other Decompositions
[*] The Conjugation Action
[/LIST]
[*] Field Theory
[LIST]
[*] Algebraic Extensions
[*] Embeddings
[*] Splitting Fields
[*] Galois Theory
[*] Quadratic and Cubic Extensions
[*] Solvability by Radicals
[*] Infinite Extensions
[/LIST]
[*] Finite Fields
[LIST]
[*] General Structure
[*] The Frobenius Automorphism
[*] The Primitive Elements
[*] Splitting Field and Algebraic Closure
[*] Irreducibility of the Cyclotomic Polynomials Over Q
[*] Where Does It All Go? Or Rather, Where Does Some of It Go?
[/LIST]
[*] The Real and Complex Numbers
[LIST]
[*] Ordering of Rings
[*] Preliminaries
[*] Construction of the Real Numbers
[*] Decimal Expansions
[*] The Complex Numbers
[/LIST]
[*] Sets
[LIST]
[*] More Terminology
[*] Zorn's Lemma
[*] Cardinal Numbers
[*] Well-ordering
[/LIST]
[*] Appendix
[LIST]
[*] The Natural Numbers
[*] The Integers
[*] Infinite Sets
[/LIST]
[*] Index
[/LIST]

Last edited by a moderator: May 6, 2017