A Concrete Approach To Abstract Algebra
Contents
- What This Book Is About And Who This Book Is For
- Algebra
- Finding Roots Of Polynomials
- Existence Of Roots Of Polynomials
- Solving Linear Equations
- Geometry
- Ruler And Compass Constructions
- Trigonometry
- Rational Values Of Trigonometric Functions
- Precalculus
- Recognizing Polynomials Using Data
- Calculus
- Partial Fraction Decomposition
- Detecting Multiple Roots Of Polynomials
- Exercises For Chapter
- Proof And Intuition
- The Well Ordering Principle
- Proof By Contradiction
- Mathematical Induction
- Mathematical Induction—First Version
- Mathematical Induction—First Version Revisited
- Mathematical Induction—Second Version
- Exercises For Sections
- A Concrete Approach To Abstract Algebra
Functions And Binary Operations
- Exercises For Section
- The Integers
- Prime Numbers
- Unique Factorization
- Division Algorithm
- Exercises For Sections
- Greatest Common Divisors
- Euclidean Algorithm
- Exercises For Sections
- The Rational Numbers And The Real Numbers
- Rational Numbers
- Intermediate Value Theorem
- Exercises For Sections
- Equivalence Relations
- Exercises For Section
- The Complex Numbers
- Complex Numbers
- Fields And Commutative Rings
- Complex Conjugation
- Automorphisms And Roots Of Polynomials
- Groups Of Automorphisms Of Commutative Rings
- Exercises For Section
- A Concrete Approach To Abstract Algebra
The Fundamental Theorem Of Algebra
- Representing Real Numbers And Complex Numbers Geometrically
- Rectangular And Polar Form
- Demoivre’s Theorem And Roots Of Complex Numbers
- A Proof Of The Fundamental Theorem Of Algebra
- The Integers Modulo N
- Definitions And Basic Properties
- Zero Divisors And Invertible Elements
- The Euler Φ Function
- Polynomials With Coefficients In Zn
- Group Theory
- Definitions And Examples
- I Commutative Rings And Fields Under Addition
- II Invertible Elements In Commutative Rings Under Multiplication
- III Bijections Of Sets
- Exercises For Section
- Theorems Of Lagrange And Sylow
- Exercises For Section
- Solvable Groups
- Exercises For Section
- Symmetric Groups
- Exercises For Section
- Polynomials Over The Integers And Rationals
- Integral Domains And Homomorphisms Of Rings
- Exercises For Section
- A Concrete Approach To Abstract Algebra
Rational Root Test And Irreducible Polynomials
- Exercises For Section
- Gauss’ Lemma And Eisenstein’s Criterion
- Exercises For Section
- Reduction Modulo P
- Exercises For Section
- Roots Of Polynomials Of Degree Less Than
- Finding Roots Of Polynomials Of Small Degree
- A Brief Look At Some Consequences Of Galois’ Work
- Rational Values Of Trigonometric Functions
- Values Of Trigonometric Functions
- Exercises For Section
- A Concrete Approach To Abstract Algebra
- A Concrete Approach To Abstract Algebra Pdf
- What Is Abstract Algebra
- History Of Abstract Algebra
- Concrete And Abstract Ideas
- Algebra Abstract And Concrete
- Concrete Semi-Concrete And Abstract Math
- A Concrete Introduction To Higher Algebra
- Concrete To Abstract Math
- Concrete Representational Abstract (Cra) Approach
- A Concrete Approach To Abstract Algebra
Concrete Abstract Representational
- Concrete And Abstract Mathematics
- Abstract Algebra With A Concrete Introduction
- A Concrete Introduction To Higher Algebra Pdf
- J A Concrete
- Concrete Abstract Math
- Concrete To Abstract Learning
- Math Concrete To Abstract
- Math Concrete Representational Abstract
- Concrete Representational-Abstract Nctm
- Concrete Approach Meaning
- Concrete And Abstract Concept
- Concrete To Abstract Examples
- Abstract Algebra Examples
- Concrete To Abstract Meaning In Teaching
- From Concrete To Abstract Meaning
- The Concrete Tetrahedron
- Uconn Abstract Algebra
- Ucla Abstract Algebra
- Abstract Math Vs. Concrete Math
Concrete Abstract Representational Math
- Concrete Semi-Concrete And Abstract Math
- What Is A Concrete Representation In Math
- Concrete Approach Meaning
- Is Math A Concrete Subject
- Concrete To Abstract Math
- Concrete To Abstract Learning
- Concrete Abstract Math
- Concrete Abstract Representational
- Concrete Abstract Representational Math
- Concrete And Abstract Mathematics
- What Does Concrete To Abstract Mean
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Related Topics
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Advanced Concrete Technology Concrete Properties
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Advanced Concrete Technology
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Advanced Materials And Techniques For Reinforced Concrete Structures
