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A Concrete Introduction to Higher Algebra

Overview of attention for book
Cover of 'A Concrete Introduction to Higher Algebra'

Table of Contents

  1. Altmetric Badge
    Book Overview
  2. Altmetric Badge
    Chapter 1 Numbers
  3. Altmetric Badge
    Chapter 2 Induction; the Binomial Theorem
  4. Altmetric Badge
    Chapter 3 Unique Factorization into Products of Primes
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    Chapter 4 Primes
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    Chapter 5 Bases
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    Chapter 6 Congruences
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    Chapter 7 Congruence Classes
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    Chapter 8 Rings and Fields
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    Chapter 9 Matrices and Vectors
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    Chapter 10 Secret Codes, I
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    Chapter 11 Fermat’s Theorem, I: Abelian Groups
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    Chapter 12 Repeating Decimals, I
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    Chapter 13 Error-correcting Codes, I
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    Chapter 14 The Chinese Remainder Theorem
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    Chapter 15 Secret Codes, II
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    Chapter 16 Polynomials
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    Chapter 17 Unique Factorization
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    Chapter 18 The Fundamental Theorem of Algebra
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    Chapter 19 Irreducible Polynomials in ℝ[ x ]
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    Chapter 20 Partial Fractions
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    Chapter 21 The Derivative of a Polynomial
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    Chapter 22 Sturm’s Algorithm
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    Chapter 23 Factoring in ℚ[ x ], I
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    Chapter 24 Congruences Modulo a Polynomial
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    Chapter 25 Fermat’s Theorem, II
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    Chapter 26 Factoring in ℚ[ x ], II: Lagrange Interpolation
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    Chapter 27 Factoring in ℤ p [ x ]
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    Chapter 28 Factoring in ℚ[ x ], III: mod M
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    Chapter 29 Primitive Elements
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    Chapter 30 Repeating Decimals, II
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    Chapter 31 Testing for Primeness
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    Chapter 32 Fourth Roots of One in ℤ p
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    Chapter 33 Telephone Cable Splicing
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    Chapter 34 Factoring in ℚ[ x ], IV: Bad Examples mod p
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    Chapter 35 Congruence Classes Modulo a Polynomial: Simple Field Extensions
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    Chapter 36 Polynomials and Roots
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    Chapter 37 Error-Correcting Codes, II
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    Chapter 38 Isomorphisms, I
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    Chapter 39 Finite Fields are Simple
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    Chapter 40 Latin Squares
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    Chapter 41 Irreducible Polynomials in ℤ p [ x ]
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    Chapter 42 Finite Fields
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    Chapter 43 The Discriminant and Stickelberger’s Theorem
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    Chapter 44 Quadratic Residues
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    Chapter 45 Duplicate Bridge Tournaments
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    Chapter 46 Algebraic Number Fields
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    Chapter 47 Isomorphisms, II
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    Chapter 48 Sums of Two Squares
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    Chapter 49 On Unique Factorization
Overall attention for this book and its chapters
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About this Attention Score

  • High Attention Score compared to outputs of the same age (84th percentile)

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Title
A Concrete Introduction to Higher Algebra
Published by
Undergraduate Texts in Mathematics, January 1979
DOI 10.1007/978-1-4684-0065-6
ISBNs
978-1-4684-0067-0, 978-1-4684-0065-6
Authors

Lindsay Childs, Childs, Lindsay

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Attention Score in Context

Attention Score in Context

This research output has an Altmetric Attention Score of 4. This is our high-level measure of the quality and quantity of online attention that it has received. This Attention Score, as well as the ranking and number of research outputs shown below, was calculated when the research output was last mentioned on 22 March 2023.
All research outputs
#8,082,128
of 25,992,468 outputs
Outputs from Undergraduate Texts in Mathematics
#1
of 1 outputs
Outputs of similar age
#4,048
of 26,608 outputs
Outputs of similar age from Undergraduate Texts in Mathematics
#1
of 1 outputs
Altmetric has tracked 25,992,468 research outputs across all sources so far. This one has received more attention than most of these and is in the 68th percentile.
So far Altmetric has tracked 1 research outputs from this source. They receive a mean Attention Score of 3.7. This one scored the same or higher as 0 of them.
Older research outputs will score higher simply because they've had more time to accumulate mentions. To account for age we can compare this Altmetric Attention Score to the 26,608 tracked outputs that were published within six weeks on either side of this one in any source. This one has done well, scoring higher than 84% of its contemporaries.
We're also able to compare this research output to 1 others from the same source and published within six weeks on either side of this one. This one has scored higher than all of them