Algebra — Artin vs Hall & Knight

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I came across Algebra from Artin and Higher Algebra by Hall & Knight and even though they both have kind of same title I found them entirely different. H&S talks mostly of ratios, proportions and polynomial equations whereas Artin talks mostly in terms of Matrices, he talks even of Permutations in Matrices.

If both are Algebra then why they are so different ?

P.S I have just started self-study of Calculus, Linear Algebra, Statistics and Probability for my Data Science and Machine-Learning course. Artin looks much more modern and "in the context" of all these topics. (Topics in Algebra by Herstein too looks more modern and usable for me)

self-learning

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edited Jul 16 at 4:58

Parcly Taxel

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asked Jul 16 at 4:09

Arnuld

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• 
  
  
  

  
  

  
  
  
  
  
  

  
  They are about a hundred years apart....
  – Lord Shark the Unknown
  Jul 16 at 5:49
  

  
  
  
  

add a comment | 

up vote
0
down vote

favorite

I came across Algebra from Artin and Higher Algebra by Hall & Knight and even though they both have kind of same title I found them entirely different. H&S talks mostly of ratios, proportions and polynomial equations whereas Artin talks mostly in terms of Matrices, he talks even of Permutations in Matrices.

If both are Algebra then why they are so different ?

P.S I have just started self-study of Calculus, Linear Algebra, Statistics and Probability for my Data Science and Machine-Learning course. Artin looks much more modern and "in the context" of all these topics. (Topics in Algebra by Herstein too looks more modern and usable for me)

self-learning

share|cite|improve this question

edited Jul 16 at 4:58

Parcly Taxel

33.6k136588

asked Jul 16 at 4:09

Arnuld

4511

• 
  
  
  

  
  

  
  
  
  
  
  

  
  They are about a hundred years apart....
  – Lord Shark the Unknown
  Jul 16 at 5:49
  

  
  
  
  

add a comment | 

up vote
0
down vote

favorite

up vote
0
down vote

favorite

I came across Algebra from Artin and Higher Algebra by Hall & Knight and even though they both have kind of same title I found them entirely different. H&S talks mostly of ratios, proportions and polynomial equations whereas Artin talks mostly in terms of Matrices, he talks even of Permutations in Matrices.

If both are Algebra then why they are so different ?

P.S I have just started self-study of Calculus, Linear Algebra, Statistics and Probability for my Data Science and Machine-Learning course. Artin looks much more modern and "in the context" of all these topics. (Topics in Algebra by Herstein too looks more modern and usable for me)

self-learning

share|cite|improve this question

edited Jul 16 at 4:58

Parcly Taxel

33.6k136588

asked Jul 16 at 4:09

Arnuld

4511

I came across Algebra from Artin and Higher Algebra by Hall & Knight and even though they both have kind of same title I found them entirely different. H&S talks mostly of ratios, proportions and polynomial equations whereas Artin talks mostly in terms of Matrices, he talks even of Permutations in Matrices.

If both are Algebra then why they are so different ?

P.S I have just started self-study of Calculus, Linear Algebra, Statistics and Probability for my Data Science and Machine-Learning course. Artin looks much more modern and "in the context" of all these topics. (Topics in Algebra by Herstein too looks more modern and usable for me)

self-learning

share|cite|improve this question

edited Jul 16 at 4:58

Parcly Taxel

33.6k136588

asked Jul 16 at 4:09

Arnuld

4511

share|cite|improve this question

share|cite|improve this question

edited Jul 16 at 4:58

Parcly Taxel

33.6k136588

edited Jul 16 at 4:58

Parcly Taxel

33.6k136588

edited Jul 16 at 4:58

Parcly Taxel

33.6k136588

33.6k136588

asked Jul 16 at 4:09

Arnuld

4511

asked Jul 16 at 4:09

Arnuld

4511

asked Jul 16 at 4:09

Arnuld

4511

4511

• 
  
  
  

  
  

  
  
  
  
  
  

  
  They are about a hundred years apart....
  – Lord Shark the Unknown
  Jul 16 at 5:49
  

  
  
  
  

add a comment | 

• 
  
  
  

  
  

  
  
  
  
  
  

  
  They are about a hundred years apart....
  – Lord Shark the Unknown
  Jul 16 at 5:49
  

  
  
  
  

They are about a hundred years apart....
– Lord Shark the Unknown
Jul 16 at 5:49

They are about a hundred years apart....
– Lord Shark the Unknown
Jul 16 at 5:49

add a comment | 

1 Answer
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The word "algebra" bears different meanings in mathematics.
It can be high-school algebra, i.e., solving equations, manipulation of algebraic expressions etc.

It can also mean abstract algebra, i.e., dealing with algebraic structures like group, ring, field.

In Bourbaki's point of view, in modern mathematics, it is composed of analysis, algebra, and topology.

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answered Jul 16 at 4:57

Danny Pak-Keung Chan

1,87628

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1 Answer
1

active

oldest

votes

1 Answer
1

active

oldest

votes

active

oldest

votes

active

oldest

votes

up vote
1
down vote

The word "algebra" bears different meanings in mathematics.
It can be high-school algebra, i.e., solving equations, manipulation of algebraic expressions etc.

It can also mean abstract algebra, i.e., dealing with algebraic structures like group, ring, field.

In Bourbaki's point of view, in modern mathematics, it is composed of analysis, algebra, and topology.

share|cite|improve this answer

answered Jul 16 at 4:57

Danny Pak-Keung Chan

1,87628

add a comment | 

up vote
1
down vote

The word "algebra" bears different meanings in mathematics.
It can be high-school algebra, i.e., solving equations, manipulation of algebraic expressions etc.

It can also mean abstract algebra, i.e., dealing with algebraic structures like group, ring, field.

In Bourbaki's point of view, in modern mathematics, it is composed of analysis, algebra, and topology.

share|cite|improve this answer

answered Jul 16 at 4:57

Danny Pak-Keung Chan

1,87628

add a comment | 

up vote
1
down vote

up vote
1
down vote

The word "algebra" bears different meanings in mathematics.
It can be high-school algebra, i.e., solving equations, manipulation of algebraic expressions etc.

It can also mean abstract algebra, i.e., dealing with algebraic structures like group, ring, field.

In Bourbaki's point of view, in modern mathematics, it is composed of analysis, algebra, and topology.

share|cite|improve this answer

answered Jul 16 at 4:57

Danny Pak-Keung Chan

1,87628

The word "algebra" bears different meanings in mathematics.
It can be high-school algebra, i.e., solving equations, manipulation of algebraic expressions etc.

It can also mean abstract algebra, i.e., dealing with algebraic structures like group, ring, field.

In Bourbaki's point of view, in modern mathematics, it is composed of analysis, algebra, and topology.

share|cite|improve this answer

answered Jul 16 at 4:57

Danny Pak-Keung Chan

1,87628

share|cite|improve this answer

share|cite|improve this answer

answered Jul 16 at 4:57

Danny Pak-Keung Chan

1,87628

answered Jul 16 at 4:57

Danny Pak-Keung Chan

1,87628

answered Jul 16 at 4:57

Danny Pak-Keung Chan

1,87628

1,87628

add a comment | 

add a comment | 

 

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