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Softcover ISBN:  9780821841297 
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Softcover ISBN:  9780821841297 
Product Code:  CLN/15 
List Price:  $34.00 
MAA Member Price:  $30.60 
AMS Member Price:  $27.20 
eBook ISBN:  9781470431150 
Product Code:  CLN/15.E 
List Price:  $32.00 
MAA Member Price:  $28.80 
AMS Member Price:  $25.60 
Softcover ISBN:  9780821841297 
eBook ISBN:  9781470431150 
Product Code:  CLN/15.B 
List Price:  $66.00 $50.00 
MAA Member Price:  $59.40 $45.00 
AMS Member Price:  $52.80 $40.00 

Book DetailsCourant Lecture NotesVolume: 15; 2007; 126 ppMSC: Primary 12;
The present text was first published in 1947 by the Courant Institute of Mathematical Sciences of New York University. Published under the title Modern Higher Algebra. Galois Theory, it was based on lectures by Emil Artin and written by Albert A. Blank. This volume became one of the most popular in the series of lecture notes published by Courant. Many instructors used the book as a textbook, and it was popular among students as a supplementary text as well as a primary textbook. Because of its popularity, Courant has republished the volume under the new title Algebra with Galois Theory.
ReadershipUndergraduate students interested in algebra.

Table of Contents

Chapters

Chapter 1. Groups

Chapter 2. Rings and fields

Chapter 3. Polynomials. Factorization into primes. Ideals

Chapter 4. Solution of the general equation of $n$th degree. Residue classes. Extension fields. Isomorphisms

Chapter 5. Galois theory

Chapter 6. Polynomials with integral coefficients

Chapter 7. The theory of equations


Additional Material

Reviews

Artin's book is a gem...one of the most elegantly presented texts on Galois theory... In summary, this book is a valuable supplement for a course on Galois theory.
Mathematical Reviews 
It is still amazing to see how elegantly, masterly and comprehensibly Emil Artin taught such a topic like Galois theory sixty years ago. Using the modern framework of abstract algebra, presenting each argument in its simplest and purest form, and stripping the theory from any unnecessary ballast, he manages to teach the subject in an utmost accessible, inspiring and profound manner. Many contemporary textbooks on Galois theory need hundreds of pages to reach a comparable depth of exposition, alas with much less lucidity, elegance ,and paedagogical effect. This is why one can still learn from a grandmaster like Emil Artin, and why the present classic will maintain its everlasting significance also in the future.
Zentralblatt MATH


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The present text was first published in 1947 by the Courant Institute of Mathematical Sciences of New York University. Published under the title Modern Higher Algebra. Galois Theory, it was based on lectures by Emil Artin and written by Albert A. Blank. This volume became one of the most popular in the series of lecture notes published by Courant. Many instructors used the book as a textbook, and it was popular among students as a supplementary text as well as a primary textbook. Because of its popularity, Courant has republished the volume under the new title Algebra with Galois Theory.
Undergraduate students interested in algebra.

Chapters

Chapter 1. Groups

Chapter 2. Rings and fields

Chapter 3. Polynomials. Factorization into primes. Ideals

Chapter 4. Solution of the general equation of $n$th degree. Residue classes. Extension fields. Isomorphisms

Chapter 5. Galois theory

Chapter 6. Polynomials with integral coefficients

Chapter 7. The theory of equations

Artin's book is a gem...one of the most elegantly presented texts on Galois theory... In summary, this book is a valuable supplement for a course on Galois theory.
Mathematical Reviews 
It is still amazing to see how elegantly, masterly and comprehensibly Emil Artin taught such a topic like Galois theory sixty years ago. Using the modern framework of abstract algebra, presenting each argument in its simplest and purest form, and stripping the theory from any unnecessary ballast, he manages to teach the subject in an utmost accessible, inspiring and profound manner. Many contemporary textbooks on Galois theory need hundreds of pages to reach a comparable depth of exposition, alas with much less lucidity, elegance ,and paedagogical effect. This is why one can still learn from a grandmaster like Emil Artin, and why the present classic will maintain its everlasting significance also in the future.
Zentralblatt MATH