Notes by Albert A. Blank
| Softcover ISBN: | 978-0-8218-4129-7 |
| Product Code: | CLN/15 |
| List Price: | $34.00 |
| MAA Member Price: | $30.60 |
| AMS Member Price: | $27.20 |
| eBook ISBN: | 978-1-4704-3115-0 |
| Product Code: | CLN/15.E |
| List Price: | $32.00 |
| MAA Member Price: | $28.80 |
| AMS Member Price: | $25.60 |
| Softcover ISBN: | 978-0-8218-4129-7 |
| eBook: ISBN: | 978-1-4704-3115-0 |
| 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 |
Notes by Albert A. Blank
| Softcover ISBN: | 978-0-8218-4129-7 |
| Product Code: | CLN/15 |
| List Price: | $34.00 |
| MAA Member Price: | $30.60 |
| AMS Member Price: | $27.20 |
| eBook ISBN: | 978-1-4704-3115-0 |
| Product Code: | CLN/15.E |
| List Price: | $32.00 |
| MAA Member Price: | $28.80 |
| AMS Member Price: | $25.60 |
| Softcover ISBN: | 978-0-8218-4129-7 |
| eBook ISBN: | 978-1-4704-3115-0 |
| 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 |
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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.
Titles in this series are co-published with the Courant Institute of Mathematical Sciences at New York University.
ReadershipUndergraduate students interested in algebra.
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Table of Contents
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Chapters
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Chapter 1. Groups
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Chapter 2. Rings and fields
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Chapter 3. Polynomials. Factorization into primes. Ideals
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Chapter 4. Solution of the general equation of $n$th degree. Residue classes. Extension fields. Isomorphisms
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Chapter 5. Galois theory
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Chapter 6. Polynomials with integral coefficients
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Chapter 7. The theory of equations
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Additional Material
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Reviews
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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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RequestsReview Copy – for publishers of book reviewsAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Additional Material
- Reviews
- Requests
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.
Titles in this series are co-published with the Courant Institute of Mathematical Sciences at New York University.
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
