Exercises on Galois Theory
$begingroup$
I need a source for exercises on classical Galois Theory, or to be more specific, Galois extensions of finite fields and the rationals as well as applications (solvability by radicals, for example).
So far, I have worked with Tignol's "Galois Theory of Algebraic Equations". Any additional suggestions would be appreciated, whether it is a textbook or a website, but the language should be English. Solutions are welcome, but no necessity.
Thanks in advance!
abstract-algebra reference-request galois-theory book-recommendation online-resources
edited Dec 18 '14 at 8:14
Martin Sleziak
44.7k10118272
asked Jul 25 '11 at 13:28
Clifford B.Clifford B.
8814
$endgroup$
add a comment |
$begingroup$
I need a source for exercises on classical Galois Theory, or to be more specific, Galois extensions of finite fields and the rationals as well as applications (solvability by radicals, for example).
So far, I have worked with Tignol's "Galois Theory of Algebraic Equations". Any additional suggestions would be appreciated, whether it is a textbook or a website, but the language should be English. Solutions are welcome, but no necessity.
Thanks in advance!
abstract-algebra reference-request galois-theory book-recommendation online-resources
edited Dec 18 '14 at 8:14
Martin Sleziak
44.7k10118272
asked Jul 25 '11 at 13:28
Clifford B.Clifford B.
8814
$endgroup$
add a comment |
$begingroup$
I need a source for exercises on classical Galois Theory, or to be more specific, Galois extensions of finite fields and the rationals as well as applications (solvability by radicals, for example).
So far, I have worked with Tignol's "Galois Theory of Algebraic Equations". Any additional suggestions would be appreciated, whether it is a textbook or a website, but the language should be English. Solutions are welcome, but no necessity.
Thanks in advance!
abstract-algebra reference-request galois-theory book-recommendation online-resources
edited Dec 18 '14 at 8:14
Martin Sleziak
44.7k10118272
asked Jul 25 '11 at 13:28
Clifford B.Clifford B.
8814
$endgroup$
I need a source for exercises on classical Galois Theory, or to be more specific, Galois extensions of finite fields and the rationals as well as applications (solvability by radicals, for example).
So far, I have worked with Tignol's "Galois Theory of Algebraic Equations". Any additional suggestions would be appreciated, whether it is a textbook or a website, but the language should be English. Solutions are welcome, but no necessity.
Thanks in advance!
abstract-algebra reference-request galois-theory book-recommendation online-resources
abstract-algebra reference-request galois-theory book-recommendation online-resources
edited Dec 18 '14 at 8:14
Martin Sleziak
44.7k10118272
asked Jul 25 '11 at 13:28
Clifford B.Clifford B.
8814
edited Dec 18 '14 at 8:14
Martin Sleziak
44.7k10118272
asked Jul 25 '11 at 13:28
Clifford B.Clifford B.
8814
edited Dec 18 '14 at 8:14
Martin Sleziak
44.7k10118272
edited Dec 18 '14 at 8:14
Martin Sleziak
44.7k10118272
edited Dec 18 '14 at 8:14
Martin Sleziak
44.7k10118272
44.7k10118272
asked Jul 25 '11 at 13:28
Clifford B.Clifford B.
8814
asked Jul 25 '11 at 13:28
Clifford B.Clifford B.
8814
asked Jul 25 '11 at 13:28
Clifford B.Clifford B.
8814
8814
add a comment |
add a comment |
4 Answers
4
active
oldest
votes
$begingroup$
I really like the exercises in Lang's Algebra. There's a little bit of everything in there.
Milne's notes have exercises at the end of every chapter, a chapter of review exercises, and a two-hour exam; solutions (or at least hints) for all of these are given at the end. A lot of the action takes place over $mathbf Q$, but I saw a fair number of questions about finite fields and they seemed good.
Keith Conrad's handouts don't have a lot of exercises, but when I had to review this stuff I found it helpful to look at the statements of his examples, try them for myself, and then read his methods. There are usually myriad ways to solve exercises in this area.
Teruyoshi Yoshida has fun example sheets, in addition to complete course notes.
answered Jul 25 '11 at 15:13
Dylan MorelandDylan Moreland
16.9k23564
$endgroup$
$begingroup$
Thanks to you, too; I wanted to get Lang's book as a reference, but I'll take a look at the exercises as well.
$endgroup$
– Clifford B.
Jul 25 '11 at 15:46
$begingroup$
No problem! Lang's book is divisive, but it can teach you a lot, and the field theory chapters are probably its best; George Bergman's companion to the book could be useful as well.
$endgroup$
– Dylan Moreland
Jul 25 '11 at 15:54
add a comment |
$begingroup$
Try these books:
- Classical Galois Theory with Examples
- Exploratory Galois Theory
- Galois Theory for Beginners: A Historical Perspective
answered Jul 25 '11 at 13:42
lhflhf
165k10171396
$endgroup$
$begingroup$
Thanks, I will check them out as soon as possible.
$endgroup$
– Clifford B.
Jul 25 '11 at 14:00
add a comment |
$begingroup$
Many pages of exercises at J K Verma's website, here.
answered Aug 13 '14 at 4:46
Gerry MyersonGerry Myerson
147k8147299
$endgroup$
add a comment |
$begingroup$
Have you tried working out through
(I) Abstract Algebra by dummit Foote
(II)Field and Galois theory by Patrick Morandi
Both of these books are rich with exercise problem and he questions are very diverse. I would recommend you to go through this as it helped me tremendously
answered Jan 7 at 18:54
user631697user631697
132
$endgroup$
add a comment |
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4 Answers
4
active
oldest
votes
4 Answers
4
active
oldest
votes
active
oldest
votes
active
oldest
votes
$begingroup$
I really like the exercises in Lang's Algebra. There's a little bit of everything in there.
Milne's notes have exercises at the end of every chapter, a chapter of review exercises, and a two-hour exam; solutions (or at least hints) for all of these are given at the end. A lot of the action takes place over $mathbf Q$, but I saw a fair number of questions about finite fields and they seemed good.
Keith Conrad's handouts don't have a lot of exercises, but when I had to review this stuff I found it helpful to look at the statements of his examples, try them for myself, and then read his methods. There are usually myriad ways to solve exercises in this area.
Teruyoshi Yoshida has fun example sheets, in addition to complete course notes.
answered Jul 25 '11 at 15:13
Dylan MorelandDylan Moreland
16.9k23564
$endgroup$
$begingroup$
Thanks to you, too; I wanted to get Lang's book as a reference, but I'll take a look at the exercises as well.
$endgroup$
– Clifford B.
Jul 25 '11 at 15:46
$begingroup$
No problem! Lang's book is divisive, but it can teach you a lot, and the field theory chapters are probably its best; George Bergman's companion to the book could be useful as well.
$endgroup$
– Dylan Moreland
Jul 25 '11 at 15:54
add a comment |
$begingroup$
I really like the exercises in Lang's Algebra. There's a little bit of everything in there.
Milne's notes have exercises at the end of every chapter, a chapter of review exercises, and a two-hour exam; solutions (or at least hints) for all of these are given at the end. A lot of the action takes place over $mathbf Q$, but I saw a fair number of questions about finite fields and they seemed good.
Keith Conrad's handouts don't have a lot of exercises, but when I had to review this stuff I found it helpful to look at the statements of his examples, try them for myself, and then read his methods. There are usually myriad ways to solve exercises in this area.
Teruyoshi Yoshida has fun example sheets, in addition to complete course notes.
answered Jul 25 '11 at 15:13
Dylan MorelandDylan Moreland
16.9k23564
$endgroup$
$begingroup$
Thanks to you, too; I wanted to get Lang's book as a reference, but I'll take a look at the exercises as well.
$endgroup$
– Clifford B.
Jul 25 '11 at 15:46
$begingroup$
No problem! Lang's book is divisive, but it can teach you a lot, and the field theory chapters are probably its best; George Bergman's companion to the book could be useful as well.
$endgroup$
– Dylan Moreland
Jul 25 '11 at 15:54
add a comment |
$begingroup$
I really like the exercises in Lang's Algebra. There's a little bit of everything in there.
Milne's notes have exercises at the end of every chapter, a chapter of review exercises, and a two-hour exam; solutions (or at least hints) for all of these are given at the end. A lot of the action takes place over $mathbf Q$, but I saw a fair number of questions about finite fields and they seemed good.
Keith Conrad's handouts don't have a lot of exercises, but when I had to review this stuff I found it helpful to look at the statements of his examples, try them for myself, and then read his methods. There are usually myriad ways to solve exercises in this area.
Teruyoshi Yoshida has fun example sheets, in addition to complete course notes.
answered Jul 25 '11 at 15:13
Dylan MorelandDylan Moreland
16.9k23564
$endgroup$
I really like the exercises in Lang's Algebra. There's a little bit of everything in there.
Milne's notes have exercises at the end of every chapter, a chapter of review exercises, and a two-hour exam; solutions (or at least hints) for all of these are given at the end. A lot of the action takes place over $mathbf Q$, but I saw a fair number of questions about finite fields and they seemed good.
Keith Conrad's handouts don't have a lot of exercises, but when I had to review this stuff I found it helpful to look at the statements of his examples, try them for myself, and then read his methods. There are usually myriad ways to solve exercises in this area.
Teruyoshi Yoshida has fun example sheets, in addition to complete course notes.
answered Jul 25 '11 at 15:13
Dylan MorelandDylan Moreland
16.9k23564
answered Jul 25 '11 at 15:13
Dylan MorelandDylan Moreland
16.9k23564
answered Jul 25 '11 at 15:13
Dylan MorelandDylan Moreland
16.9k23564
answered Jul 25 '11 at 15:13
Dylan MorelandDylan Moreland
16.9k23564
16.9k23564
$begingroup$
Thanks to you, too; I wanted to get Lang's book as a reference, but I'll take a look at the exercises as well.
$endgroup$
– Clifford B.
Jul 25 '11 at 15:46
$begingroup$
No problem! Lang's book is divisive, but it can teach you a lot, and the field theory chapters are probably its best; George Bergman's companion to the book could be useful as well.
$endgroup$
– Dylan Moreland
Jul 25 '11 at 15:54
add a comment |
$begingroup$
Thanks to you, too; I wanted to get Lang's book as a reference, but I'll take a look at the exercises as well.
$endgroup$
– Clifford B.
Jul 25 '11 at 15:46
$begingroup$
No problem! Lang's book is divisive, but it can teach you a lot, and the field theory chapters are probably its best; George Bergman's companion to the book could be useful as well.
$endgroup$
– Dylan Moreland
Jul 25 '11 at 15:54
$begingroup$
Thanks to you, too; I wanted to get Lang's book as a reference, but I'll take a look at the exercises as well.
$endgroup$
– Clifford B.
Jul 25 '11 at 15:46
$begingroup$
Thanks to you, too; I wanted to get Lang's book as a reference, but I'll take a look at the exercises as well.
$endgroup$
– Clifford B.
Jul 25 '11 at 15:46
$begingroup$
No problem! Lang's book is divisive, but it can teach you a lot, and the field theory chapters are probably its best; George Bergman's companion to the book could be useful as well.
$endgroup$
– Dylan Moreland
Jul 25 '11 at 15:54
$begingroup$
No problem! Lang's book is divisive, but it can teach you a lot, and the field theory chapters are probably its best; George Bergman's companion to the book could be useful as well.
$endgroup$
– Dylan Moreland
Jul 25 '11 at 15:54
add a comment |
$begingroup$
Try these books:
- Classical Galois Theory with Examples
- Exploratory Galois Theory
- Galois Theory for Beginners: A Historical Perspective
answered Jul 25 '11 at 13:42
lhflhf
165k10171396
$endgroup$
$begingroup$
Thanks, I will check them out as soon as possible.
$endgroup$
– Clifford B.
Jul 25 '11 at 14:00
add a comment |
$begingroup$
Try these books:
- Classical Galois Theory with Examples
- Exploratory Galois Theory
- Galois Theory for Beginners: A Historical Perspective
answered Jul 25 '11 at 13:42
lhflhf
165k10171396
$endgroup$
$begingroup$
Thanks, I will check them out as soon as possible.
$endgroup$
– Clifford B.
Jul 25 '11 at 14:00
add a comment |
$begingroup$
Try these books:
- Classical Galois Theory with Examples
- Exploratory Galois Theory
- Galois Theory for Beginners: A Historical Perspective
answered Jul 25 '11 at 13:42
lhflhf
165k10171396
$endgroup$
Try these books:
- Classical Galois Theory with Examples
- Exploratory Galois Theory
- Galois Theory for Beginners: A Historical Perspective
answered Jul 25 '11 at 13:42
lhflhf
165k10171396
edited Aug 3 '17 at 1:26
answered Jul 25 '11 at 13:42
lhflhf
165k10171396
answered Jul 25 '11 at 13:42
lhflhf
165k10171396
answered Jul 25 '11 at 13:42
lhflhf
165k10171396
165k10171396
$begingroup$
Thanks, I will check them out as soon as possible.
$endgroup$
– Clifford B.
Jul 25 '11 at 14:00
add a comment |
$begingroup$
Thanks, I will check them out as soon as possible.
$endgroup$
– Clifford B.
Jul 25 '11 at 14:00
$begingroup$
Thanks, I will check them out as soon as possible.
$endgroup$
– Clifford B.
Jul 25 '11 at 14:00
$begingroup$
Thanks, I will check them out as soon as possible.
$endgroup$
– Clifford B.
Jul 25 '11 at 14:00
add a comment |
$begingroup$
Many pages of exercises at J K Verma's website, here.
answered Aug 13 '14 at 4:46
Gerry MyersonGerry Myerson
147k8147299
$endgroup$
add a comment |
$begingroup$
Many pages of exercises at J K Verma's website, here.
answered Aug 13 '14 at 4:46
Gerry MyersonGerry Myerson
147k8147299
$endgroup$
add a comment |
$begingroup$
Many pages of exercises at J K Verma's website, here.
answered Aug 13 '14 at 4:46
Gerry MyersonGerry Myerson
147k8147299
$endgroup$
Many pages of exercises at J K Verma's website, here.
answered Aug 13 '14 at 4:46
Gerry MyersonGerry Myerson
147k8147299
answered Aug 13 '14 at 4:46
Gerry MyersonGerry Myerson
147k8147299
answered Aug 13 '14 at 4:46
Gerry MyersonGerry Myerson
147k8147299
answered Aug 13 '14 at 4:46
Gerry MyersonGerry Myerson
147k8147299
147k8147299
add a comment |
add a comment |
$begingroup$
Have you tried working out through
(I) Abstract Algebra by dummit Foote
(II)Field and Galois theory by Patrick Morandi
Both of these books are rich with exercise problem and he questions are very diverse. I would recommend you to go through this as it helped me tremendously
answered Jan 7 at 18:54
user631697user631697
132
$endgroup$
add a comment |
$begingroup$
Have you tried working out through
(I) Abstract Algebra by dummit Foote
(II)Field and Galois theory by Patrick Morandi
Both of these books are rich with exercise problem and he questions are very diverse. I would recommend you to go through this as it helped me tremendously
answered Jan 7 at 18:54
user631697user631697
132
$endgroup$
add a comment |
$begingroup$
Have you tried working out through
(I) Abstract Algebra by dummit Foote
(II)Field and Galois theory by Patrick Morandi
Both of these books are rich with exercise problem and he questions are very diverse. I would recommend you to go through this as it helped me tremendously
answered Jan 7 at 18:54
user631697user631697
132
$endgroup$
Have you tried working out through
(I) Abstract Algebra by dummit Foote
(II)Field and Galois theory by Patrick Morandi
Both of these books are rich with exercise problem and he questions are very diverse. I would recommend you to go through this as it helped me tremendously
answered Jan 7 at 18:54
user631697user631697
132
answered Jan 7 at 18:54
user631697user631697
132
answered Jan 7 at 18:54
user631697user631697
132
answered Jan 7 at 18:54
user631697user631697
132
132
add a comment |
add a comment |
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