self-preparation for abstract algebra (not books) [closed]
I recently left my Applied Statistics program to pursue a master's in Pure Math. I also have an undergraduate degree in Statistics. However, I need to take an introduction course to Abstract Algebra.
I have about a month to prepare myself for it. I have a clearance to take it. I have only taken Discrete Math and Real Analysis (I and II).
We are using ABSTRACT ALGEBRA by Beachy.
What concepts, should I review? I will learn much of the material in the course but I would like to fill in any missing information that is crucial.
Thanks.
abstract-algebra number-theory
closed as off-topic by rschwieb, Dietrich Burde, amWhy, Paul Frost, egreg Dec 26 '18 at 23:50
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "Seeking personal advice. Questions about choosing a course, academic program, career path, etc. are off-topic. Such questions should be directed to those employed by the institution in question, or other qualified individuals who know your specific circumstances." – rschwieb, amWhy, Paul Frost, egreg
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I recently left my Applied Statistics program to pursue a master's in Pure Math. I also have an undergraduate degree in Statistics. However, I need to take an introduction course to Abstract Algebra.
I have about a month to prepare myself for it. I have a clearance to take it. I have only taken Discrete Math and Real Analysis (I and II).
We are using ABSTRACT ALGEBRA by Beachy.
What concepts, should I review? I will learn much of the material in the course but I would like to fill in any missing information that is crucial.
Thanks.
abstract-algebra number-theory
closed as off-topic by rschwieb, Dietrich Burde, amWhy, Paul Frost, egreg Dec 26 '18 at 23:50
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "Seeking personal advice. Questions about choosing a course, academic program, career path, etc. are off-topic. Such questions should be directed to those employed by the institution in question, or other qualified individuals who know your specific circumstances." – rschwieb, amWhy, Paul Frost, egreg
If this question can be reworded to fit the rules in the help center, please edit the question.
add a comment |
I recently left my Applied Statistics program to pursue a master's in Pure Math. I also have an undergraduate degree in Statistics. However, I need to take an introduction course to Abstract Algebra.
I have about a month to prepare myself for it. I have a clearance to take it. I have only taken Discrete Math and Real Analysis (I and II).
We are using ABSTRACT ALGEBRA by Beachy.
What concepts, should I review? I will learn much of the material in the course but I would like to fill in any missing information that is crucial.
Thanks.
abstract-algebra number-theory
I recently left my Applied Statistics program to pursue a master's in Pure Math. I also have an undergraduate degree in Statistics. However, I need to take an introduction course to Abstract Algebra.
I have about a month to prepare myself for it. I have a clearance to take it. I have only taken Discrete Math and Real Analysis (I and II).
We are using ABSTRACT ALGEBRA by Beachy.
What concepts, should I review? I will learn much of the material in the course but I would like to fill in any missing information that is crucial.
Thanks.
abstract-algebra number-theory
abstract-algebra number-theory
asked Dec 26 '18 at 18:12
pfmr1995
93
93
closed as off-topic by rschwieb, Dietrich Burde, amWhy, Paul Frost, egreg Dec 26 '18 at 23:50
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "Seeking personal advice. Questions about choosing a course, academic program, career path, etc. are off-topic. Such questions should be directed to those employed by the institution in question, or other qualified individuals who know your specific circumstances." – rschwieb, amWhy, Paul Frost, egreg
If this question can be reworded to fit the rules in the help center, please edit the question.
closed as off-topic by rschwieb, Dietrich Burde, amWhy, Paul Frost, egreg Dec 26 '18 at 23:50
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "Seeking personal advice. Questions about choosing a course, academic program, career path, etc. are off-topic. Such questions should be directed to those employed by the institution in question, or other qualified individuals who know your specific circumstances." – rschwieb, amWhy, Paul Frost, egreg
If this question can be reworded to fit the rules in the help center, please edit the question.
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Well, the book of Beachy (2006) is rather thin. It contains the rudimentary material. I suggest more group theory (Sylow theorems, Polya theory), fields (splitting field, straightedge and compass construction, finite fields), and modules (free, projective, semisimple).
Beachy has over 400 pages and includes material on Galois theory, so I'm not sure I'd describe it as thin. I think OP is asking how to prepare for this course, not how to go above and beyond what will be covered in the course.
– littleO
Dec 26 '18 at 18:32
I appreciate the info, I will be taking graduate level algebra after it. So good to know. But yeah, I also want prep lol.
– pfmr1995
Dec 26 '18 at 18:40
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1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
Well, the book of Beachy (2006) is rather thin. It contains the rudimentary material. I suggest more group theory (Sylow theorems, Polya theory), fields (splitting field, straightedge and compass construction, finite fields), and modules (free, projective, semisimple).
Beachy has over 400 pages and includes material on Galois theory, so I'm not sure I'd describe it as thin. I think OP is asking how to prepare for this course, not how to go above and beyond what will be covered in the course.
– littleO
Dec 26 '18 at 18:32
I appreciate the info, I will be taking graduate level algebra after it. So good to know. But yeah, I also want prep lol.
– pfmr1995
Dec 26 '18 at 18:40
add a comment |
Well, the book of Beachy (2006) is rather thin. It contains the rudimentary material. I suggest more group theory (Sylow theorems, Polya theory), fields (splitting field, straightedge and compass construction, finite fields), and modules (free, projective, semisimple).
Beachy has over 400 pages and includes material on Galois theory, so I'm not sure I'd describe it as thin. I think OP is asking how to prepare for this course, not how to go above and beyond what will be covered in the course.
– littleO
Dec 26 '18 at 18:32
I appreciate the info, I will be taking graduate level algebra after it. So good to know. But yeah, I also want prep lol.
– pfmr1995
Dec 26 '18 at 18:40
add a comment |
Well, the book of Beachy (2006) is rather thin. It contains the rudimentary material. I suggest more group theory (Sylow theorems, Polya theory), fields (splitting field, straightedge and compass construction, finite fields), and modules (free, projective, semisimple).
Well, the book of Beachy (2006) is rather thin. It contains the rudimentary material. I suggest more group theory (Sylow theorems, Polya theory), fields (splitting field, straightedge and compass construction, finite fields), and modules (free, projective, semisimple).
answered Dec 26 '18 at 18:20
Wuestenfux
3,5531411
3,5531411
Beachy has over 400 pages and includes material on Galois theory, so I'm not sure I'd describe it as thin. I think OP is asking how to prepare for this course, not how to go above and beyond what will be covered in the course.
– littleO
Dec 26 '18 at 18:32
I appreciate the info, I will be taking graduate level algebra after it. So good to know. But yeah, I also want prep lol.
– pfmr1995
Dec 26 '18 at 18:40
add a comment |
Beachy has over 400 pages and includes material on Galois theory, so I'm not sure I'd describe it as thin. I think OP is asking how to prepare for this course, not how to go above and beyond what will be covered in the course.
– littleO
Dec 26 '18 at 18:32
I appreciate the info, I will be taking graduate level algebra after it. So good to know. But yeah, I also want prep lol.
– pfmr1995
Dec 26 '18 at 18:40
Beachy has over 400 pages and includes material on Galois theory, so I'm not sure I'd describe it as thin. I think OP is asking how to prepare for this course, not how to go above and beyond what will be covered in the course.
– littleO
Dec 26 '18 at 18:32
Beachy has over 400 pages and includes material on Galois theory, so I'm not sure I'd describe it as thin. I think OP is asking how to prepare for this course, not how to go above and beyond what will be covered in the course.
– littleO
Dec 26 '18 at 18:32
I appreciate the info, I will be taking graduate level algebra after it. So good to know. But yeah, I also want prep lol.
– pfmr1995
Dec 26 '18 at 18:40
I appreciate the info, I will be taking graduate level algebra after it. So good to know. But yeah, I also want prep lol.
– pfmr1995
Dec 26 '18 at 18:40
add a comment |