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/sci/ - Science & Math

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11287914 No.11287914 [Reply] [Original]

Taking abstract algebra for the first time this term
What am I in for?

>> No.11288085

Do yo practice problems. The human condition is a tragedy cuz.

>> No.11288091

Is this Artin?

>> No.11288101

>>11287914
the most mindlessly trivial drivel possible to force-feed a child

>> No.11288103

>>11288101
This is true for all math classes btw.

>> No.11288104

>>11288103
yes

>> No.11288418

>>11288101
Suck a penis

>> No.11288425

>>11287914
Is this Fraleigh?

>> No.11288478
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11288478

>>11288425
No, it isn't.

>> No.11288481 [DELETED] 
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11288481

>> No.11288562

>>11288091
Not the second nor first edition. OP must be using some pleb tier/for cs majors book.

>> No.11288940

Modern way of teaching algebra is absolutely AWFUL. You can thank the frog-eaters for completely butchering it in the name of some nebulous and pointless concept called abstraction. In my opinion, groups and other algebraic structures should be only introduced in their proper contexts, such as Galois theory or geometry.

>> No.11288947

Teaching students quotient groups by first telling them about normal subgroups and the gN=Ng criterion is BEGGING them to dislike the subject and move as far away from it as he can. Instead of the most intuitive way of teaching about quotients: as (equivalence) relations preserved under group operations, or equivalently as homomorphisms and kernels of homomorphisms, mathematics educators seek to CONFUSE the student and to show off how they're able to intuitively understand convoluted ideas while the student cannot.

>> No.11288950

What is a group? A group is a set of invertible transformations of an object.
Starting with the axioms only to get back this definition later on using Cayley's theorem is BACKWARDS and for TROGLODYTES.

>> No.11288954

>>11287914
A lot of notational tricks.

>> No.11288964

>>11288940
We had one class about nothing but group theory and learned when a group was "solvable group" but never the reason why they are called such.

>> No.11289489

>>11288964
>motivation for abstract teaching X left entirely unexplained
What's new?

>> No.11289579

I took an abstract math course a year ago right after seriously fucking up my arm and the homework sets required so much writing I literally wouldn't be able to use that arm the next day.

Really changes the way you approach math though

>> No.11289593
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11289593

>>11287914
>>11288940
>>11288964
>>11289489
>>11288947
I am reading Stillwell's Elements of Algebra right now and it's probably the most organic, interesting and well-motivated entry to algebra I have ever read, short of reading the classics. My sincere recommendation to everyone starting algebra, read this book. It's sort of like a "Galois Theory: Lite" book, in that it mostly solves on solvability of equations and field extensions, but along the way it introduces groups, rings, isomorphisms, quotient constructions and so on. Read it, you won't regret it

>> No.11289605

It’s really not that hard, it’s just that this heavy notation makes it seem difficult

>> No.11289609

>>11288418
*GRBGLRBGLRBGKRBGGRBBLBLBLB*
WHAT DO I DO NOW DADDY???

>> No.11289808

>>11287914
I dont know why but when I first read a group theory book I didnt clue into the idea that a group is one which satisfies those properties were * is ANY operation. So addition on natural numbers works

>> No.11289811

>>11288478
bruh you either live in China with all that smog or you live in China with a shit made in china phone

>> No.11290741

>>11289808
Addition on natural numbers isn't a group mate. No inverse.

>> No.11290914

>>11290741
>>11289808
should be integers, right?

>> No.11292008

>>11290741
pfft sure its 9

>> No.11292159

>>11290914
Yep, the integers are a group under addition.
>>11287914
I'm reading A Book of Abstract Algebra right now as an introduction. It's quite nice and easy to understand especially if you take your time and do all the exercises. You might want to take a look at it.