Algebra/Calculus

D

Dumbass

Junior Member
Joined
Jan 9, 2022
Messages
55
Hello. I was sick during six months and i'll be back at school next week (wednesday, precisely).

Would you recommend me some ressources about:
-Groups, Rings, fields , Vector spaces, matrices, homomorphisms
-Complex numbers
-Limits, continuity, defferentiation, integration
-the complete study of a function : set of definition, parity, periodicity, limits, asymptotes, etc
-parametric curves
-Conics
-basics of analytic geometry, barycentre, gravity centre of a plane figure, plane transformation: rotation, transalation, symetries, etc
-Space geometry
And more related subjects if you want


Thank you for your help
 
Dumbass said:
Hello. I was sick during six months and i'll be back at school next week (wednesday, precisely).

Would you recommend me some ressources about:
-Groups, Rings, fields , Vector spaces, matrices, homomorphisms
-Complex numbers
-Limits, continuity, defferentiation, integration
-the complete study of a function : set of definition, parity, periodicity, limits, asymptotes, etc
-parametric curves
-Conics
-basics of analytic geometry, barycentre, gravity centre of a plane figure, plane transformation: rotation, transalation, symetries, etc
-Space geometry
And more related subjects if you want


Thank you for your help
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As I suggested in a previous post (in a different thread) - you should set-up an advising meeting with your prospective instructors. They are the source of most useful information regarding resources for "next step" - specially after a long hiatus.
 
What you list is almost 1-2 years worth of undergraduate study. I doubt you can take it all in all at once. I would look into the old syllabi of the classes of the school you intends to go to. See what books the professor used.
 
BigBeachBananas said:
What you list is almost 1-2 years worth of undergraduate study. I doubt you can take it all in all at once. I would look into the old syllabi of the classes of the school you intends to go to. See what books the professor used.
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This is what we are currently studying, and it is just the first part of the course. And i am in my year 12. I wanted additional ressources to help me improve because i found that the syllabi was not interesting
 
Subhotosh Khan said:
As I suggested in a previous post (in a different thread) - you should set-up an advising meeting with your prospective instructors. They are the source of most useful information regarding resources for "next step" - specially after a long hiatus.
Click to expand...
Did it already, they told me to cool down and use the syllabi but as i told you this does not satisfy my actual needs
 
I am reading Schaum Complex Variables, Second Edition. It has 640 fully solved problems. But why do you care a lot about other people's opinion? This book could be either easy or difficult for you, but it could also be boring. You will eventually read what you like to read, so our opinion will not matter.
 
Dumbass said:
This is what we are currently studying, and it is just the first part of the course. And i am in my year 12. I wanted additional ressources to help me improve because i found that the syllabi was not interesting
Click to expand...
I can give you the books I used. They're not necessarily that it's the "best" one as I'm not an educator so don't have much exposure to textbooks. You can get most of those textbooks for free here:
  1. Abstract algebra:
  2. Complex Analysis
  3. Calculus
  4. Analysis and Intro to Proof
  5. Linear algebra
  6. Probability and Statistic
  7. Differential equations
 
nasi112 said:
I am reading Schaum Complex Variables, Second Edition. It has 640 fully solved problems. But why do you care a lot about other people's opinion? This book could be either easy or difficult for you, but it could also be boring. You will eventually read what you like to read, so our opinion will not matter.
Click to expand...
I bought it it looks pretty interesting.
 
BigBeachBananas said:
I can give you the books I used. They're not necessarily that it's the "best" one as I'm not an educator so don't have much exposure to textbooks. You can get most of those textbooks for free here:
  1. Abstract algebra:
  2. Complex Analysis
  3. Calculus
  4. Analysis and Intro to Proof
  5. Linear algebra
  6. Probability and Statistic
  7. Differential equations
Click to expand...
Those are all typical books and I actually have all of them.
There is only one book for a first course in Abstract Algebra. That bible is Topics in Algebra by Herstein. I studied from both the Herstein and Frailegh algebra books and found that Fraileigh just copied Herstein's book.
I find it funny that Lay wrote a book on Intro to Proofs. He wrote a Linear Algebra book, which is actually fairly popular, where he did no proofs at all--just computations. Terrible book in my opinion.
A very good Linear Algebra is by Hoffman and Kunze. One may say it is rigorous book, but if you want to learn Linear Algebra then this is the book to learn from.
 
Jomo said:
Those are all typical books and I actually have all of them.
There is only one book for a first course in Abstract Algebra. That bible is Topics in Algebra by Herstein. I studied from both the Herstein and Frailegh algebra books and found that Fraileigh just copied Herstein's book.
I find it funny that Lay wrote a book on Intro to Proofs. He wrote a Linear Algebra book, which is actually fairly popular, where he did no proofs at all--just computations. Terrible book in my opinion.
A very good Linear Algebra is by Hoffman and Kunze. One may say it is rigorous book, but if you want to learn Linear Algebra then this is the book to learn from.
Click to expand...
Thank you
 
Dumbass said:
Thank you
Indeed
I bought it it looks pretty interesting.
Thank you very much
Did it already, they told me to cool down and use the syllabi but as i told you this
does not satisfy my actual needs
Click to expand...

Dumbass said:
I saw another list of books on the website home page?. They are good rated, i'll look at them.
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English as a second language is really tough. Dumbass, please write your posts in
English sentences.
 
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lookagain said:
English as a second language is really tough. Dumbass, please write your posts in
English sentences.
Click to expand...
??I am really proud of me mate, i started to learn english 3 months ago.

Instead of good rated, i should have said well rated?
 
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