Trying to refresh math from basics... where to start ?

awholenumber · 2017-05-30, 12:45

I am very new to this forum , i am not even sure if i ask questions like these here .

Please help :)

chris2be8 · 2017-05-30, 16:23

It depends how much maths you learnt and how long ago that was. And what resources you have.

I'm mainly reading books on maths (I find books easier on my eyes than reading on a screen). But what you can get will depend on where you are and what is in stock.

National Geographic is currently publishing a weekly series of books titled "Our mathematical world". They assume no more than high school maths and provide a reasonable coverage of maths. Although they are written more for entertainment than learning maths. But one book per week adds up to learning a useful amount of maths.

It's worth reading up on the history of maths, it put a few things into perspective, such as why Calculus was so important a discovery.

If you prefer reading online a few resources I've bookmarked are:
http://www.freebookcentre.net/Mathem...ory-Books.html
https://en.wikibooks.org/wiki/Subject:Mathematics
http://www.cacr.math.uwaterloo.ca/hac/index.html
Chapter 2 of the last one is a reasonable intro to maths related to Cryptography.

Chris

awholenumber · 2017-05-30, 17:17

Thanks a lot for that really long post .
All those links are very helpful .

You know how trying to learn mathematics most of the time is , the resources are spread out in like around 10 or 20 books .Trying to narrow down the things to learn itself becomes an exhaustive task .
Why i suddenly had an interest is when i found this book ,

https://2012books.lardbucket.org/boo...nning-algebra/
https://2012books.lardbucket.org/pdf...ng-algebra.pdf

.

I am mostly trying to solve equations like these ,

I am not sure how to start learning this ,maybe i should start by taking a paper and pen

CRGreathouse · 2017-05-30, 18:40

Quote:

Originally Posted by awholenumber

I am mostly trying to solve equations like these ,

I am not sure how to start learning this ,maybe i should start by taking a paper and pen

So the equations you showed are at very different levels and have different answers.

The first is a univariate linear equation. It's usually solved in a grade-school pre-algebra class or a grade school/high school algebra I class.

The second is a univariate quadratic. It's usually solved in a high-school algebra II class.

The third is a univariate cubic. I don't think these are typically curricular; they could be taught to someone who has finished a high-school algebra II class, and you can solve them numerically with Newton's method which is a high-school calculus (?) topic.

The fourth is a generic univariate polynomial. It can be solved numerically as above. That it can't, in general, be solved in closed form is a graduate-level problem (abstract algebra/Galois theory).

The fifth, a general univariate rational equation, can be reduced to a polynomial with some singularities.

The sixth, what you call a radical equation, is just the disjunction of two univariate linear polynomials.

The seventh is a system of linear equations, which is covered in high-school pre-calculus (?) and in more detail in university-level linear algebra.

In summary, depending on what you want to do with them, these equations span grade school to graduate studies.

ET_ · 2017-05-30, 20:16

Quote:

Originally Posted by CRGreathouse

So the equations you showed are at very different levels and have different answers.

The first is a univariate linear equation. It's usually solved in a grade-school pre-algebra class or a grade school/high school algebra I class.

The second is a univariate quadratic. It's usually solved in a high-school algebra II class.

The third is a univariate cubic. I don't think these are typically curricular; they could be taught to someone who has finished a high-school algebra II class, and you can solve them numerically with Newton's method which is a high-school calculus (?) topic.

The fourth is a generic univariate polynomial. It can be solved numerically as above. That it can't, in general, be solved in closed form is a graduate-level problem (abstract algebra/Galois theory).

The fifth, a general univariate rational equation, can be reduced to a polynomial with some singularities.

The sixth, what you call a radical equation, is just the disjunction of two univariate linear polynomials.

The seventh is a system of linear equations, which is covered in high-school pre-calculus (?) and in more detail in university-level linear algebra.

In summary, depending on what you want to do with them, these equations span grade school to graduate studies.

Consider taking this course:

http://www.topfreeclasses.com/course/7186/Calculus-One

Also, here are some useful resources for Math:

https://link.springer.com/search/pag...&showAll=false
http://www.topfreeclasses.com/course...alculus-Course
http://www.topfreeclasses.com/course...ollege-Algebra

If such books/cours4esare too easy for you, we'll hint you some more interesting/technical ones.

science_man_88 · 2017-05-30, 21:13

Quote:

Originally Posted by awholenumber

Thanks a lot for that really long post .
All those links are very helpful .

You know how trying to learn mathematics most of the time is , the resources are spread out in like around 10 or 20 books .Trying to narrow down the things to learn itself becomes an exhaustive task .
Why i suddenly had an interest is when i found this book ,

https://2012books.lardbucket.org/boo...nning-algebra/
https://2012books.lardbucket.org/pdf...ng-algebra.pdf

.

I am mostly trying to solve equations like these ,

I am not sure how to start learning this ,maybe i should start by taking a paper and pen

there are many online resource about math in general:
khanacademy
numberphile
primes.utm.edu
wolframalpha
you could also play around in PARI/GP ( a computer algebra system) etc.

there are a lot of forum threads related to number theory etc.

awholenumber · 2017-05-31, 03:25

Quote:

Originally Posted by CRGreathouse

So the equations you showed are at very different levels and have different answers.

The first is a univariate linear equation. It's usually solved in a grade-school pre-algebra class or a grade school/high school algebra I class.

The second is a univariate quadratic. It's usually solved in a high-school algebra II class.

The third is a univariate cubic. I don't think these are typically curricular; they could be taught to someone who has finished a high-school algebra II class, and you can solve them numerically with Newton's method which is a high-school calculus (?) topic.

The fourth is a generic univariate polynomial. It can be solved numerically as above. That it can't, in general, be solved in closed form is a graduate-level problem (abstract algebra/Galois theory).

The fifth, a general univariate rational equation, can be reduced to a polynomial with some singularities.

The sixth, what you call a radical equation, is just the disjunction of two univariate linear polynomials.

The seventh is a system of linear equations, which is covered in high-school pre-calculus (?) and in more detail in university-level linear algebra.

In summary, depending on what you want to do with them, these equations span grade school to graduate studies.

Thanks ,
yes most of the time when i try to learn from some websites , this is the problem . Its from different grades .

i found a solution for that too .

This online service offers easy access to the NCERT textbooks. The service covers textbooks of all subjects published by NCERT for classes I to XII in Hindi, English and Urdu. The Entire book or individual chapters can be downloaded provided the terms of use as mentioned in the Copyright Notice is adhered to

http://ncert.nic.in/textbook/textbook.htm

I downloaded all those texts , especially from grade 6 to grade 12 , and i am keeping those texts in my pc for reference .

I guess all i need is some examples of practice problems in this order .

which i should be able to find in this book

https://2012books.lardbucket.org/pdf...ng-algebra.pdf

awholenumber · 2017-05-31, 03:26

Quote:

Originally Posted by ET_

Consider taking this course:

http://www.topfreeclasses.com/course/7186/Calculus-One

Also, here are some useful resources for Math:

https://link.springer.com/search/pag...&showAll=false
http://www.topfreeclasses.com/course...alculus-Course
http://www.topfreeclasses.com/course...ollege-Algebra

If such books/cours4esare too easy for you, we'll hint you some more interesting/technical ones.

Thanks :)

Quote:

Originally Posted by science_man_88

there are many online resource about math in general:
khanacademy
numberphile
primes.utm.edu
wolframalpha
you could also play around in PARI/GP ( a computer algebra system) etc.

there are a lot of forum threads related to number theory etc.

Thanks :)

LaurV · 2017-05-31, 03:47

Maybe starting with khan academy (as pointed above) is the best for you, it starts from very-very basic and it goes slowly up, so you can see where you are stuck, where you need to insist, where you need the books, etc.

warning: it is catchy!

gaming style, etc., we (that is my little minions and me) spent endless hours there learning and playing.

Today it is so easy to learn... we regret we are not young anymore, and nostalgically remember our time, when we had to go to the library, ask for books, first we didn't have any freaking ideas what to ask for, and when we had, the books were not available, or they were available but there was an idiot of librarian (a very thin sour old woman, we were calling her "the fig", like the dried fruit) and she didn't want to give us the books because "you rascals, are damaging them", etc. Nowadays one has in his pocket a device which can be used to access the whole knowledge of humanity in just a few taps on the screen, and he is using it to watch stupid movies with cats and dogs... We gladly raise our hat and bow every time when we see somebody wanting to study and learn new things... No joke here, and no irony at all! We try to force this idea into our minions' heads too...

awholenumber · 2017-05-31, 13:15

I didn't know there was a forum like this here where you could ask a lot of math related questions until yesterday.
This is very helpful forum for new people like me looking to improve math from basics
Thanks a lot for all the replies :)

2017-05-30, 12:45	#1
awholenumber May 2017 3² Posts	Trying to refresh math from basics... where to start ? I am very new to this forum , i am not even sure if i ask questions like these here . Please help :)

2017-05-30, 17:17	#3
awholenumber May 2017 9₁₆ Posts	Thanks a lot for that really long post . All those links are very helpful . You know how trying to learn mathematics most of the time is , the resources are spread out in like around 10 or 20 books .Trying to narrow down the things to learn itself becomes an exhaustive task . Why i suddenly had an interest is when i found this book , https://2012books.lardbucket.org/boo...nning-algebra/ https://2012books.lardbucket.org/pdf...ng-algebra.pdf . I am mostly trying to solve equations like these , I am not sure how to start learning this ,maybe i should start by taking a paper and pen Attached Thumbnails Last fiddled with by awholenumber on 2017-05-30 at 17:31

2017-05-31, 03:47	#9
LaurV Romulan Interpreter Jun 2011 Thailand 3²·29·37 Posts	Maybe starting with khan academy (as pointed above) is the best for you, it starts from very-very basic and it goes slowly up, so you can see where you are stuck, where you need to insist, where you need the books, etc. warning: it is catchy! gaming style, etc., we (that is my little minions and me) spent endless hours there learning and playing. Today it is so easy to learn... we regret we are not young anymore, and nostalgically remember our time, when we had to go to the library, ask for books, first we didn't have any freaking ideas what to ask for, and when we had, the books were not available, or they were available but there was an idiot of librarian (a very thin sour old woman, we were calling her "the fig", like the dried fruit) and she didn't want to give us the books because "you rascals, are damaging them", etc. Nowadays one has in his pocket a device which can be used to access the whole knowledge of humanity in just a few taps on the screen, and he is using it to watch stupid movies with cats and dogs... We gladly raise our hat and bow every time when we see somebody wanting to study and learn new things... No joke here, and no irony at all! We try to force this idea into our minions' heads too... Last fiddled with by LaurV on 2017-05-31 at 03:53

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2017-05-30, 16:23	#2
chris2be8 Sep 2009 4054₈ Posts	It depends how much maths you learnt and how long ago that was. And what resources you have. I'm mainly reading books on maths (I find books easier on my eyes than reading on a screen). But what you can get will depend on where you are and what is in stock. National Geographic is currently publishing a weekly series of books titled "Our mathematical world". They assume no more than high school maths and provide a reasonable coverage of maths. Although they are written more for entertainment than learning maths. But one book per week adds up to learning a useful amount of maths. It's worth reading up on the history of maths, it put a few things into perspective, such as why Calculus was so important a discovery. If you prefer reading online a few resources I've bookmarked are: http://www.freebookcentre.net/Mathem...ory-Books.html https://en.wikibooks.org/wiki/Subject:Mathematics http://www.cacr.math.uwaterloo.ca/hac/index.html Chapter 2 of the last one is a reasonable intro to maths related to Cryptography. Chris

2017-05-31, 13:15	#10
awholenumber May 2017 3² Posts	I didn't know there was a forum like this here where you could ask a lot of math related questions until yesterday. This is very helpful forum for new people like me looking to improve math from basics Thanks a lot for all the replies :)