Hi all -- I need a good reference about linear algebra

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Discussion Overview

The discussion revolves around finding suitable references for learning linear algebra, particularly for individuals with little to no background in mathematics. Participants explore various resources, including textbooks and online courses, while addressing the foundational knowledge required for understanding linear algebra.

Discussion Character

  • Exploratory
  • Technical explanation
  • Homework-related

Main Points Raised

  • One participant expresses a need for references in mathematics, specifically mentioning linear algebra, general math, and calculus.
  • Several participants suggest that a foundational understanding of pre-algebra and pre-calculus is necessary before tackling linear algebra.
  • Books such as "Linear Algebra Done Right" by Sheldon Axler and "Linear Algebra and its Applications" by Gilbert Strang are recommended for learning linear algebra.
  • Another participant suggests that reading multiple books with different approaches can enhance understanding.
  • Online courses, such as "Linear Algebra: Foundations to Frontiers" on edx.org, are proposed as valuable resources.
  • Some participants emphasize the importance of starting with basic mathematics texts, including "Pre-Algebra for Dummies" and "Algebra 1, 2 for Dummies," to build a solid foundation.
  • There is mention of a geometric approach to trigonometry and its relevance to understanding linear algebra concepts.
  • One participant questions the clarity of the original poster's request, suggesting that they may be looking for basic math resources rather than advanced topics.
  • Another participant recommends Hefferon's Linear Algebra as a beginner-friendly resource available for free online.

Areas of Agreement / Disagreement

Participants generally agree on the necessity of foundational knowledge in mathematics before approaching linear algebra. However, there are multiple competing views regarding the best resources and approaches to learning, and the discussion remains unresolved on which specific materials are most suitable for beginners.

Contextual Notes

Some participants highlight the need for prerequisites in mathematics and physical sciences, while others focus on the importance of different learning approaches. The discussion does not resolve the best path forward for someone starting from a very basic level.

ahmed habala
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hi all
i need a good Reference about mathematics
my level in mathematics as zero
 
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such as linear algebra or General Math or calculus
Greg Bernhardt said:
What topics?
 
ahmed habala said:
my level in mathematics as zero
What do you mean by that?
 
QuantumQuest said:
What do you mean by that?
i mean that i don't know anything about it
 
ahmed habala said:
i mean that i don't know anything about it

Although this is still absolutely abstract, if anyway you know just arithmetic, then you need some pre books - like pre-algebra, pre-calculus etc. ,as to grasp the very fundamentals and go from there. There are many good texts on all these and of particular help in my opinion, is Wikipedia in order to get into context as well and maybe some history of math too.
 
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QuantumQuest said:
Although this is still absolutely abstract, if anyway you know just arithmetic, then you need some pre books - like pre-algebra, pre-calculus etc. ,as to grasp the very fundamentals and go from there. There are many good texts on all these and of particular help in my opinion, is Wikipedia in order to get into context as well and maybe some history of math too.
thank you ,sir
 
ahmed habala said:
i mean that i don't know anything about it

So you don't know how to count to 10 for example?
 
Try to explain what you already know, for example, if you're a high-school student you should probably know something of trigonometry and analytic geometry right?
 
  • #10
Andreol263 said:
Try to explain what you already know, for example, if you're a high-school student you should probably know something of trigonometry and analytic geometry right?

maybe not right what i mean that i know little information about it
 
  • #11
Linear Algebra Done Right - Sheldon Axler is a good book.
To understand linear algebra, you need to know the theory of matrices and determinants.
 
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  • #12
Maths Absorber said:
Linear Algebra Done Right - Sheldon Axler is a good book.
To understand linear algebra, you need to know the theory of matrices and determinants.
thank you very much
 
  • #13
Reading two books of different approaches always helps. It makes the brain interleave the concepts. Another really good book is Gilbert Strang - Linear Algebra and its Applications. However, if you need help building the background you need to start with books about matrices, algebra equations and inequalities.
 
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  • #14
Maths Absorber said:
Reading two books of different approaches always helps. It makes the brain interleave the concepts. Another really good book is Gilbert Strang - Linear Algebra and its Applications. However, if you need help building the background you need to start with books about matrices, algebra equations and inequalities.
thank you you're very helpful
 
  • #15
Hi Ahmed,

I think the best way to go would be to take an online course on edx.org . For example, there is a great course named "Linear Algebra: Foundations to Frontiers", taught by Professor Robert A. van de Geijn from the University of Texas (the course is now archived, but all the video lectures and other materials are still available). Just follow this link:
https://courses.edx.org/courses/UTAustinX/UT.5.02x/1T2015/info
 
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  • #16
I recommend:

Pre algebra for dummies, Algebra 1, 2 for dummies (two separate books).

Schaums outlines:
Basic mathematics with applications to science and technology (good for physicists and engineering people)
College algebra
Beginning calculus.

I am also trying to read, "what is mathematics?" on the side.

I know its a lot of material :( but to truly master mathematics I think it is worth the effort..
 
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  • #17
NumericalFEA said:
Hi Ahmed,

I think the best way to go would be to take an online course on edx.org . For example, there is a great course named "Linear Algebra: Foundations to Frontiers", taught by Professor Robert A. van de Geijn from the University of Texas (the course is now archived, but all the video lectures and other materials are still available). Just follow this link:
https://courses.edx.org/courses/UTAustinX/UT.5.02x/1T2015/info
thank you very much
 
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  • #18
Maths Absorber said:
Linear Algebra Done Right - Sheldon Axler is a good book.
To understand linear algebra, you need to know the theory of matrices and determinants.
The answers to exercises & problems, are sold only to actual teachers in employement. I handled a copy of the book; most beautiful on acid free, glossy paper. A first revision of it, would be much appreciated. Very easy to read and understand, illustrated, book of math that is worthy of being chosen by decisions Makers for high school (as an advanced optional three credit course) or first year college in fall quadrimester. The prerequisites of any academic first course in linear algebra taught in North America, are 1) all the math offered at primary & secondary schools, 2) a course in physical sciences and 3) a course in physics at high school. Sheldon Axler has to be mentionned first, endeed. _____ For the rare pupils who have benefited from a non conventional but geometric approach to trigonometry (where tan, cotan, sec^2, cos^2 etc correspond to specific segments of lines, may I suggest Linea Algebra, by Harold M. Edwards (with all the answers and often with full procedure; but not illustrated)?
 
  • #19
Hi Ahmed, I think your title is misleading? surely you mean only basic maths (basic calculus, basic algebra..) and then linear algebra? I believe the op wanted books for basic maths as they said their level in mathematics isn't that high.
 
  • #21
I recommend Hefferon's Linear Algebra if you have no experience with the proofs and linear algebra rap whatsoever. His book is available for free at his website. After reading his book, you can read either Axler or Hoffman/Kunze (my favorite) to learn more about the linear algebra from the theoretical aspect, and as a stepping stone to the functional analysis if you are interested in it.
 
  • #22
theBin said:
The answers to exercises & problems, are sold only to actual teachers in employement. I handled a copy of the book; most beautiful on acid free, glossy paper. A first revision of it, would be much appreciated. Very easy to read and understand, illustrated, book of math that is worthy of being chosen by decisions Makers for high school (as an advanced optional three credit course) or first year college in fall quadrimester. The prerequisites of any academic first course in linear algebra taught in North America, are 1) all the math offered at primary & secondary schools, 2) a course in physical sciences and 3) a course in physics at high school. Sheldon Axler has to be mentionned first, endeed. _____ For the rare pupils who have benefited from a non conventional but geometric approach to trigonometry (where tan, cotan, sec^2, cos^2 etc correspond to specific segments of lines, may I suggest Linea Algebra, by Harold M. Edwards (with all the answers and often with full procedure; but not illustrated)?

I'd like to try the book you mention, but what is the non conventional approach to geometry ?
 
  • #23
''A Geometrical Approach to the Six Trigonometric Ratios'', by Martin V. Bonsangue, in The Mathematics Teacher, Vol.86, No.6' September 1993, pp496-498
 

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