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

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The discussion centers around finding appropriate mathematics resources for someone starting from a very basic level. Participants suggest beginning with foundational topics such as pre-algebra and pre-calculus to build essential skills. Recommended books include "Linear Algebra Done Right" by Sheldon Axler and "Linear Algebra and its Applications" by Gilbert Strang, emphasizing the importance of understanding matrices and determinants for linear algebra. Online courses, particularly on platforms like edx.org, are also recommended, with a specific course on linear algebra highlighted. Additional resources mentioned include "Pre-Algebra for Dummies" and various Schaum's outlines for basic mathematics and calculus. The conversation stresses the value of diverse learning materials and approaches to solidify understanding in mathematics.
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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