Anonymous at Wed, 27 Mar 2024 17:53:10 UTC No. 16099598

>>16099576
>Linear Algebra Done Rig
Only the problems are alright, don't like its presentation and hate for determinants at all (and most uni courses advise against/ignore Axler's conventions anyway). I prefer something like Katznelson's "A (Terse) Introduction to Linear Algebra"

Anonymous at Wed, 27 Mar 2024 17:58:05 UTC No. 16099606

>>16099598
>Katznelson's "A (Terse) Introduction to Linear Algebra"
I read partially the chapter on vector spaces, you would be better off with axler since he actually bothers to prove his theorems in a rigourous fashing and gives you examples on how to solve all the problems in his textbook unlike the one you just mentioned.
a newbie to it would be better off with axler than what you mentioned

Anonymous at Wed, 27 Mar 2024 18:01:19 UTC No. 16099612

Nine textbooks to study math from, in the order that will make most sense to you when studying from them, to make you smarter. Read and complete as many problems in them to increase the density of your prefrontal cortex. Use WolframAlpha or Symbolab to check your answer if you have difficulty for [2-7].

[1] Linear Algebra Done Right by Axler: It's free on his website, teaches you how to read and write proofs in linear algebra, makes understanding "pure" math easier, 800 problems, majority of mathematics program in the USA use his book.
[2] Calculus with Applications by Lax: It's a compact comprehensive introduction to single variable calculus, that has 400 problems. No prerequisite needed.
[3] Ordinary Differential Equations by Logan: A compact comprehensive overview of ODE's, that is used in multiple universities in the USA, prerequisite is [2].
[4] ISBN 3030263835: Optional, prerequisite is [3].
[5] Multivariable Calculus by Lax: Only 400 problems, for most people who are majoring in science or mathematics, they will stop learning math after this subject, unless you are a physicist or electrical engineer. Prerequisite is [2].
[6] Partial Differential Equations by Logan: Same as [3], except it's pde's, prerequisite is [5], 300 problems that aren't plug and chug problems, it takes longer to solve problems in this subject, like a whole page or two of calculus/algebra.
[7] ISBN 3031487834: Optional, prerequisite is [6].
[8] Complex Analysis by Eiderman: It has solutions to every problem, and is written like [1], you don't need to know real analysis, has 200 problems, prerequisite is [5].
[9] ISBN 0470054565: Optional, a more difficult version of [6].

Congratulations! You have now gained the ability to persevere on your own, and you have a better understanding of math than most STEM majors. If working full time, it would take you between 3 to 12 months for [1-8], and anywhere between 3 to 12 months for [9].

Anonymous at Wed, 27 Mar 2024 18:11:57 UTC No. 16099625

>>16099576
Will this actually improve my IQ? I'm average and incredibly butthurt about it.

Anonymous at Wed, 27 Mar 2024 18:16:13 UTC No. 16099635

>>16099625
Doing difficult tasks like mathematics will improve iq, it forces your brain to make more connections in your cortex's.

Anonymous at Wed, 27 Mar 2024 18:17:14 UTC No. 16099636

>>16099625
[1] Linear Algebra Done Right by Axler: It's free on his website, teaches you how to read and write proofs in linear algebra, makes understanding "pure" math easier, 800 problems, majority of mathematics program in the USA use his book.
[2] Calculus with Applications by Lax: It's a compact comprehensive introduction to single variable calculus, that has 400 problems. No prerequisite needed.
[3] Ordinary Differential Equations by Logan: A compact comprehensive overview of ODE's, that is used in multiple universities in the USA, prerequisite is [2].
[4] ISBN 3030263835: Optional, prerequisite is [3].
[5] Multivariable Calculus by Lax: Only 400 problems, for most people who are majoring in science or mathematics, they will stop learning math after this subject, unless you are a physicist or electrical engineer. Prerequisite is [2].
[6] Partial Differential Equations by Logan: Same as [3], except it's pde's, prerequisite is [5], 300 problems that aren't plug and chug problems, it takes longer to solve problems in this subject, like a whole page or two of calculus/algebra.
[7] ISBN 3031487834: Optional, prerequisite is [6].
[8] Complex Analysis by Eiderman: It has solutions to every problem, and is written like [1], you don't need to know real analysis, has 200 problems, prerequisite is [5].
[9] ISBN 0470054565: Optional, a more difficult version of [6].
[10] ISBN 0486406784: An cheaper older alternative to [3]. This is 224 pages while [3] is 384 pages.

Congratulations! You have now gained the ability to persevere on your own, and you have a better understanding of math than most STEM majors. If working full time, it would take you between 3 to 12 months for [1-8, 10], and anywhere between 3 to 12 months for [9].

Anonymous at Wed, 27 Mar 2024 18:22:28 UTC No. 16099640

>>16099625
No, try this instead

Anonymous at Wed, 27 Mar 2024 18:32:42 UTC No. 16099657

>>16099640
This is horrible, you can't even get a degree in engineering or physics if you study the books in that picture

Anonymous at Wed, 27 Mar 2024 18:35:55 UTC No. 16099662

>>16099657
>you can't even get a degree in engineering or physics if you study the books in that picture
Why would you want those?

Anonymous at Wed, 27 Mar 2024 18:56:43 UTC No. 16099692

11 textbooks to study math from, to make you smarter. Use WolframAlpha or Symbolab to check your answer if you have difficulty for [2-11].

[1] Linear Algebra Done Right by Axler: It's free on his website, teaches you how to read and write proofs in linear algebra, makes understanding "pure" math easier, 800 problems, majority of mathematics program in the USA use his book.
[2] Calculus with Applications by Lax: It's a compact comprehensive introduction to single variable calculus, that has 400 problems. No prerequisite needed.
[3] Ordinary Differential Equations by Logan: A compact comprehensive overview of ODE's, that is used in multiple universities in the USA, prerequisite is [2].
[4] ISBN 3030263835: Optional, prerequisite is [3].
[5] Multivariable Calculus by Lax: Only 400 problems, for most people who are majoring in science or mathematics, they will stop learning math after this subject, unless you are a physicist or electrical engineer. Prerequisite is [2].
[6] Partial Differential Equations by Logan: Same as [3], except it's pde's, prerequisite is [5], 300 problems that aren't plug and chug problems, it takes longer to solve problems in this subject, like a whole page or two of calculus/algebra.
[7] ISBN 3031487834: Optional, prerequisite is [6].
[8] Complex Analysis by Eiderman: It has solutions to every problem, and is written like [1], you don't need to know real analysis, has 200 problems, prerequisite is [5].
[9] ISBN 0470054565: Optional, a more difficult version of [6].
[10] ISBN 0486406784: A cheaper older alternative to [3]. This is 224 pages while [3] is 384 pages.
[11] ISBN 048666158X: A cheaper older alternative to [6]. This is 192 pages while [6] is 300 pages.

Anonymous at Wed, 27 Mar 2024 20:01:52 UTC No. 16099804

11 textbooks to study math from, to make you smarter. Use WolframAlpha or Symbolab to check your answer if you have difficulty for [2-11].

[1] Linear Algebra Done Right by Axler: Do this first, it's free on his website, teaches you how to read and write proofs in linear algebra, makes understanding "pure" math easier, 800 problems, majority of mathematics programs in the USA use his book.
[2] Calculus with Applications by Lax: It's a compact comprehensive introduction to single variable calculus, that has 400 problems. No prerequisite needed.
[3] Ordinary Differential Equations by Logan: A compact comprehensive overview of ODE's, that is used in multiple universities in the USA, prerequisite is [2].
[4] ISBN 3030263835: Optional, prerequisite is [3].
[5] Multivariable Calculus by Lax: Only 400 problems, for most people who are majoring in science or mathematics, they will stop learning math after this subject, unless you are a physicist or electrical engineer. Prerequisite is [2].
[6] Partial Differential Equations by Logan: Same as [3], except it's pde's, prerequisite is [5], 300 problems that aren't plug and chug problems, it takes longer to solve problems in this subject, like a whole page or two of calculus/algebra.
[7] ISBN 3031487834: Optional, prerequisite is [6].
[8] Complex Analysis by Eiderman: It has solutions to every problem, and is written like [1], you don't need to know real analysis, has 200 problems, prerequisite is [5].
[9] ISBN 0470054565: Optional, a more difficult version of [6].
[10] ISBN 0486406784: A cheaper older alternative to [3]. This is 224 pages while [3] is 384 pages.
[11] ISBN 048666158X: A cheaper older alternative to [6]. This is 192 pages while [6] is 300 pages.

Congratulations! You have now gained the ability to persevere on your own, and you have a better understanding of math than most STEM majors. If working full time, it would take you between 3 to 12 months for [1-11].

Anonymous at Wed, 27 Mar 2024 20:16:21 UTC No. 16099834

Thank you anon.

Anonymous at Wed, 27 Mar 2024 20:36:33 UTC No. 16099895

>>16099576
What exactly is going on in this gif? It tickles my monkey brain

Anonymous at Wed, 27 Mar 2024 20:44:47 UTC No. 16099917

11 textbooks to study math from, to make you smarter. Use WolframAlpha or Symbolab to check your answer if you have difficulty for [2-11].

[1] Linear Algebra Done Right by Axler: Do this first, it's free on his website, teaches you how to read and write proofs in linear algebra, makes understanding "pure" math easier, 800 problems, majority of mathematics programs in the USA use his book.
[2] Calculus with Applications by Lax: It's a compact comprehensive introduction to single variable calculus, that has 400 problems. No prerequisite needed.
[3] Ordinary Differential Equations by Logan: A compact comprehensive overview of ODE's, that is used in multiple universities in the USA, prerequisite is [2].
[4] ISBN 3030263835: Optional, prerequisite is [3].
[5] Multivariable Calculus by Lax: Only 400 problems, for most...learning math ceases after [5], unless you are a physicist or electrical engineer. Prerequisite is [2].
[6] Partial Differential Equations by Logan: Similar in style to [3], prerequisite is [5], 300 problems, problems start to require a whole page of work or more.
[7] ISBN 3031487834: Optional, prerequisite is [6].
[8] Complex Analysis by Eiderman: It has solutions to every problem, and is written like [1], has 200 problems, prerequisite is [5].
[9] ISBN 0470054565: A more difficult, optional alternative to [6], yet is more comprehensive. Realistically...for most...prior experience is required, such as that found in [6].
[10] ISBN 0486406784: A cheaper older alternative to [3]. This is 224 pages while [3] is 384 pages. Recommended to work [10] and [3] at the same time.
[11] ISBN 048666158X: A cheaper older alternative to [6]. This is 192 pages while [6] is 300 pages. Recommended to work [11] and [6] at the same time.

Congratulations! You have now gained the ability to persevere on your own, and you have a better understanding of math than most STEM majors. If working full time, it would take you between 3 to 12 months for [1-11].

Anonymous at Wed, 27 Mar 2024 20:46:10 UTC No. 16099923

>>16099917
>If working full time, it would take you between 3 to 12 months for [1-11].
What exactly do you mean by this? You mean working 8 hours a day, and then 2 hours on these books in your free time? Or full time on the books?

Anonymous at Wed, 27 Mar 2024 20:52:19 UTC No. 16099941

>>16099576
Stopped reading at Shartxler

Anonymous at Wed, 27 Mar 2024 20:52:36 UTC No. 16099942

>>16099923
The first

Anonymous at Wed, 27 Mar 2024 20:54:02 UTC No. 16099946

>>16099941
I got adhd, I managed to complete all the questions in the first chapter, he gives you all the information you need to succeed.

Anonymous at Wed, 27 Mar 2024 20:54:54 UTC No. 16099948

>>16099946
I meant I stopped reading the book list at the mention of Shartxler.

Anonymous at Wed, 27 Mar 2024 20:56:09 UTC No. 16099954

>>16099948
Do you think it's bad or something?

Anonymous at Wed, 27 Mar 2024 20:57:10 UTC No. 16099957

11 textbooks to study math from, to make you smarter. Use WolframAlpha or Symbolab to check your answer if you have difficulty for [2-11].

[1] Linear Algebra Done Right by Axler: Do this first, it's free on his website, teaches you how to read and write proofs in linear algebra, makes understanding "pure" math easier, 800 problems, majority of mathematics programs in the USA use this book.
[2] Calculus with Applications by Lax: It's a compact comprehensive introduction to single variable calculus, that has 400 problems. No prerequisite needed.
[3] Ordinary Differential Equations by Logan: A compact comprehensive overview of ODE's, that is used in multiple universities in the USA, prerequisite is [2].
[4] ISBN 3030263835: Optional, prerequisite is [3].
[5] Multivariable Calculus by Lax: Only 400 problems, for most...learning math ceases after [5], unless you are a physicist or electrical engineer. Prerequisite is [2].
[6] Partial Differential Equations by Logan: Similar in style to [3], prerequisite is [5], 300 problems, problems start to require a whole page of work or more.
[7] ISBN 3031487834: Optional, prerequisite is [6].
[8] Complex Analysis by Eiderman: Every problem contains solutions, has 200 problems, prerequisite is [5], is a great book to learn from.
[9] ISBN 0470054565: A more difficult, optional alternative to [6], yet is more comprehensive. Realistically...for most...prior experience is required, such as that found in [6].
[10] ISBN 0486406784: A cheaper older alternative to [3]. This is 224 pages while [3] is 384 pages. Recommended to work [10] and [3] at the same time.
[11] ISBN 048666158X: A cheaper older alternative to [6]. This is 192 pages while [6] is 300 pages. Recommended to work [11] and [6] at the same time.

Congratulations! You have now gained the ability to persevere on your own, and you have a better understanding of math than most STEM majors. If you're working full time, it would take you between 3 to 12 months to complete each book.

Anonymous at Wed, 27 Mar 2024 20:58:10 UTC No. 16099959

>>16099954
Yeah, or at least I don't care for the false advertising. If it was called "Linear algebra done for Americans" I could be more happy with it.

Anonymous at Wed, 27 Mar 2024 20:58:43 UTC No. 16099960

>>16099957
>If working full time, it would take you between 3 to 12 months for [1-11].
>If you're working full time, it would take you between 3 to 12 months to complete each book.
So now it's not for the list but 12 months for each book? Damn that means I'm going to be done in about 10 or 11 years....

Anonymous at Wed, 27 Mar 2024 21:01:23 UTC No. 16099967

>>16099960
As you complete a textbook, you become smarter and it becomes easier to understand and perform mathematics, it will take less time to complete the successive textbook.

So no...it won't take you 1 one year to finish but i would think that is the worst case scenario.

Anonymous at Wed, 27 Mar 2024 21:09:40 UTC No. 16099982

11 textbooks to study math from, to make you smarter. Use WolframAlpha or Symbolab to check your answer if you have difficulty for [2-11].

[1] Linear Algebra Done Right by Axler: Do this first, it's free on his website, teaches you how to read and write proofs in linear algebra, makes understanding "pure" math easier, 800 problems, majority of mathematics programs in the USA use this book.
[2] Calculus with Applications by Lax: It's a compact comprehensive introduction to single variable calculus, that has 400 problems. No prerequisite needed.
[3] Ordinary Differential Equations by Logan: A compact comprehensive overview of ODE's, that is used in multiple universities in the USA, prerequisite is [2].
[4] ISBN 3030263835: Optional, prerequisite is [3].
[5] Multivariable Calculus by Lax: Only 400 problems, for most...learning math ceases after [5], unless you are a physicist or electrical engineer. Prerequisite is [2].
[6] Partial Differential Equations by Logan: Similar in style to [3], prerequisite is [5], 300 problems, problems start to require a whole page of work or more.
[7] ISBN 3031487834: Optional, prerequisite is [6].
[8] Complex Analysis by Eiderman: Every problem contains solutions, has 200 problems, prerequisite is [5], is a great book to learn from.
[9] ISBN 0470054565: A more difficult, optional alternative to [6], yet is more comprehensive. Realistically...for most...prior experience is required, such as that found in [6].
[10] ISBN 0486406784: A cheaper older companion to work alongside with, or optional alternative to [3]. This is 224 pages while [3] is 384 pages.
[11] ISBN 048666158X: A cheaper older companion to work alongside with, or optional alternative to [6]. This is 192 pages while [6] is 300 pages.

As you complete a math textbook, you become smarter, therefore making the successive textbook quicker to complete. If you're working full time, it would take you between 3 to 12 months to complete each book.

Anonymous at Wed, 27 Mar 2024 22:09:27 UTC No. 16100084

>>16099606
Problems are supposed to be your first exposure to mathematical research in the sense that they shouldn't be directly analogous to the chapter's proofs and examples. I personally find Gorodentsev's way of doing it the best: you have exercises embedded in the text and problems at the end of the chapter.
Even so, none of the exercises in Katznelson's book are even remotely as difficult as in Gorodentsev's book on linear algebra, so it's not suffering from not following that approach, nor would I consider leaving something like proving linearity to the reader (especially when it has been done before and doing so is trivial) a lack in rigor.
Disregarding Axler's idiosyncratic syntax and refusal to properly and timely define the determinant, it's also lacking in many important topics, like tensor algebra and representation theory. Katznelson not only manages to introduce all the important topics succinctly and timely, its brevity also lets you easily supplement other texts, which you should be doing anyway. Its approach and structure is just very solid

Anonymous at Wed, 27 Mar 2024 22:19:02 UTC No. 16100094

>>16100084
idk man, if your book is as good as people say it is then why haven't i heard of it, why aren't that many people using it compared to axler

axler has tensor algebra is his book now, the latest edition, I don't believe in the idea that a person should learn from multiple textbooks on the same subject at once because the average person, meaning 90% of college students will jusst want to rely on one book to learn everything from unless they are forced to