linear algebra textbooks

I need to learn linear algebra over the summer, I've heard good things about this textbook and I saw it has a new edition that came out this year. Has anyone read it? What's your favorite linear algebra textbook?

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  1. 1 month ago
    Anonymous

    It's OK but the author insists on not using determinants so has to do eigenvalues in a very unorthodox way. Try Friedberg/Insel/Spence instead.

    • 1 month ago
      Anonymous

      That one you recommended is so expensive...
      Has anyone read this one? It's basically free. Or what about The Manga Guide to Linear Algebra?

      • 1 month ago
        Anonymous

        that book isn't rigorous at all which is fine if you only care about computational linear algebra

      • 1 month ago
        Anonymous

        >Manga Guide to Linear Algebra
        is axler and this meme book all you could find in the archives lol

      • 1 month ago
        Anonymous

        Hefferon is a meme. Garbage written for CS grads written by a brainlet who doesn't understand linear algebra to begin with. You're better off reading random lecture notes than that abortion

      • 1 month ago
        Anonymous

        Read the manga guide

      • 4 weeks ago
        Anonymous

        >OP asks for book recs
        >immediately disappears, leaving his thread to die
        bot thread

    • 1 month ago
      Anonymous

      It's definitely better early on, not just dumping out the definition of the determinant like some magical formula from on high, but it does really tie itself in knots later on.

      • 1 month ago
        Anonymous

        the best way to introduce the determinant IMO is to introduce it as the general solutions for linear systems . Then you show the geometrical meaning and then proceed with your abstract bullshit so that you can call yourself a mathematician and not an engineer

  2. 1 month ago
    Anonymous

    Gorodentsev. Algebra
    It basically introduces algebra using linear algebra and in turn treats linear algebra much more in-depth than the usual lin alg book

    • 1 month ago
      Anonymous

      Shlomo Sternberg's Advanced Calculus. Does both analysis and linear algebra

      seconding these. They've some of the best exercises I've ever come across in a textbook. Sternberg's way of doing calculus on manifolds is also extraordinarily based

    • 1 month ago
      Anonymous

      I swear this board has the stupidest autists when it comes to book recommendations. Do you really think it is feasible to learn linear algebra from self study over a SUMMER from this book?

      • 1 month ago
        Anonymous

        read 10 pages a day and you'll be done in two months. No need to do all the problems, the exercises have solutions

        • 4 weeks ago
          Anonymous

          >read 10 pages a day and you'll be done in two months.
          You can say this with any book, idiot. Better to pick a book focues on Linear Algebra if that is what you want/need to learn.
          >No need to do all the problems,
          Of course you won't do EVERY single problem in a book, but doing problems is very important and more time should be done doing that than reading.

          based
          [...]
          its absolutely doable if youre not a brainlet. Ive read some chapters of gorodentsev before and hes very good at motivating whatever he'll introduce and incorporating all the advanced algebra meaningfully, puiseux series were done particularly well. His proofs are also very concise

          >its absolutely doable if youre not a brainlet.
          Shut up idiot, I know you didn't learn Linear Algebra or even any math subject over the summer from a book.
          >His proofs are also very concise
          Yeah, because that is perfect for self-study in a limited timeframe. Moron.

          • 4 weeks ago
            Anonymous

            So you know frick all about the book but are hell-bent on hating it. I will now hide your shitposts

          • 4 weeks ago
            Anonymous

            I'm not "hating" on the book you idiot.

          • 4 weeks ago
            Anonymous

            >>His proofs are also very concise
            >Yeah, because that is perfect for self-study in a limited timeframe
            i know youre not very smart but trimming the fat is actually great for self study. Proofs shouldnt be novels. Actually try passing any math exam when you're incapable of concisely expressing yourself kek
            >I know you didn't learn Linear Algebra or even any math subject over the summer
            why project lol. Ive read several books over the summer and even during university. i havent completed gorodentsev but read enough to know it's one of the more pedagogically valiable algebra books
            as for the other nonsense you said
            >doing problems is very important and more time should be done doing that than reading.
            you should spend most of your time comprehending the theory and proofs to then use those or similar techniques and ideas in your own proofs. problem solving can be a waste of time if you massively lack the resources for a problem, just look at all the schizos here trying to prove millennium prize problems.

          • 4 weeks ago
            Anonymous

            >Actually try passing any math exam when you're incapable of concisely expressing yourself kek
            Deciphering a concise proof and writing a concise proof are two different things, genius.
            >Ive read several books over the summer and even during university.
            Doesn't mean anything. I asked if you LEARNED a subject over the summer from a book. You haven't. If you don't care how much you absorb or how far you get, then reading any book is fine.

            >you should spend most of your time comprehending the theory
            How can you "comprehend" the theory without doing problems?
            >and proofs?
            Making sure you understand and can follow proofs is good, but you should also be able to write your own proofs. Also, computational problems help with understanding. And if you can't solve a 4x4 system by hand on paper (given enough time) then you suck at linear algebra.
            >problem solving can be a waste of time if you massively lack the resources for a problem, just look at all the schizos here trying to prove millennium prize problems.
            What the frick are you talking about? OP wants to learn basic linear algebra. I bet they are barely out of the calculus sequence.

          • 4 weeks ago
            Anonymous

            >i know youre not very smart but trimming the fat is actually great for self study.
            I find it funny that you claim I'm not smart when you type like a sixth grader.

            >Deciphering a concise proof and writing a concise proof are two different things
            You learn to write concise proofs by reading them in the first place. Break them down to know what's necessary to include and what's not. Overly wordy proofs tend to be more confusing than helpful. Any grad student knows this. You even have books like Kallenberg's probability explicitly mentioning that in the preface.
            >How can you "comprehend" the theory without doing problems?
            By working out the ideas that make the proof work and coming up with your own examples (get into research and you'll see that it is possible to learn about something without doing exercises). Not to mention, Gorodentsev differentiates between exercises and problems.
            >computational problems help with understanding
            You can easily come up with these yourself but Goro includes a few nontrivial ones too. In any case, it can be largely useless too, like inverting a large matrix over the field of 4 elements.
            >What the frick are you talking about?
            It's clear once you read more math books. You shouldn't waste too much time on unreasonable problems. Some authors also like to put open problems in their books.
            >Doesn't mean anything. I asked if you LEARNED a subject over the summer from a book
            I have. I memorized the proof ideas and techniques and successfully applied them in my research and coursework. I've also solved quite many exercises in a lot of them and come up with my own examples and applications.
            You can learn a lot from books and certainly finish a 400+ page one within a few months if you're motivated. Even the reading courses at my university tackle bigger books over the summer.
            Just stop assuming OP is some apathetic moron

          • 4 weeks ago
            Anonymous

            >Just stop assuming OP is some apathetic moron
            Dude, you're suggesting OP learn linear algebra from a graduate book that includes a lot of unnecessary material. You're an idiot.

          • 4 weeks ago
            Anonymous

            >i know youre not very smart but trimming the fat is actually great for self study.
            I find it funny that you claim I'm not smart when you type like a sixth grader.

    • 1 month ago
      Anonymous

      Kek

      • 1 month ago
        Anonymous

        it's nice, right

    • 1 month ago
      Anonymous

      based

      I swear this board has the stupidest autists when it comes to book recommendations. Do you really think it is feasible to learn linear algebra from self study over a SUMMER from this book?

      its absolutely doable if youre not a brainlet. Ive read some chapters of gorodentsev before and hes very good at motivating whatever he'll introduce and incorporating all the advanced algebra meaningfully, puiseux series were done particularly well. His proofs are also very concise

    • 4 weeks ago
      Anonymous

      >Gorodentsev. Algebra
      https://www.youtube.com/playlist?list=PLq3E5oubNNoBDXd2qvs2WF17L6az7MzCM
      Lectures by the author

    • 4 weeks ago
      Anonymous

      /mg/ approves

  3. 1 month ago
    Anonymous

    Shlomo Sternberg's Advanced Calculus. Does both analysis and linear algebra

    • 1 month ago
      Anonymous

      based

    • 1 month ago
      Anonymous

      [...]
      seconding these. They've some of the best exercises I've ever come across in a textbook. Sternberg's way of doing calculus on manifolds is also extraordinarily based

      based

      The book is too difficult and at the same time shallow. One of the worst book ever written. Not appropriate for anymore.
      It's not like doing multivariable calculus with differential forms and manifolds is such an obscure topic today.

      https://i.imgur.com/iI9EF5O.jpeg

      I need to learn linear algebra over the summer, I've heard good things about this textbook and I saw it has a new edition that came out this year. Has anyone read it? What's your favorite linear algebra textbook?

      It's a meme answer. Ignore it OP.
      I honestly think it's more efficient to go through a problem book. Like Halmos' or John Erdman's.

      • 1 month ago
        Anonymous

        Sternberg's treatment of ODEs and classical mechanics is very based though. I agree that some exercises are ball-bustingly difficult though

  4. 1 month ago
    Anonymous

    If you need to use Axler, use it as a supplement to Harvard's Math55 or else you'll miss out on a lot of important math

  5. 1 month ago
    Anonymous

    >another "how do i learn x" thread
    *yawn* just follow the /mg/ curriculum https://sheafification.com/the-fast-track/

  6. 1 month ago
    Anonymous

    Just use Shilov. It's concise and cheap.

  7. 1 month ago
    Anonymous

    Katznelson's Terse Introduction into Linear Algebra. Short and great exercises

    • 1 month ago
      Anonymous

      Actually good recommendation

  8. 1 month ago
    Anonymous

    "Advanced Linear Algebra" provided you're not a brainlet

    • 1 month ago
      Anonymous

      Roman's book is actually good and not all that advanced. I'm pretty sure most undergrads could read it just fine

  9. 1 month ago
    Anonymous

    Blyth's module theory

  10. 1 month ago
    Anonymous

    Dieudonné

  11. 1 month ago
    Anonymous

    Greub

  12. 1 month ago
    Anonymous

    just start reading lazy gay.

  13. 1 month ago
    Anonymous

    Bourbaki Algebre 1-3

  14. 1 month ago
    Anonymous

    Lang's algebra has a great chapter in linear algebraä

  15. 1 month ago
    Anonymous

    Op, just pick whatever book your university uses for the intro linear algebra course or look up what is commonly used in intro courses. Do problems and supplement with online notes and ask questions online.

    • 1 month ago
      Anonymous

      Seconding this OP, every linear algebra book is missing /something/ (in Axler’s case, determinants) so you’ll do best with a syllabus or course notes to guide you.

  16. 1 month ago
    Anonymous

    Lin alg. is easy, you just need to grind problem sets

  17. 1 month ago
    Anonymous

    I have to take calc 1 this summer, any advice? I’m not Asian or white btw.

    • 1 month ago
      Anonymous

      Start here

    • 1 month ago
      Anonymous

      Calculus With Applications Peter Lax

    • 1 month ago
      Anonymous

      Amann Escher, Analysis I.

    • 1 month ago
      Anonymous

      Sternberg, Advanced Calculus

  18. 1 month ago
    Anonymous

    Finite-Dimensional Vector Spaces Halmos

  19. 1 month ago
    Anonymous

    If you're an Engineering student, read pic rel and save yourself from all the rigor bullshit.
    It also has sections when it goes through the real life application of concepts in linear algebra

    • 1 month ago
      Anonymous

      literally useless

      • 4 weeks ago
        Anonymous

        You are useless

      • 4 weeks ago
        Anonymous

        Can concur.

      • 4 weeks ago
        Anonymous

        Can Concur

  20. 1 month ago
    Anonymous

    what about this? it’s linear algebra applied to calculus.

    anything similar but for differential equations?

  21. 1 month ago
    Anonymous

    if someone recommends Axler's book he is full of shit and never read it. completely useless book

  22. 1 month ago
    Anonymous

    >>no mention of hoffman and kunze
    IQfy has fallen

  23. 1 month ago
    Anonymous

    While I can't provide personal opinions or experiences, I can offer some insights into popular linear algebra textbooks based on reviews and recommendations.

    One highly regarded linear algebra textbook is "Linear Algebra and Its Applications" by David C. Lay, Steven R. Lay, and Judi J. McDonald. It's known for its clear explanations, numerous examples, and practical applications of linear algebra concepts. Many students and instructors find it accessible and comprehensive for learning linear algebra.

    Another popular choice is "Introduction to Linear Algebra" by Gilbert Strang. This textbook is praised for its intuitive explanations and emphasis on geometric interpretations of linear algebra concepts. It's often recommended for its readability and clarity, especially for those new to the subject.

    Additionally, "Linear Algebra Done Right" by Sheldon Axler is well-regarded for its rigorous approach to linear algebra. It focuses on conceptual understanding and proofs, making it suitable for students interested in a deeper understanding of the subject.

    Ultimately, the best linear algebra textbook for you will depend on your learning style, mathematical background, and personal preferences. It may be helpful to browse through the table of contents, read reviews, and perhaps even sample a few chapters to see which book resonates with you the most.

    • 4 weeks ago
      Anonymous

      Thanks chatgpt.

  24. 1 month ago
    Anonymous

    https://www.youtube.com/@TheMathSorcerer

  25. 1 month ago
    Anonymous

    Gorodentsev for undergrad and Lang for grad is the /mg/ curriculum

  26. 1 month ago
    Anonymous

    >Basic Set Theory and Algebra: Hints on Representation, Topology, Geometry, Analysis
    https://arxiv.org/pdf/2101.02031.pdf

    • 4 weeks ago
      Anonymous

      Category theory propaganda

    • 4 weeks ago
      Anonymous

      >book about category theory
      >finished in 2021
      Poor guy. If he’d done this 10 years sooner, he would have been employable

  27. 4 weeks ago
    Anonymous

    what about Linear Algebra by Shilov?

  28. 4 weeks ago
    Anonymous

    axler is alright, don't know why people are hating on this book

    • 4 weeks ago
      Anonymous

      >axler is alright, don't know why people are hating on this book
      Because determinants are haram for him so he "defines" the characteristic polynomial first as (z-λ1)...(z-λn) only for the complex case then has to explain complexification and tie himself into knot for the real case and who cares for arbitrary fields lol while sane people just go with det(A- λI) and call it a day.

  29. 4 weeks ago
    Anonymous

    If you want a braindead/CS-tier overall outlook on Linear Algebra (or glorified exercise book)

    >Anton
    >Lay
    >Strang

    If you want somewhat rigorous book
    >Kunze
    >Insel/Spence/Friedberg
    >Pelletier

    If you want to go ham, and don't mind slavrunes.
    >A.Г. Кypoш - Кypc Bыcшeй Aлгeбpы
    >Ильин, Пoзняк - Линeйнaя Aлгeбpa
    >Бeклeмишeв - Кypc Aнaлитичecкoй Гeoмeтpии и Линeйнoй Aлгeбpы

    • 4 weeks ago
      Anonymous

      >If you want a braindead/CS-tier overall outlook on Linear Algebra (or glorified exercise book)

      >>Lay

      >If you want somewhat rigorous book

      I took a lower division class with Anton, then an upper division class with Insel/Spence/Friedberg. I felt well-prepared. Granted, I had a really good teacher for the first course. Maybe some are fine skipping books like this, but I don't recommend it.

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