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Math Help - Lecture Notes

  1. #1
    MHF Contributor Drexel28's Avatar
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    Lecture Notes

    Hey friends, I have realized that there is an absolute wealth of free (and legal) mathematical literature on the web. Namely, people who teach courses generally make course notes which are often as good, if not better, than most books on the subject. Thus, I have amassed quite an enormous collection of very, very good course notes on most subjects one could want to learn about:
    Spoiler:

    Measure Theory

    Functional Analysis

    Algebraic Geometry

    Representation Theory (Finite and Lie Groups)

    Basic and Algebraic Number Theory

    Enumerative Combinatorics

    Algebraic Combinatorics

    Linear and Multilinear algebra

    Category Theory

    Differential Geometry

    Differential Topology

    Homological Algebra

    Complex Analysis (Single and Multivariable)

    Field Theory

    Class Field Theory

    Semigroup Theory

    Universal Algebra

    Monoid Theory

    Coalgebras

    Hopf Algebras

    Operator Theory

    Set Theory

    General Topology

    Algebraic Topology (Basic, Homotopy Theory, Homology Theory, etc.)

    Order Theory

    Noncommutative Ring Theory

    etc.




    It's laborious to find all these notes on your own, but it's also very laborious for me to post them all up here. So, if anyone would like notes on one of these particular topics (or other ones, I have more than I listed) just let me know and I'll link you to where you can find them.
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  2. #2
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  3. #3
    MHF Contributor Drexel28's Avatar
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    Re: Lecture Notes

    Very nice!! Sadly, a lot of the links are broken !
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  4. #4
    MHF Contributor Drexel28's Avatar
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    Re: Lecture Notes

    Quote Originally Posted by Drexel28 View Post
    Very nice!! Sadly, a lot of the links are broken !
    In fact, it seems like over 50% are either down or can't be accessed from outside Cambridge. Also, those seem to be more quick one-section notes. I am looking for most almost-books. Things like this, this, or this. Thanks though! I'll definitely look through those!
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    Re: Lecture Notes

    Can I have a link to linear algebra and operator theory?
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  6. #6
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  7. #7
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    Re: Lecture Notes

    thank you
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  8. #8
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    Re: Lecture Notes

    Please give a link for linear algebra ,Numerical method, and a calculus ebook
    Thanx in advance
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