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School starts soon, and I know students are looking to get their textbooks at bargain prices ![Money-mouth face :money_mouth: đ€](https://cdn.jsdelivr.net/joypixels/assets/8.0/png/unicode/64/1f911.png)
Inspired by this thread I thought that I could share some of my findings of 100% legally free textbooks and lecture notes in mathematics and mathematical physics (mostly focused on geometry) (some of these are pre-prints of published books) (some you can download as a pdf, some you have to read online)![Books :books: đ](https://cdn.jsdelivr.net/joypixels/assets/8.0/png/unicode/64/1f4da.png)
![Desktop computer :desktop: đ„ïž](https://cdn.jsdelivr.net/joypixels/assets/8.0/png/unicode/64/1f5a5.png)
There are many many more out there, and I have for sure not read all of the ones in this post. If you have read any of these, or have other suggestions, feel free to share it in this thread
(The ones that I have read, I will write about at some point).
Note: I have not included video lecture series, or interactive sites, only stuff you can read like a textbook.
I might do another thread in the future for physics books...![Atom :atom: :atom:](https://www.physicsforums.com/styles/physicsforums/xenforo/smilies/icons/atom.png)
![Glowing star :star2: đ](https://cdn.jsdelivr.net/joypixels/assets/8.0/png/unicode/64/1f31f.png)
Anyway, here you go, enjoy![Wrapped gift :gift: đ](https://cdn.jsdelivr.net/joypixels/assets/8.0/png/unicode/64/1f381.png)
![Money-mouth face :money_mouth: đ€](https://cdn.jsdelivr.net/joypixels/assets/8.0/png/unicode/64/1f911.png)
Inspired by this thread I thought that I could share some of my findings of 100% legally free textbooks and lecture notes in mathematics and mathematical physics (mostly focused on geometry) (some of these are pre-prints of published books) (some you can download as a pdf, some you have to read online)
![Books :books: đ](https://cdn.jsdelivr.net/joypixels/assets/8.0/png/unicode/64/1f4da.png)
![Desktop computer :desktop: đ„ïž](https://cdn.jsdelivr.net/joypixels/assets/8.0/png/unicode/64/1f5a5.png)
There are many many more out there, and I have for sure not read all of the ones in this post. If you have read any of these, or have other suggestions, feel free to share it in this thread
Note: I have not included video lecture series, or interactive sites, only stuff you can read like a textbook.
I might do another thread in the future for physics books...
![Atom :atom: :atom:](https://www.physicsforums.com/styles/physicsforums/xenforo/smilies/icons/atom.png)
![Glowing star :star2: đ](https://cdn.jsdelivr.net/joypixels/assets/8.0/png/unicode/64/1f31f.png)
Anyway, here you go, enjoy
![Wrapped gift :gift: đ](https://cdn.jsdelivr.net/joypixels/assets/8.0/png/unicode/64/1f381.png)
Differential equations âNotes of Diffy Qs: Differential equations for engineersâ https://www.jirka.org/diffyqs/diffyqs.pdf more info https://www.jirka.org/diffyqs/ Even though the title says âfor engineersâ the stuff should be pretty good for for pure math and physics too! âDifferential equations (Paulâs online notes)â https://tutorial.math.lamar.edu/Classes/DE/DE.aspx âElementary differential equationsâ https://digitalcommons.trinity.edu/cgi/viewcontent.cgi?article=1007&context=mono âDifferential equations (Math online)â http://mathonline.wikidot.com/differential-equations "Ordinary Differential Equations and Dynamical Systems (Teschl)" https://www.mat.univie.ac.at/~gerald/ftp/book-ode/ode.pdf more info https://www.mat.univie.ac.at/~gerald/ftp/book-ode/ |
Complex analysis âA first course in complex analysisâ http://math.sfsu.edu/beck/papers/complexorth.pdf more info https://matthbeck.github.io/complex.html âGuide to Cultivating Complex Analysis - Working the Complex Fieldâ https://www.jirka.org/ca/ca.pdf more info https://www.jirka.org/ca/ âComplex analysisâ http://mathonline.wikidot.com/complex-analysis |
Abstract algebra âAbstract algebra: Theory and applicationsâ http://abstract.ups.edu/download/aata-20220728.pdf more info http://abstract.ups.edu/ âAlgebra: abstract and concreteâ http://homepage.divms.uiowa.edu/~goodman/algebrabook.dir/book.2.6.pdf more info http://homepage.divms.uiowa.edu/~goodman/algebrabook.dir/algebrabook.html âElements of abstract and linear algebraâ https://www.math.miami.edu/~ec/book/book.pdf more info https://www.math.miami.edu/~ec/book/ âAbstract algebraâ http://mathonline.wikidot.com/abstract-algebra âIntroduction to algebraic structuresâ https://batch.libretexts.org/print/Finished/math-666/Full.pdf more info https://math.libretexts.org/Bookshelves/Abstract_and_Geometric_Algebra/Introduction_to_Algebraic_Structures âAbstract algebra: the basic graduate yearâ https://faculty.math.illinois.edu/~r-ash/Algebra.html |
Topology âTopology without tearsâ http://www.topologywithouttears.net/topbook.pdf more info https://www.topologywithouttears.net/ âTopologyâ http://mathonline.wikidot.com/topology |
Measure theory and integration âMeasure, Integration & Real Analysisâ https://measure.axler.net/MIRA.pdf more info https://measure.axler.net/ âAn introduction to measure theoryâ https://terrytao.files.wordpress.com/2012/12/gsm-126-tao5-measure-book.pdf more info https://terrytao.wordpress.com/books/an-introduction-to-measure-theory/ âMeasure theoryâ http://mathonline.wikidot.com/measure-theory |
Functional analysis âLectures on functional analysisâ http://facultymembers.sbu.ac.ir/shahrokhi/HasseOpeThe.pdf âIntroduction to functional analysis (Daners)â https://www.maths.usyd.edu.au/u/athomas/FunctionalAnalysis/daners-functional-analysis-2017.pdf âIntroduction to functional analysis (Kisil)â http://www1.maths.leeds.ac.uk/~kisilv/courses/math3263m.pdf âFunctional analysisâ http://mathonline.wikidot.com/functional-analysis |
Differential geometry/ Mathematical Physics âDifferential geometry in physicsâ http://people.uncw.edu/lugo/COURSES/DiffGeom/DG1.pdf more info http://people.uncw.edu/lugo/COURSES/DiffGeom/index.htm âQuick introduction to tensor analysisâ https://arxiv.org/pdf/math/0403252.pdf âA geometrical approach to differential formsâ https://maths.dur.ac.uk/users/mark.a.powell/Bachman_Geometric_Approach_to_Differential_Forms.pdf âA simple introduction to particle physics part IIâ https://arxiv.org/pdf/0908.1395.pdf part I is also worth to check out âMathematics for Physics: An illustrated handbookâ https://www.mathphysicsbook.com/intro/ |
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