Free Math Books: Links to Advanced Calculus, Geometry, and More!

In summary: The conversation is about various free online resources for learning mathematics and physics. The participants are sharing links to different textbooks and lecture notes that are available for free. They also discuss the copyright issues and broken links that may occur. In summary, the conversation covers a wide range of topics and resources, including calculus, analysis, algebra, geometry, topology, number theory, statistics, and physics. Some notable links mentioned include "Power Programming with Mathematica" by David B. Wagner, "Stacks" by open source textbook on algebraic stacks and algebraic geometry, "Euclid's Elements with Annotations" for original text reference, and several books and lecture notes by Robert Ash and Kenneth Kuttler. Overall, the conversation highlights the abundance of free resources
  • #1
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Feel free to add your own links to free books. Let me know if there are broken links or copyright issues.
 
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  • #2
Feel free to add your own links to free books. Let me know if there are broken links or copyright issues.
 
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  • #4
Stacks is an open source textbook on algebraic stacks and the related algebraic geometry.
 
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  • #6
Robert Ash from Illinois has placed a handful of math books online (http://www.math.uiuc.edu/~r-ash/). His books tend to include solutions to the problems.

The books are:

Real variables with basic metric space topology (undergrad intro analysis level): http://www.math.uiuc.edu/~r-ash/RV.html
Basic probability theory (undergrad): http://www.math.uiuc.edu/~r-ash/BPT.html
Lectures on statistics (undergrad): http://www.math.uiuc.edu/~r-ash/Stat.html
Complex variables (undergrad/grad): http://www.math.uiuc.edu/~r-ash/CV.html

Abstract algebra: the basic graduate year (grad): http://www.math.uiuc.edu/~r-ash/Algebra.html
A course in algebraic number theory (grad): http://www.math.uiuc.edu/~r-ash/ANT.html
A course in commutative algebra (grad): http://www.math.uiuc.edu/~r-ash/ComAlg.html
 
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  • #7
Kenneth Kuttler at BYU has a few books and a bunch of lecture notes available on his web site: http://www.math.byu.edu/klkuttle/

A few of the books are:

Calculus, Applications and Theory (comprehensive undergrad for 3-4 semesters of courses with single variable, multi-variable and vector calculus with some ODEs and linear algebra in the mix. More rigorous than traditional text as introduces sup and inf in first chapter, etc.): http://www.math.byu.edu/~klkuttle/calcbookBshortold.pdf

Elementary linear algebra (undergrad); http://www.math.byu.edu/~klkuttle/0000ElemLinearalgebratoprint.pdf

Single variable advanced calculus (undergrad analysis text, includes Riemann-Stieltjes integral, Fourier series and generalized Riemann integral): http://www.math.byu.edu/~klkuttle/AdvancedCalculusSV.pdf

Many variable advanced calculus (undergrad, includes Lebesgue integral and differential forms): http://www.math.byu.edu/~klkuttle/AdvancedCalculusMV.pdf

jason
 
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  • #8
Thanks so much for your help friend :) have a good day!
 
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  • #11
http://www.tolani.edu/tmi/userfiles/files/john_bird_engineering_mathematics_0750685557.pdf
 
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  • #12
http://faculties.sbu.ac.ir/~sadough/pdf/Advanced%20Engineering%20Mathematics%2010th%20Edition.pdf

http://www.hs-weingarten.de/~ertel/vorlesungen/mae/matheng-skript-1213.pdf
 
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  • #17
You are a good person.
 
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  • #18
http://physics.bgu.ac.il/~gedalin/Teaching/Mater/am.pdf
 
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  • #19
Thank you.
 
  • #21
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  • #22
This is incredible, thank you mathwonk!
 
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  • #28
Anyone know what the actual textbook for Tao's Analysis I and II was? The UCLA web page isn't available anymore, that is, the syllabus for example.
 
  • #29
I just recently stumble on this guy's post. He looks really smart and he even gives advice on tackling maths and physics if interested.
http://www.math.ucr.edu/home/baez/books.html
All of those links are working as of today 19/may/16

Sorry! forgot to tell that there are a lot of books in physics, mathematics and mathematical physics,

Cheers!
 
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  • #30
Use vdisk.weibo. You can free download any book on this site.. There are 1000+ books on my computer. You can download all the mathematics and physics series.
 
  • #31
http://nozdr.ru/biblio/kolxo3 ~ See this site. 25509 math and 14016 physics books,articles are available. (free) http://nozdr.ru/biblio/kolxo3/m - mathematics, http://nozdr.ru/biblio/kolxo3/p - physics.
 
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  • #32
APEX Calculus has free three-volume set in the general calculus. The books are very awesome!
 
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  • #33
Thanks very much for the information.
 
  • #34
Hi, Thank you for sharing a list of free reference books.
 

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