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

[LevLandau]

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.

 

[bacte2013]

APEX Calculus has free three-volume set in the general calculus. The books are very awesome!

 

[Bibleman]

Thanks very much for the information.

 

[Chadi B Ghaith]

Hi, Thank you for sharing a list of free reference books.

 

[Logical Dog]

free legal link to zakons book : http://www.trillia.com/zakon1.html

Book of proof. really rigourous and good intro to basic foundations of maths. FREE HERE

http://www.people.vcu.edu/~rhammack/BookOfProof/

 

[Munawar84]

Thank you. I needed this book Collaborative Statistics

 

[Muhammad Khalid Khan]

Thanks a lot,, Greg!

 

[Skyline-7]

Great list. Thank you

If I find something interesting & free, I will certainly add it. Thanks again.

 

[kaysalas]

Hi, I downloaded the "A Text Book for High School Students Studying Physics" text here and found it very interesting. I am a self learner and would love to check my answers to the exercise questions if they are right. Is there an answer booklet for that? If not, can you please provide answers to the chap. 2 questions

 

[Baluncore]

The Bateman Manuscript Series.

Higher Transcendental Functions, Vol 1, 1953, Bateman Manuscript Series.pdf – 2.9MB.
http://apps.nrbook.com/bateman/Vol1.pdf

Higher Transcendental Functions, Vol 2, 1953, Bateman Manuscript Series.pdf – 3.4MB.
http://apps.nrbook.com/bateman/Vol2.pdf

Higher Transcendental Functions, Vol 3, 1955, Bateman Manuscript Series.pdf – 35.9MB.
http://authors.library.caltech.edu/43491/10/Volume 3.pdf

Tables of Integral Transforms, Vol1 , 1954, Bateman Harry.pdf – 57.9MB.
http://authors.library.caltech.edu/43491/1/Volume%201.pdf

Tables of Integral Transforms, Vol 2 , 1954, Bateman Harry.pdf – 51.6MB.
http://authors.library.caltech.edu/43489/7/Volume 2.pdf

Also keep an eye on: http://www.gutenberg.org/wiki/Mathematics_%28Bookshelf%29

 

[Zang]

Advance Engineering Mathematics

 

[fresh_42]

Here's a developing library of the AMS for open mathematical literature:
https://www.ams.org/open-math-notes

 

[vanhees71]

Seems to be nice, but has this annoying recaptcha nonsense :-((((.

 

[fresh_42]

Seems to be nice, but has this annoying recaptcha nonsense :-((((.

Yes, but could have been worse "u9I0zX". It's only a checkbox and remember "Geschenktem Gaul ...". I've found some contributions from Toronto. Not the worst address.

 

[Baolax0805]

https://openstax.org/subjects/math
A free source for university or college textbook :)

 

[Qamerash]

My math is the worst in all my subjects ,

 

[Nucleus _Basalis]

Math textbooks that are free and can be read online or can be downloaded as ".pdf" :

https://open.umn.edu/opentextbooks/SearchResults.aspx?subjectAreaId=7

Enjoy

 

[MidgetDwarf]

http://discrete.openmathbooks.org/home.php

a really good introduction to discrete mathematics. Book is available for free, or you can purchase on Amazon for a small fee. I really liked the chapter on logic and proof.

 

[Scrumhalf]

My high school son is currently enrolled in a Linear Algebra class at a pretty highly regarded liberal arts college in our town.

They follow Hefferon's Linear Algebra. The entire book (3rd edition) is available online for free:

http://joshua.smcvt.edu/linearalgebra/book.pdf

 

[archaic]

Everything is free (legal of course) :

A pdf from Oxford University for undergraduate students, it's a guide book.
How do undergraduates do mathematics? A guide to studying mathematics at Oxford University

An inquiry-based approach to abstract algebra (the pdf), main page

College trigonometry
College algebra
Precalculus

A course of pure mathematics

A beautiful journey through olympiad geometry

Linear algebra done wrong

 

[archaic]

No one mentioned archive.org? especially MIR's collections?
https://archive.org/details/@mirtitles

Does anyone know whether these are copyright free or not?

 

[Baluncore]

MIR are copyright free.
https://mirtitles.org/

 

[archaic]

MIR are copyright free.
https://mirtitles.org/

I find no legal mentions on that website.

 

[FourEyedRaven]

Oxford University has lecture notes on pretty much every mathematics and physics subjects.


https://courses.maths.ox.ac.uk/overview/undergraduate

 

[FourEyedRaven]

A large collection of lecture notes from Cambridge University on this Sync cloud. Includes physics and mathematics.


https://ln.sync.com/dl/1f4af5c40/9hi9gt4i-evpn76tq-badt8eaz-ckxem3zf

 

[David_Zheng]

Feel free to add your own links to free books. Let me know if there are broken links or copyright issues.

• https://pantherfile.uwm.edu/sorbello/www/classes/mathematica_primer.pdf
• Advanced Calculus
• http://www.hs-weingarten.de/~ertel/vorlesungen/mae/matheng-skript-1213.pdf
• http://www.ampl.com/BOOK/download.html
• An Introduction to Higher Mathematics
• http://www.maths.manchester.ac.uk/~nige/IMRpartI.pdf
• An Introduction to Mathematics
• http://www.math.vt.edu/people/day/ProofsBook/
• A Tour of Triangle Geometry
• Analysis 1 (Tao T)
• Analysis 2 (Tao T)
• Analytic Functions
• Basic Algebra, Topology and Differential Calculus
• Basic Concepts of Mathematics
• http://www.alamosalibrary.org/images/BasicMatheBook.pdf
• http://physics.bgsu.edu/~tiede/class/bmastronomy1.2.pdf
• Book of Proof
• Calculus
• Classical Geometry
• Collaborative Statistics
• College Algebra
• Complex Analysis
• Computational Geometry
• Computational Introduction to Number Theory and Algebra
• Cook-Book Of Mathematics
• Differential Equations
• Elementary Linear Algebra
• Encyclopaedia of Mathematics
• http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.110.1881&rep=rep1&type=pdf
• Engineering Mathematics with Tables
• http://www.zums.ac.ir/files/research/site/ebooks/mathematics/essential-engineering-mathematics.pdf
• Foundations of Nonstandard Analysis
• http://hkumath.hku.hk/course/MATH1001/
• Fundamentals of Analysis (Chen W.W.L)
• Further Mathematical Methods
• Geometric Asymptotics
• Geometry and Group Theory
• Geometry and Topology
• Geometry Formulas and Facts
• http://www.cherokee.k12.ga.us/Schools/woodstock-hs/mediacenter/TEST%20PREP%20DOCUMENTS%20FOR%20YOU/Geometry%201a%20EOCT%20Study%20Guide.pdf
• http://futuretg.com/FTHumanEvolutionCourse/FTFreeLearningKits/03-PH-Physics,%20Chemistry%20and%20Free%20Energy/044-PH08-The%20Unified%20Theory/Mikio%20Nakahara%20-%20Geometry,%20Topology%20and%20Physics.pdf
• Geometry, Topology, Localization and Galois Symmetry
• Handbook of Formulae and Physical Constants
• High School Mathematics Extensions
• Higher Mathematics for Engineers and Physicists
• Homeomorphisms in Analysis
• Intrinsic Geometry of Surfaces
• Introduction To Finite Mathematics
• Introduction to Social Network Methods
• Lecture Notes in Discrete Mathematics
• Lectures on Riemann Zeta-Function
• http://www.math.princeton.edu/math_alive/notes.shtml
• Mathematical Analysis I(Zakon E)
• Mathematical Biology
• Mathematical Methods
• Mathematical Methods 1
• http://www.southampton.ac.uk/~leor/soton/MATH1007/NOTES1007-skel.pdf
• Mathematical Methods of Engineering Analysis
• Mathematics, Basic Math and Algebra
• http://ocw.mit.edu/courses/electrical-engineering-and-computer-science/6-042j-mathematics-for-computer-science-spring-2010/readings/
• Mathematics for Computer Science
• http://www.ftvs.cuni.cz/hendl/metodologie/gentle-introduction-to-mathematics-for-computer.pdf
• Mathematics for the Physical Sciences
• Mathematics Formulary
• http://homepages.abdn.ac.uk/mth192/pages/html/music.pdf
• http://www.math.psu.edu/roe/597F/notes.pdf
• http://maths.mq.edu.au/numeracy/reviewbasicmaths.pdf
• Riemann Surfaces, Dynamics and Geometry Course Notes
• Street-Fighting Mathematics
• The Convenient Setting of Global Analysis
• The Eightfold Way: The Beauty of Klein’s Quartic Curve
• http://math.rice.edu/~pcmi/sphere/
• http://edoutreach.wpafb.af.mil/ed_outreach/pages/ed-resources/math_handbook1.pdf
• Three Dimensional Geometry
• Unfolding the Labyrinth

Thank you Sir, it's pretty helpful!

 

[Neeleshatom]

Can you suggest bookss containing entire maths from basics

 

[FourEyedRaven]

Can you suggest bookss containing entire maths from basics

There's a collection of lecture notes from Cambridge University with pretty much every Maths & Physics course you'll come across in university. And it includes lecture notes for preliminary basic material.

https://ln.sync.com/dl/1f4af5c40/9hi9gt4i-evpn76tq-badt8eaz-ckxem3zf

If you're asking for a free mathematics book containing (pretty much) everything, it doesn't exist. There are a few good handbooks, but they're not free, and they're not complete.

 

[vanhees71]

If there's anything coming close to the idea to have books containing "entire math", maybe it's Bourbaki's multi-volume work...

 

[StoneTemplePython]

from now till until July 2020: Axler's Linear Algebra Done Right is free to download here:
https://link.springer.com/book/10.1007/978-3-319-11080-6

(Axler himself posted a blurb about this on math stackexchange)