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

[Greg Bernhardt]

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

 

[Greg Bernhardt]

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

• A Brief Introduction to Particle Physics
• A Review of General Chemistry
• A Simple Guide to Backyard Astronomy
• A Text Book for High School Students Studying Physics
• Advanced High-School Mathematics
• http://www.maths.manchester.ac.uk/~nige/IMRpartI.pdf
• An Introduction to Mathematics
• Astronomy for Amateurs
• http://www.mhtlab.uwaterloo.ca/courses/ece309/lectures/pdffiles/summary_ch1.pdf
• Basic Concepts of Thermodynamics Chapter 1
• http://www.xenware.net/ancq/1569/ONE-01.pdf
• http://www.alamosalibrary.org/images/BasicMatheBook.pdf
• http://physics.bgsu.edu/~tiede/class/bmastronomy1.2.pdf
• Basic Physics
• http://www.star.ac.za/course-resources/local/david-buckley/basics1.pdf
• Basic Principles of Classical and Statistical Thermodynamics
• Basic Principles of Physics
• Basics of Physics
• Beginner’s Botany
• Beginner’s Guide to Mathematica
• Biochemistry
• http://www.ets.org/Media/Tests/GRE/pdf/BioChem.pdf
• Classical Mechanics
• College Physics
• Discover Physics
• Elementary Particle Physics in a Nutshell
• Encyclopedia of Astrophysics
• Essential Physics
• General Chemistry
• Introduction to Astronomy and Cosmology
• http://www.zums.ac.ir/files/research/site/ebooks/biology-biochemistry/introduction-to-cancer-biology.pdf
• Introduction to Chemistry
• Introduction to General Biology
• Introductory Physics 1
• Introductory Physics 2
• Light and Matter
• Mathematics, Basic Math and Algebra
• Motion Mountain
• http://missionscience.nasa.gov/sun/MysteriesOfTheSun_Book.pdf
• On Particle Physics
• http://www.hep.ucl.ac.uk/~markl/pp2020/pp_itmatters_a4.pdf
• Physics Lectures
• Physics Study Guides
• Preparing for College Physics
• http://maths.mq.edu.au/numeracy/reviewbasicmaths.pdf
• Simple Nature
• http://www.physics.usu.edu/shane/classes/astrophysics/lectures/lec02_astroBasics.pdf
• Special Relativity
• The Beginning and the End
• The Beginning and the Evolution of the Universe
• The Complete Idiot’s Guide to the Sun
• https://dl.dropboxusercontent.com/u/35004882/TheOpenAgenda_book.pdf
• The Structures of Life
• Understanding Physics

 

[SredniVashtar]

Er... should we add posts down here?
A licensed copy of Power Programming with Mathematica by David B. Wagner can be found here:
https://www.dropbox.com/s/j2dsyvptnxjd369/Wagner All Parts-RC.pdf
(here's proof it's a legit download)

 

[slider142]

Stacks is an open source textbook on algebraic stacks and the related algebraic geometry.

 

[slider142]

Euclid's Elements with Annotations is an excellent free reference to the original text for the modern, interested student.

 

[jasonRF]

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

 

[jasonRF]

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

 

[CarlosDSh]

Thanks so much for your help friend :) have a good day!

 

[AKSHATA ANNAM]

Thank you sooo much :-)

 

[William97]

Thank you for these books, but I'm not sure if you are aware that the link for :Higher Mathematics for Engineers and Physicists is broken...

 

[phion]

http://www.tolani.edu/tmi/userfiles/files/john_bird_engineering_mathematics_0750685557.pdf

 

[phion]

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

 

[phion]

http://kisi.deu.edu.tr//ali.sevimlican/Peter_V__O'Neil-Advanced_Engineering_Mathematics,_7th_Edition__-Cengage(2011).pdf]Advanced[/PLAIN] Engineering Mathematics 7th Edition

 

[Greg Bernhardt]

Nice additions @phion

 

[phion]

Basic Probability Theory

 

[phion]

Introduction to Functional Analysis

Functional Analysis

 

[who-I-am]

You are a good person.

 

[Carlos Gouveia]

http://physics.bgu.ac.il/~gedalin/Teaching/Mater/am.pdf

 

[Glype11]

Thank you.

 

[slider142]

Game Theory

 

[mathwonk]

free books from springer:

https://gist.github.com/bishboria/8326b17bbd652f34566awell that was too good to be true for long anyway. these links no longer work. and i didn't download a single one!

 

[KiggenPig]

This is incredible, thank you mathwonk!

 

[slider142]

Basic Algebra and Advanced Algebra by Anthony W Knapp are a pair of books that cover modern algebra, from polynomials to algebraic geometry.

 

[slider142]

Homotopy of Operads and Grothdieck-Teichmüller Groups by Benoit Fresse

 

[mr.tea]

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

 

[slider142]

Category Theory in Context by Emily Riehl

 

[ilikemaffs]

Euler's Elements of Algebra

Nobody covers the basics better than the legend. Surprised this was not already on the list!

 

[coffeejunky]

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.

 

[JOZRA]

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!

 

[LevLandau]

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.

 

[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