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/