293 Free Mathematics Ebooks, Learning Platforms, Tools and Resources

Archimedes is known as the Father of Mathematics. It is one of the ancient sciences developed in time immemorial. Algebra, geometry, calculus and statistics & probability are considered to be the 4 main branches of mathematics. It is also broadly divided into pure mathematics and applied mathematics. Applied mathematics can be applied to real world problems.

Which is the toughest branch of mathematics? Geometry and trigonometry are both basic. Algebra can get very difficult at the university level, especially in graduate programs when you start to generalize concepts to abstract algebra and then explore commutative algebra. Alternatively, math gives us a way to understand patterns, to quantify relationships, and to predict the future. Math helps us understand the world and we use the world to understand math. The world is interconnected.

This post will further your knowledge in areas that all mathematicians will be interested in. Find out what resources you can read to learn more, and find a selection of useful links including a variety of ebooks, learning platforms, videos, tools and lecture notes on a wide array of topics, such as doing math foundation, set theory, logic, type theory, algebra and many many more.

Books

1. Calculus: Basic Concepts for High Schools 4
   L.V. Tarasov
2. Basics of Algebra, Topology, and Differential Calculus 1
   Jean Gallier (University of Pennsylvania)
3. Multivariable Calculus
   G. Cain, J. Herod (Georgia Tech)
4. Wikibooks
5. Online Mathematics Textbooks 2
6. Beginning and Intermediate Algebra 1

General Resources

Learning Platforms

1. Khan Academy 1
2. Coursera
3. MIT OpenCourseWare
4. edX
5. Brilliant
6. WooTube
7. Mathigon
8. Calculus.org
9. Ximera 1
   Free interactive mathematics textbooks (Ohio State University)

Questions and Answers

1. Mathematics Stack Exchange 1
2. MathOverflow 1
   For professional mathematicians

Encyclopedia

1. Encyclopedia of Mathematics 2
2. Planetmath
3. ProofWiki
4. Wolfram Mathworld

Youtube Series

1. Brandon Foltz
2. 3blue1brown
3. NPTEL
4. Prof. Leonard
5. Crash Course 2
6. Harvard
7. MIT

Tools

1. Symbolab 1
2. Desmos
3. Math Words
4. Wolfram Alpha
5. Maxima
6. Sympy
7. Sagemath
8. GeoGebra
9. Macaulay2 1
10. Singular
11. GNU Octave
12. Magma
13. Maple
14. Matlab
15. Wolfram Mathematica
16. Free Math

Blogs

1. BetterExplained 1
   Maintained by Kalid Azad
2. ILoveMaths
   For grades 6 thru 12 in K-12 system
3. 3blue1brown 2
   Animated Maths
4. Mathsisfun
   Simple text light weight site for students upto highschool
5. MathematicsIsAScience
   Peter Saveliev (Professor of mathematics at Marshall University, Huntington WV, USA)