Road to understanding mathematics

This is my journey to learn and understand mathematics from the basics to the advanced level. Learning mathematics for fun.

Aims to complete

1. Learn 10th class mathematics. -- Almost done This includes basic algebra, trigonometry, geometry, statistics and probability.

2. Learn 11th-12th class mathematics -- Working This includes better and deep learning of pre-calculus and calculus. Along with other important topics.

3. Undergraduate mathematics -- casually reading Napkin by Evan Chen
   After undergraduate mathematics, the learning of advanced topics will be the emphasis.

Method of learning

• Solving problems and reading examples will be most important.

• Cannot move to the next step unless the understanding of the basics seems weak. Unlike a classroom method of studying for a year and moving to next year's syllabus.
  Self-paced learning of this type should emphasize understanding each example and topic properly and then moving on.

• After completion of each level of mathematics/bid topic, give myself a final self-exam, including all methods and examples in detail in each answer(godspeed, I am making things harder for me). *Self-checking along with taking help to check my exam if possible.

Notes will be written using LaTex, there will be programming questions from Project Euler (To help in learning programming) solved so I learn how to make cool graphs and show proofs using programming.

Topics studied till now

1. Linear algebra: Basics, including matricies, determinants, matrix algebra,etc
2. Calculus(Basics)
3. Sequence and series:Fundamental concepts, convergence tests, alternating series, series of a function and Taylor expansion.
4. Statistics: fundamental concepts, Hypothesis testing and error analysis, including all important statistical tests for parametric and non parametric tests.
5. Mathematics behind ML: on going; currently taking a workshop on Linear Regression, Multiple Linear Regression, Non-Linear Regression, Logistic Regression, Classification, clustering, and Principal component analysis.

Online resources related to maths(and a little extra)

1. https://proofindex.com/resources-for-undergrads
2. https://tutorial.math.lamar.edu/
3. https://web.evanchen.cc/napkin.html - Evan Chan : Napkin
4. Professor Leonard Youtube.
5. Introduction to Mathematical Thinking - Coursera
6. Introduction to Calculus - Coursera
7. Khan Academy
8. https://projecteuler.chat/index.php
9. https://www.feynmanlectures.caltech.edu/
10. https://github.com/ossu/math
11. https://aimath.org/textbooks/
12. Discord Server: micromath
13. https://www.mathsisfun.com/

Books used

1. NCERT 10th class.
2. R.D. Sharma Mathematics for class 11th and 12th.
3. Mathematics for Machine Learning - Marc Peter D.
4. Lang, Serge - Basic mathematics-Addison-Wesly Publishing Company (1971)
5. Shay Fuchs - Introduction to Proofs and Proof Strategies