Mathematics is a science field of study.
Mathematics main branches
Mathematics main branches:
- Pure
- Applied
Pure
- Algebra
- Geometry
- Analysis
- Number theory
- Topology
Algebra
You can read this post about algebra.
Mathematical analysis
Mathematical analysis is divided into:
- Calculus
- Real analysis
- Complex
- Functional
- Measure theory
Calculus
Calculus is a subfield of the mathematical analysis.
It is the entry point of analysis. Real analysis would be the real calculus.
It is divided into:
- Differential calculus
- Integral calculus
Taylor’s theorem
The Taylor’s theorem gives an approximation of a k-times differentiable function around a given point by a polynomial of degree k, called the k-th-order Taylor polynomial.
Reference:
- Taylor’s theorem. Wikipedia. Available at: https://en.wikipedia.org/wiki/Taylor%27s_theorem
Applied
- Mathematical optimization
- Probably theory
- Statistics
Mathematical optimization
References:
- Mathematical optimization [online]. Wikipedia. Available at: https://en.wikipedia.org/wiki/Mathematical_optimization
Probability theory
You can read this post about probability theory.
Statistics
You can read this post about statistics.
Learning Resources
- Math [online]. Khan Academy. Available at: https://www.khanacademy.org/math/