Mathematical Domains

This document is part of eXtensible Binary Universal Protocol project documentation. It contains…

From the mathematical point of view data block should be understood as a sequence of bit values with the well-ordering. There is need for storing various other mathematical structures such as sets, arrays, mathematical graphs and more. This chapter attempts to outline which parts mathematic science should undertake the appropriate attention.

There are various classifications for mathematical domains. The following partitioning is for outline only.

• Arithmetic
• Algebra
• Mathematical analysis
  • Measure theory
  • Differential equations
  • Integral equations
• Numerical mathematics (including computational)
• Mathematical statistics
• Geometry
• Mathematical logic
• Number theory
• Set theory
• Probability theory