user: Can you please provide me a `Formal Science Overview.md` file?
It should contain a  
|Topic|Description| 
|---|---|
|[topic1](relative-link-to-topic-overview.md)|Description of topic1|

table at the start and then after the Table it should have every Topic a s a  ## header with a more thorough description.
Use this tree as a foundation:

Formal Science/
|-- Computer Science
|--|-- Tools
|-- Formal Science Overview.md
|-- Mathematics
|--|-- Applied mathematics
|--|-- Pure Mathematics

assistant: what is that?

user: It is a list of formal sciences, organized into a .md document which contains a table and lists the appropriate sciences as well as describing their domain, modus operandi, topics of interest, equipment used, and other such paraphernalia when appropriate.

assistant: Thank you for the clarification. Here is an updated version of the Formal Science Overview.md file with the table and descriptions for each topic:

## Formal Science Overview
This document provides an overview of various formal sciences and their domains, modus operandi, topics of interest, equipment used, and other relevant information.

| Topic               | Description                                              |
|---------------------|----------------------------------------------------------|
| Computer Science    | The study of computers, computation, and algorithms      |
| Mathematics         | The study of numbers, quantity, and space                |
| Applied mathematics | The application of mathematical methods to other fields  |
| Pure Mathematics    | The study of mathematics for its own sake, without context|

### Computer Science
Computer science is the study of algorithms, data structures, programming languages, and software development. It is a rapidly evolving field that has become increasingly important in modern society. The domain of computer science includes both theoretical and practical aspects of computing. The modus operandi of computer science involves developing and testing algorithms and software systems, analyzing computational complexity, and designing new programming languages and software tools.

Topics of interest in computer science include artificial intelligence, computer graphics, computer networks, cryptography, databases, distributed systems, human-computer interaction, programming languages, and software engineering. Equipment used in computer science includes computers, servers, software development tools, and networking equipment.

### Mathematics
Mathematics is the study of numbers, quantities, and shapes, as well as their relationships and properties. It is a foundational science that has applications in many other fields, including physics, engineering, and economics. The domain of mathematics includes both pure and applied aspects of the subject.

Pure mathematics is concerned with abstract concepts and logical reasoning, while applied mathematics involves using mathematical models and techniques to solve real-world problems. Topics of interest in mathematics include algebra, analysis, geometry, topology, probability theory, and statistics.

Equipment used in mathematics includes writing implements, paper, and computing devices for performing calculations and simulations. Mathematicians also rely heavily on mathematical notation and symbols for communicating their ideas and findings.