\color{cyan}{\textnormal{Math}} is a subject of knowledge focused on quantities of values, items, things, etc. It is also focused on the operations that can be done on or to these quantities.
Math, therefore, is fundamentally based upon numbers, which, simply speaking, is a way of representing a quantity.
The following is a table of different mathematical subjects, areas, etc. that encompass different aspects of mathematics. More detail will be provided when these subjects are actually introduced in their respective unit, but this table is meant to provide an overview on the different fields of math.
| Field | Description |
|---|---|
| Arithmetic | Simply performinig arithmetic on numbers and variables. |
| Algebra | Modelling relationships between variables using arithmetic and/or graphing. |
| Geometry | Studying physical (or physical models) of shapes, solids, surfaces, curves, etc. |
| Trigonometry | Subset of Geometry focusing on angles and distances. |
| Topology | Subset of Geometry focused on the characteristics of surfaces and space. |
| Statistics | Subject focused on understanding the characteristics of data. |
| Calculus | Mathematics focused on rates of changes, continuous changes, area under the curve, etc. |
| Theoretical Math | A blanket branch I am using to encompass Set Theory, Number Theory, Logic, etc. |
There are of course, many, MANY more fields than this, but I’m using these branches to encompass a large portion of math. There are other fields, such as Combinatorics, Discrete Math, Linear Algebra, Cryptography, Optimization, and Differential Equations which, while their prescence in this book isn’t guaranteed, are all important aspects of math and account for important parts of maths.
This section summarizes the history of math as a timeline of different crucial events.
Math itself is a long-standing historically-rich subject that has spanned across millennia of human existence. It’s basically been around for as long as society has.
TODO
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|---|---|
| ← Prologue Introduction | 0.1.2: Numbers → |