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# ๐งฎ Mathematics

Tip

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"Thereโs no royal road to mathematics."

• ๐ Euclides, to the pharao Ptolemy I of Egypt ๐

๐ฆ The study of emergent properties, such as \$\color{#52BFDD}patterns\$ and \$\color{#43BFDD} relationships \$.

๐ญ We donโt decide if itโs true, we decide to ask the question.

๐ฉ Axioms are built, and the rest is discovered.

1. ## Fundamentals of Math

Here you will learn the basic tools of mathematics:

1. ## ๐Mathematical Language & Logic

๐ The foundation of mathematics. Strongly related to philosophy. It deals with the principles of reasoning and inference. In mathematics, logic helps us ensure the soundness of arguments, proofs, and mathematical reasoning, enabling mathematicians to establish the validity of statements and proofs.

๐ง  Logical thinking allows mathematicians to create and follow precise steps to arrive at valid conclusions.

In mathematics, the art of asking questions is more valuable than solving problems.

• Georg Cantor
2. ## ๐ซ Arithmetics

Arithmetics, from the greek \$\color{#42BFDD}Arithmos\$ (number), is the study of \$\color{#BBE6E4}numbers\$.

๐ It was, probably, the first field to appear in mathematics. It relates to numbers, their meaning, properties, and operations that can be applied to numbers: Addition, subtraction, multiplication, division...

๐ซ Some numbers, such as ฯ or โฏ, have caused a lot of obsessions. People have died over these numbers. why? Well, ฯ (pi) is irrational and transcendental, and โฏ (Euler's number) is the base of the natural logarithm and has many important properties in mathematics.

3. ## ๐ Geometry

Concerns with Space and relationships of objects in spaces.

๐งฉ Studies Shape, size, position, figures...

#### ๐ Trigonometry

• The specific field concerned with triangles.
4. ## โ๏ธ Algebra

The study of structure. How mathematical models are organised. From the Arabic \$\color{#4ECDC4}AlโJabr\$ ("reallocation")

๐ชฌ It uses symbols to represent values, that may be variable.

๐ It explores the rules of mathematics.

๐ฏ It also helps to discover the behaviour of equations.

6. ## ๐Calculus

Discovered by Gottfried Leibniz and Isaac Newton.

๐ข Concerned with change, rates, and accumulation.

โฐ๏ธ The two main concepts are differentiation (rates of change) and integration (accumulation).

7. ## ๐ฉ Topology

The study of spaces.

# โ๏ธ Applied Maths

โ๏ธ๐ญ๐งฌ๐ฌโ๏ธ๐ป Mathematics is the engine that runs the industrial civilization the language of science and technology the code of the information age

Math is everywhere

๐น Music is the pleasure the human soul experiences from counting without being aware that it is counting.

``````Phones (signal processing)
Airplanes
Face recognition