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# Formal sciences - mathematics

Updated: Feb 11 According to Wikipedia, "Mathematics is an area of knowledge that includes such topics as numbers (arithmetic and number theory), formulas and related structures (algebra), shapes and the spaces in which they are contained (geometry), and quantities and their changes (calculus and analysis). Most mathematical activity involves the use of pure reason to discover or prove the properties of abstract objects, which consist of either abstractions from nature or—in modern mathematics—entities that are stipulated with certain properties, called axioms."

Mathematics is abstract but very useful. Mathematics is the foundation of all sciences and technologies.

How to best learn mathematics?

Learning mathematics can be challenging, but also incredibly rewarding. Here are some tips for how to best learn mathematics:

1. Practice, practice, practice: The best way to improve your understanding of mathematics is to practice solving problems. Work through practice problems and homework assignments, and try to apply the concepts you learn to new and challenging problems.

2. Study regularly: Don't wait until the night before an exam to start studying. Instead, make a habit of reviewing the material regularly and asking questions when you're unsure of something.

3. Get help when you need it: If you're struggling with a concept, don't be afraid to ask for help. This could mean reaching out to a teacher, tutor, or classmate, or seeking additional resources such as textbooks, videos, or online tutorials.

4. Visualize concepts: Mathematics is often visual in nature, so try to create mental images or diagrams to help you understand complex concepts. This can also help you see patterns and relationships that may not be immediately apparent.

5. Play with the concepts: Mathematics is often more fun and engaging when you approach it like a game or puzzle. Try to see the beauty and elegance in mathematical concepts, and try to look for connections and patterns that are not immediately obvious.

6. Use technology: There are many software and online tools that can help you learn and practice mathematics. Take advantage of these resources, but be careful not to rely on them too heavily, as they are not always reliable and can sometimes give you a false sense of understanding.

7. Build a strong foundation: Mathematics builds on itself, so it's important to have a solid foundation in the basics before moving on to more advanced concepts. Make sure you fully understand each concept before moving on to the next one.

Remember, learning mathematics takes time and effort, but with persistence and a positive attitude, you can master this fascinating and powerful subject.

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What can I do if I learn mathematics?

If you learn mathematics, there are many careers and fields that you can explore. Here are a few possibilities:

1. Mathematics teacher: If you enjoy teaching and helping others understand mathematical concepts, you could consider becoming a mathematics teacher.

2. Mathematician: Mathematicians use mathematics to solve real-world problems and advance our understanding of the world. They may work in academia, industry, or government.

3. Actuary: Actuaries use mathematics and statistics to assess financial risk and uncertainty. They work in the insurance and finance industries.

4. Data analyst: With the increasing importance of data in our world, there is a growing demand for individuals with skills in data analysis. Mathematics is an essential tool for analyzing and interpreting data.

5. Software engineer: Many software engineers use mathematics in their work, particularly in areas such as computer graphics, cryptography, and machine learning.

6. Financial analyst: Financial analysts use mathematical models to evaluate investments and make financial predictions.

7. Operations research analyst: Operations research analysts use mathematical and analytical methods to help organizations solve complex problems and make better decisions.

These are just a few of the many career paths you can pursue with a background in mathematics. The skills you develop in mathematics, such as problem-solving, critical thinking, and logical reasoning, are highly valued in many fields.

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Wikiversity is a Wikimedia Foundation project devoted to learning resources, learning projects, and research for use in all levels, types, and styles of education from pre-school to university, including professional training and informal learning.

There are lots of self-learning contents about mathematics, which you can study by yourself before going into a formal education.

Category:Mathematics - Wikiversity (this category is not finished yet)

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Math contest preparation - Wikiversity

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