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What is mathematics?

Mathematics is the study of quantity, structure, space, and change.

What is the difference between math, maths, and mathematics?

Math is a synonym of mathematics.
Maths is a primarily _______ term for math.

What are the subdivisions of mathematics?

Mathematics can be subdivided broadly into the study of quantity, structure, space, and change (i.e., arithmetic, algebra, geometry, and mathematical analysis).
1. Arithmetic
2. Algebra
3. Geometry
4. Mathematical analysis
5. Other
There are at least 1,000 mathematics topics, and each fits into one or more of these mathematical subdivisions.

Where is math useful?

1. Everyday life
2. Natural science
3. Engineering
4. Medicine
5. Social sciences
6. Applied mathematics
7. Computer Science
8. Cryptography
9. Economics and Mathematics
10. Other
Alphabetical listing of Math topics
    What are various alphabetical listing of Math topics?
Math for high school students
    What should high school students know about math?
Math for engineers
    What should an engineer know about math?
    What math equations are essential for an engineer?
Mathematical analysis
    What is mathematical analysis?

    Mathematical analysis looks at functions, sequences, and series. Mathematicians call mathematical analysis simply analysis.

    What are various subfields of mathematical analysis?
Math research
    How is math research useful to people and communities?

    Existing math details are been discarded due to inability to answer relevant questions.

    New math facts are been circulated to enhance research, education, products, and services in essential ingredients of the economy.
Doctorate in Mathematics

Would you like to do a doctorate in mathematics?
What should be the topic of your research?
Here are further guidelines.

What is Calculus?
Calculus is the mathematical study of change, in the same way that geometry is the study of shape and algebra is the study of operations and their application to solving equations. It has two major branches, differential calculus (concerning rates of change and slopes of curves), and integral calculus (concerning accumulation of quantities and the areas under and between curves); these two branches are related to each other by the fundamental theorem of calculus.
Here are further guidelines.