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Mathematics: Major Topics and Subdisciplines

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Mathematics: Major Topics and Subdisciplines

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Questions and Answers

Which area of knowledge includes topics of numbers, formulas, and related structures?

Algebra

Geometry

Analysis

Number theory (correct)

What does most mathematical activity involve?

Stipulated entities with certain properties

Scientific experimentation

Modeling phenomena

Proofs using pure reason (correct)

What are the fundamental truths of mathematics independent from?

Medicine

Engineering

Scientific experimentation (correct)

Social sciences

Which area of mathematics is developed in close correlation with its applications?

Statistics Signup and view all the answers

What do mathematicians use to prove properties of abstract objects?

Previously proved theorems Signup and view all the answers

What is the source of the word 'electricity'?

ἤλεκτρον (ḗlektron) Signup and view all the answers

What is the branch of physics that studies slow-moving or stationary electric charges?

Electrostatics Signup and view all the answers

What is described by Coulomb's law?

Forces that electric charges exert on each other Signup and view all the answers

What is the magnitude of the electrostatic force of attraction or repulsion between two point charges directly proportional to, according to Coulomb's law?

The product of the magnitudes of charges Signup and view all the answers

At what scale do Coulomb forces between electrons and positively charged nuclei play a very large role?

Nanoscale Signup and view all the answers