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Questions and Answers
What are the major subdisciplines of modern mathematics?
What are the major subdisciplines of modern mathematics?
- Arithmetic, calculus, algebra, and topology
- Calculus, trigonometry, statistics, and probability
- Number theory, algebra, geometry, and analysis (correct)
- Differential equations, linear algebra, combinatorics, and graph theory
What does most mathematical activity involve?
What does most mathematical activity involve?
- The discovery of properties of abstract objects and the use of pure reason to prove them (correct)
- Building physical structures and solving real-world problems
- Conducting experiments and making observations to form hypotheses
- Analyzing data and making predictions based on patterns
In modern mathematics, what consists of a proof?
In modern mathematics, what consists of a proof?
- Construction of physical models and demonstrations
- A succession of applications of deductive rules to already established results (correct)
- Repetition of experimental trials and observations
- Compilation of statistical data and analysis
Which fields extensively use mathematics for modeling phenomena?
Which fields extensively use mathematics for modeling phenomena?
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Which areas of mathematics are often grouped under applied mathematics?
Which areas of mathematics are often grouped under applied mathematics?
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