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Questions and Answers
What are the major subdisciplines of modern mathematics?
What are the major subdisciplines of modern mathematics?
- Number theory, algebra, geometry, and analysis (correct)
- Calculus, trigonometry, statistics, and logic
- Algebra, geometry, logic, and calculus
- Arithmetic, calculus, topology, and probability
How is mathematical activity described in the text?
How is mathematical activity described in the text?
- Primarily based on experimentation and observation
- Involves the discovery of properties of abstract objects and the use of pure reason to prove them (correct)
- Focused on modeling natural phenomena through scientific experiments
- Dependent on the applications in natural sciences
What are the fundamental truths of mathematics independent from?
What are the fundamental truths of mathematics independent from?
- Applied mathematics
- Natural phenomena
- Engineering and medicine
- Any scientific experimentation (correct)
Which areas extensively use mathematics for modeling phenomena?
Which areas extensively use mathematics for modeling phenomena?
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3
3
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What did Galois theory allow to be reduced to group theory?
What did Galois theory allow to be reduced to group theory?
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In Galois theory, what type of equations are solvable by radicals?
In Galois theory, what type of equations are solvable by radicals?
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What problem does the Abel–Ruffini theorem address?
What problem does the Abel–Ruffini theorem address?
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What classic problems have been solved using Galois theory?
What classic problems have been solved using Galois theory?
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Who published Galois' work fourteen years after his death?
Who published Galois' work fourteen years after his death?
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