Advanced math examples may include topics such as calculus, linear algebra, differential equations, geometry, number theory, and abstract algebra. These topics are typically studied at the university level and require a high level of mathematical proficiency. In calculus, advanced topics may include multiple integrals and vector calculus. In linear algebra, advanced topics may include eigenvectors and eigenvalues. In differential equations, advanced topics may include partial differential equations and numerical methods for solving them. In geometry, advanced topics may include non-Euclidean geometries. In number theory, advanced topics may include topics related to prime numbers such as the Riemann Hypothesis. In abstract algebra, advanced topics may include Galois theory and group theory. These topics require a strong foundation in basic mathematical concepts and an ability to think abstractly.
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