Character and Modulus in Mathematics

Related lectures (31)

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Explores integration by substitution with proofs and examples on anti-derivatives and function equivalence.

Covers the statement of the Bernoulli's Hospital Rule and its application.

Covers the Bombieri-Vinogradov theorem and its implications for prime gaps and multiplicative sieve inequalities.

Covers the Implicit Functions Theorem, providing a general understanding of implicit functions.

Explores maximum likelihood estimation and multivariate hypothesis testing, including challenges and strategies for testing multiple hypotheses.

Explores the Cauchy problem, emphasizing solution finding and verification processes.

Demonstrates the practical application of theorems in calculus through two clever examples.

Explores solving nonlinear systems of equations using Newton's method.

Covers the Implicit Functions Theorem, explaining how equations can define functions implicitly.

Explains the volume calculation by intersecting two cylinders using coordinates and integrals.