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Conjugate element (field theory)
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Related lectures (12)
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Homogeneous Linear Second-Order Differential Equations
Covers the solution of homogeneous linear second-order differential equations with constant coefficients and explores various cases of real and complex roots.
Complex Numbers: Equations and Constructibility
Explores polynomial equations in complex numbers, constructibility conditions, roots of unity, and Fermat primes.
Logarithmic Embedding in Number Fields
Explores the properties and applications of logarithmic embeddings in number fields.
Hermite-Minkowski Theorems: Number Fields and Ideal Classes
Explores Hermite-Minkowski theorems in number fields and ideal classes.
Real Vector Spaces: Structure and Endomorphisms
Covers the structure of real vector spaces and endomorphisms.
Examples: Complex Numbers
Covers examples related to complex numbers and their properties.
The Class Number Formula: Counting and Lipschitz Principle
Covers the Class Number Formula and a counting problem related to the lattice and Lipschitz principle.
Completion of a Field: Algebraic Closure
Covers the completion of a field, focusing on algebraic closure and function convergence.
Representation of Gauss
Covers the representation of complex numbers and their applications in mathematical transformations.
Complex Analysis: Holomorphic Functions
Explores holomorphic functions, Cauchy-Riemann conditions, and principal argument values in complex analysis.
Magnetic Fields and Complex Numbers
Explores magnetic fields from moving charges and the properties of complex numbers.
Complex Numbers: Representation and Properties
Covers the representation of complex numbers and their properties, including Euler's and Moivre's formulas.
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