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Newton's Laws: Fundamentals
Explores Newton's laws of motion, fundamental forces in nature, and the unification of interactions.
Complex Numbers: Representation and Properties
Covers the representation of complex numbers and their properties, including Euler's and Moivre's formulas.
Complex Roots: Conjugate Pairs and Quadratic Equations
Explores complex roots, conjugate pairs, and quadratic equations solving strategies.
Complex Integration: Fourier Transform Techniques
Discusses complex integration techniques for calculating Fourier transforms and introduces the Laplace transform's applications.
Coordinate Systems: Applications and Transformations
Explores coordinate systems, including polar and curvilinear coordinates, and their transformations.
Examples: Complex Numbers
Covers examples related to complex numbers and their properties.
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Power Series Computations
Covers power series, generating functions, and operations like addition, multiplication, differentiation, and integration, with examples and the generalized binomial theorem.