Geometry and Complex Numbers in R²

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Related lectures (27)

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Vector Spaces in R2 and R3

Covers vector spaces in R2 and R3, including planes and lines.

Hilbert Spaces: Orthonormal Systems

Explores Hilbert spaces, orthonormal systems, and the Bessel inequality, emphasizing their properties and significance.

Orthogonality and Least Squares Method

Covers orthogonal vectors, unit vectors, and the Pythagorean theorem in R^m.

Euclidean Spaces: Properties and Concepts

Covers the properties of Euclidean spaces, focusing on R^n and its applications in analysis.

Vectors: Definitions and Operations

Introduces vector definitions, displacement, addition, and applications in geometry.

Complex Numbers: Applications and Representations

Explores the origin, applications, and representations of complex numbers in crystallography and materials science, including their graphical, polar, and exponential forms.

Vector Operations and Geometry

Covers mathematical concepts related to vector operations and geometry, including scalar product and vector norms.

Gauss Representation

Explores the Gauss representation of complex numbers, focusing on addition, multiplication, bases, and vector space dimensions.

Geometry and Complex Numbers: Circles in the Complex Plane

Explores equations and properties of circles in the complex plane.

Linear Similarities and Similitudes

Explores linear similarities and similitudes, demonstrating their properties and applications in geometry.