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Advanced Engineering Mathematics

Comprehensive exploration of advanced mathematical concepts, including complex analysis, transforms, probability, linear algebra, and more, with applications to engineering problems.
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Kimberly Brehm
Linear Algebra

Comprehensive exploration of linear algebra concepts, from basic systems to advanced topics like eigenvectors and orthogonal decomposition, with practical applications and problem-solving techniques.
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Vertex Operator Algebras

Explore the foundations and applications of vertex algebras, from basic concepts to advanced topics like Heisenberg algebra and permutation orbifolds.
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Linear Algebra

Comprehensive exploration of linear algebra concepts, from matrices and vector spaces to eigenvalues and transformations, with practical applications and in-depth explanations.
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Vector Spaces

Explore vector spaces through 25 examples, covering subspaces, unions, spans, and theorems. Delve into dimensions, including infinite ones, and learn about Lagrange Interpolation and Zorn's Lemma.
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Vector Spaces

Explora espacios vectoriales, subespacios, independencia lineal, coordenadas, bases y dimensiones, y más en este detallado estudio de álgebra lineal.
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Explore algebraic topology applications in programming, covering pursuit-evasion problems, positive cones, Alexander duality, and directed topology, with insights into decomposability and computational aspects.
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ICTP Mathematics
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Explore fundamental concepts and principles of differential geometry in this comprehensive lecture by mathematician Claudio Arezzo.
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Comprehensive explanation of subspace test in vector spaces, including definition, examples, and applications. Includes worked problems and links to additional resources for practice.
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Explore linear transformations with Oxford mathematician Dr Tom Crawford, covering definitions, properties, and examples in R3, including matrix multiplication and differentiation.
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Oxford Linear Algebra - Basis, Spanning and Linear Independence

Explore key concepts in linear algebra: basis, spanning, and linear independence. Learn through intuitive examples and formal definitions, with worked problems in vector spaces and Cartesian planes.
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Khan Academy
Visualizing a Column Space as a Plane in R3 - Vectors and Spaces - Linear Algebra

Explore how to visualize column space as a plane in R3, determining planar equations and understanding multi-dimensional concepts in linear algebra.
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Null Space and Column Space Basis - Vectors and Spaces - Linear Algebra - Khan Academy

Learn to determine null space and column space basis for matrices, essential concepts in linear algebra for understanding vector spaces and transformations.
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Defining the Angle Between Vectors - Vectors and Spaces - Linear Algebra - Khan Academy

Learn to define and understand the concept of angles between vectors in linear algebra, enhancing your grasp of vector geometry and spatial relationships.
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Explore linear subspaces in Rn, a fundamental concept in linear algebra. Learn to visualize and understand multi-dimensional mathematical reasoning through vectors, matrices, and transformations.
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