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Related lectures (50)

Subgroups and Cosets: Lagrange's Theorem Log in to Mediaspace to watch this video

Explores subgroups, normal subgroups, cosets, and Lagrange's theorem in group theory, emphasizing the importance of left cosets.

Sylow Subgroups: Group Theory Log in to Mediaspace to watch this video

Explores the concept of p-subgroups of Sylow in group theory, emphasizing the philosophy of studying mathematical objects 'one prime at a time'.

Understanding Equivalence Relations and Integer Construction Log in to Mediaspace to watch this video

Covers the construction of integers through equivalence relations and their properties in mathematics.

Geometry: Euclidean Elements & Vitruvius Log in to Mediaspace to watch this video

Explores Euclid's first proposition, ancient symmetria, and Vitruvius' architectural figures.

Groups: Definitions, Properties, and Homomorphisms Log in to Mediaspace to watch this video

Introduces the basic concepts of groups, including definitions, properties, and homomorphisms, with a focus on subgroup properties and normal subgroups.

Group Theory: Direct Sum of Abelian Groups Log in to Mediaspace to watch this video

Explores the arithmetic of direct sum of abelian groups and the process of turning a monoid into a commutative group.

Eshelby Method: Modulus Mismatch and Eigenstrains Log in to Mediaspace to watch this video

Discusses stress concentrations, modulus mismatch, and eigenstrains in materials.

Representation Theory: Algebras and Homomorphisms Log in to Mediaspace to watch this video

Covers the goals and motivations of representation theory, focusing on associative algebras and homomorphisms.

Compact Manifolds Classification Log in to Mediaspace to watch this video

Covers the classification of compact p-adic manifolds using the C.o.V-formula and explores smooth algebraic varieties and Hensel's lemma.

Algebraic Geometry: Forms and Maps Log in to Mediaspace to watch this video

Covers the concept of forms in algebraic geometry and the implications of constructing Bloch(A) from glued copies of A.

Free Abelian Groups: Group Theory Log in to Mediaspace to watch this video

Explores the concept of free abelian groups as an important left adjoint functor.

Integration by Substitution Log in to Mediaspace to watch this video

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

Coxeter Groups: Generators and Relations Log in to Mediaspace to watch this video

Explores Coxeter groups, emphasizing generators, relations, and unique presentations in group theory.

Finite Element Modeling: Dynamics Log in to Mediaspace to watch this video

Introduces the basics of finite element modeling for dynamics and discusses the Newmark method for time integration.

Optimization Techniques: Local and Global Extrema Log in to Mediaspace to watch this video

Discusses optimization techniques, focusing on local and global extrema in functions.

Untitled Log in to Mediaspace to watch this video

Multiple Integrals: Techniques and Properties Log in to Mediaspace to watch this video

Explores multiple integrals, techniques, properties, and center of gravity calculation in various domains.

Differentiable Functions and Lagrange Multipliers Log in to Mediaspace to watch this video

Covers differentiable functions, extreme points, and the Lagrange multiplier method for optimization.

Introduction to Analysis Log in to Mediaspace to watch this video

Covers the basics of analysis, including proofs, sets, rational and real numbers, and the concept of infimum.

Green's Theorem in 2D: Applications Log in to Mediaspace to watch this video

Explores the applications of Green's Theorem in 2D, emphasizing the importance of regular domains for successful integration.

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