Lectures related to Existence | EPFL Graph Search

Martin Heidegger, Walter Benjamin

Explores Heidegger's philosophy, Benjamin's art analysis, and the essence of human existence in relation to architecture.

Functors and Natural Transformations

Delves into functors, natural transformations, and group actions with explicit examples.

Construction of Solutions by Dirichlet-Laplace

Explores the construction of solutions by Dirichlet-Laplace in general domains.

Limits and Examples

Explores the concept of limits and provides examples of their existence and non-existence in various functions.

Composition of Applications in Mathematics

Explores the composition of applications in mathematics and the importance of understanding their properties.

Fundamental Solutions

Explores fundamental solutions in partial differential equations, highlighting their significance in mathematical applications.

Differential Equations: Solutions and Uniqueness

Explores differentiability, continuity, solutions, and uniqueness in differential equations, emphasizing well-posed problems and real-world applications.

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Partial Differential Equations: First Order

Introduces quasi-linear first-order PDEs, characteristic curves, and surfaces, emphasizing solution verification and uniqueness.

Ideals and PPCM

Covers the concept of ideals in polynomial rings and their properties.

Enclidian Functions: Definition and Properties

Covers the definition and properties of enclidian functions, including uniqueness and applications in mathematical structures.

Active Learning: Products and Categories

Discusses the properties of products in categories and their relationship with small and arbitrary categories.

Elementary Algebra: Numeric Sets

Explores elementary algebra concepts related to numeric sets and prime numbers, including unique factorization and properties.

En Campagne: Architectural Projects and Philosophical Reflections

Explores architectural projects and philosophical reflections on existence, space, and urban planning.

Implicit Functions Theorem

Explores the implicit functions theorem and the equation of the tangent plane in a graph.

Limits: Understanding the Concept

Covers the concept of limits and how to determine their existence.

Harmonic Forms: Main Theorem

Explores harmonic forms on Riemann surfaces and the uniqueness of solutions to harmonic equations.

Partial Differential Equations: Solutions and Applications

Explores solutions to partial differential equations and their applications in various scenarios.

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Homogeneous Equations: Advanced Analysis II

Explores second-order linear scalar homogeneous equations in advanced analysis II.