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#Transcendental Functions

Showing: 8 courses

Transcendental Functions

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Explore transcendental functions, including logarithms and exponentials, through proofs, examples, and problem-solving. Learn derivatives, integrals, and properties of these essential mathematical concepts.
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33 Lesons
2 hours 30 minutes
On-Demand
Free-Video
Insights into Mathematics

Curvature, Turning Numbers and Winding Numbers - Differential Geometry

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Explore curvature, turning numbers, and winding numbers in planar curves. Learn about irrational numbers and transcendental functions from an applied perspective using rational turn angles.
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10 Lesons
48 minutes
On-Demand
Free-Video
Insights into Mathematics

Cracking the Riemann Hypothesis - A Computational Approach

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Explore a computational approach to the Riemann Hypothesis, challenging traditional mathematical assumptions and proposing a new perspective on this famous conjecture.
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1 Lesons
28 minutes
On-Demand
Free-Video
IMSA

Hodge Theory for Poisson Varieties and Nonperturbative Quantization

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Explore Hodge theory for Poisson varieties and nonperturbative quantization, focusing on K-theory and mixed Hodge structures to simplify complex calculations in deformation quantization.
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1 Lesons
1 hour 3 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Differential Galois Theory and the Algebraicity of Solutions - Part 3

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Delve into advanced concepts of Differential Galois Theory, exploring algebraicity of solutions and their applications in singular differential equations with mathematician Michael Singer.
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1 Lesons
1 hour 30 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

G-Functions of Differential Order 2

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Delve into advanced mathematical concepts exploring G-functions of differential order 2, focusing on algebraicity and transcendence properties in singular differential equations.
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1 Lesons
1 hour 13 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

First Order Differential Equations in Characteristic Zero and Characteristic p

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Explore advanced mathematical concepts of first-order differential equations across characteristic zero and characteristic p, with insights from leading mathematician Marius van der Put.
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1 Lesons
1 hour 12 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Extending Hölder's Result on the Differential Transcendence of the Gamma Function

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Delve into advanced mathematical concepts exploring Hölder's theorem and its extension to the differential transcendence properties of the Gamma function through rigorous analysis.
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1 Lesons
51 minutes
On-Demand
Free-Video