Elliptic integral

Formal sciences
Mathematics
Analysis
Complex analysis

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Calculus of Variation and Euler's Elastica

Covers variational methods, equilibrium shape of a bent beam, Euler's Elastica, and numerical and analytical methods.

Magnetostatics: Magnetic Field and Force

Covers magnetic fields, Ampère's law, and magnetic dipoles with examples and illustrations.

Functional Equation of Zeta and Hadamard Products

Covers the functional equation of the Zeta function and the Hadamard factorization theorem.

Geometric Examples: Triangles and Functions

Explores geometric examples of triangles and functions, demonstrating the variation of x and y within defined ranges.

Weak Formulations & Solutions: Elliptic Problems

Explores weak formulations and solutions for elliptic problems using Galerkin methods.

Principal Value of an Integral: Examples

Covers examples of principal value of an integral with sin functions and singularities.

Linear PDEs of Order 2

Covers linear PDEs of order 2, focusing on elliptic second-order PDEs and boundary conditions.

Conduction Heat Transfer: Formulations and Theorems

Explores the strong and integral formulations of conduction heat transfer in 2D media, along with weak formulations and boundary conditions.

Integrals of Functions

Covers integrals as the reciprocal function of the derivative and explains displacement integral of velocity and variation of speed and acceleration in rectilinear motion.

Angle Calculation on Regular Surfaces

Covers the calculation of angles between curves on regular surfaces and the concept of curvilinear abscissa.