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Master Variational Calculus & Advanced Mathematical Methods
Partner: Udemy
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Description: OVERVIEWThis advanced course offers a rigorous exploration of the following pivotal mathematical disciplines: Calculus of Variations, Integral Transforms, Tensor Analysis, Complex Analysis (with a focus on Residue Theorems), intuition behind path integrals and Quantization of a classical theory, and a final part on constrained optimization problems. Designed for professionals, researchers, and students in mathematics, physics, engineering, and related fields, this course provides the theoretical foundations and practical techniques necessary to solve complex problems across a variety of disciplines.What You Will Learn:Calculus of Variations: Delve into the principles of optimizing functionals, essential for understanding the behavior of systems in physics, engineering, and economics. Master techniques such as Euler-Lagrange equations, boundary conditions, and their applications in mechanics.Integral Transforms: Gain proficiency in Laplace, Fourier, and other integral transforms, which are powerful tools for solving differential equations and analyzing signals. Learn how to apply these transforms to simplify and solve complex mathematical problems.Tensor Analysis: Explore the theory and applications of tensors, which are indispensable in the study of continuum mechanics, relativity, and advanced geometry. Understand the mathematical structure of tensors, their transformations, and their role in physics and engineering. The introduction to tensors follows the pedagogical steps usually encountered in a course on General RelativityComplex Analysis and Residue Theorems: Study the intricacies of complex functions and the residue theorem, a cornerstone in evaluating integrals and solving differential equations. Learn how to apply residue calculus to solve real-world problems in physics and engineering.Path Integrals: Study th
Category: Teaching & Academics > Math > Calculus
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Price: 199.99
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Source: Impact
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