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Length: 51 Minutes Presenter: Dr. Robert Lopez Product: Maple
In the final webinar of this series, we’ll explain the covariant derivative. We’ll finish a presentation on surface curvature in which we'll make the connection between the Riemann curvature tensor and the curvature of a surface where the terms "principal curvatures" and "total (or Gauss...
Length: 54 Minutes Presenter: Dr. Robert Lopez Product: Maple
In the fourth webinar of this series, we’re discussing tensor calculus itself. Since the essence of differential calculus is a study of how infinitesimal changes affect scalar functions, extending this study to vectors and tensors leads to the Christoffel symbols (connection coefficients) that...
Length: 50 Minutes Presenter: Dr. Robert Lopez Product: Maple
In a series of five webinars, Dr. Robert Lopez will present the essential ideas of the tensor calculus. The central concepts are contained in three sections: Preliminaries from Multivariate Calculus, Tensor Algebra, and Tensor Calculus. In the third webinar of this series, we investigate the ques...
Length: 42 Minutes Presenter: Dr. Robert Lopez Product: Maple
In the second installment of the Essentials of Tensor Calculus series, Dr. Robert Lopez will explain reciprocal vectors and show that bases of tangents and gradients are reciprocal. This is important because these distinctions underpin the difference between contravariance and covariance. The transi...
Length: 43 Minutes Presenter: Dr. Robert Lopez Product: Maple
In a series of five webinars, Dr. Robert Lopez will present the essential ideas of the tensor calculus. The central concepts are contained in three sections: Preliminaries from Multivariate Calculus, Tensor Algebra, and Tensor Calculus. In this first webinar of the series, Dr. Lopez will begin a ...
