Vector and tensor analysis - Louis Brand - Google книгиThe Basic Library List Committee suggests that undergraduate mathematics libraries consider this book for acquisition. This is a concise but thorough text in vectors and tensors from the physics not linear algebra point of view. The text is unusual in that tensors take central place. It starts out with vectors, but at least half the material in the rest of the book is stated for general tensors. It is one of a series of texts that Richard A. Silverman prepared in the s and s by translating and freely adapting Russian-language texts.
Tensor Calculus For Physics Majors #1- Preliminary Vector Stuff part 1
In mathematics , tensor calculus, tensor analysis, or Ricci calculus is an extension of vector calculus to tensor fields tensors that may vary over a manifold , e. Developed by Gregorio Ricci-Curbastro and his student Tullio Levi-Civita ,  it was used by Albert Einstein to develop his theory of general relativity. Contrasted with the infinitesimal calculus , tensor calculus allows presentation of physics equations in a form that is independent of the choice of coordinates on the manifold.
Vector and Tensor Analysis
Total Differential. Derivatives of Sums and Products. Vector Algebra 2. Electric Point Charges?
Doublets and Double Layers. Permutation Tensor. Orthogonal Coordinates. Total Curvature.
Vector and tensor analysis.
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Surface Charges. Toggle navigation Additional Book Information. Total Curvature. Mathematische Annalen in French.
Views Read Edit View history. The Tensor Concept 3. Alternative Form of Transformation. Kinematics of a Particle.
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Description Table of Contents Author s Bio. Tensor Analysis. Collinear Points. Please re-enter recipient e-mail address es. Addition of Vectors.
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I think the reason they come so late is that they make heavy use of vector calculus, and that is the last thing developed. Preview this item Preview this item. Add a review and share your thoughts with other readers. Plane Motion.
Cancel Forgot your password. Field of Curves. Please enter recipient e-mail address es. Functional Dependence.Alternative Form of Transformation. Vector Triple Product. Eulerian Equation for a Fluid in Motion. In geometry the geometric situation is described bpok numbers, but you can change your numbers arbitrarily.
Barycentric Coordinates. Differential Invariants. Glossary of tensor theory. Working with a main proponent of the exterior calculus Elie Cartan, the influential geometer Shiing-Shen Chern summarizes the role of tensor calculus: .