By Wolf Altman
Illustrating the real features of tensor calculus, and highlighting its such a lot functional beneficial properties, Physical parts of Tensors offers an authoritative and entire clarification of tensor calculus that's in line with modifications of bases of vector areas instead of on modifications of coordinates. Written with graduate scholars, professors, and researchers within the components of elasticity and shell theories in brain, this article specializes in the actual and nonholonomic parts of tensors and applies them to the theories. It establishes a idea of actual and anholonomic elements of tensors and applies the idea of dimensional research to tensors and (anholonomic) connections. This idea indicates the connection and compatibility between numerous present definitions of actual elements of tensors while pointed out nonorthogonal coordinates. The ebook assumes a easy wisdom of linear algebra and ordinary calculus, yet revisits those matters and introduces the mathematical backgrounds for the idea within the first 3 chapters. additionally, all box equations also are given in actual elements as well.
Comprised of 5 chapters, this noteworthy textual content:
- Deals with the elemental strategies of linear algebra, introducing the vector areas and the extra buildings imposed on them through the notions of internal items, norms, and metrics
- Focuses at the major algebraic operations for vectors and tensors and in addition at the notions of duality, tensor items, and part illustration of tensors
- Presents the classical tensor calculus that services because the complicated prerequisite for the improvement of next chapters
- Provides the speculation of actual and anholonomic parts of tensors through associating them to the areas of linear alterations and of tensor items and advances purposes of this theory
Physical parts of Tensors
Physical parts of Tensorscontains a accomplished account of tensor calculus, and is a vital reference for graduate scholars or engineers taken with reliable and structural mechanics.
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