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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis
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Physical Components of Tensors (Hardcover)
Loot Price: R5,018
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Physical Components of Tensors (Hardcover)
Series: Applied and Computational Mechanics
Expected to ship within 12 - 19 working days
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Illustrating the important aspects of tensor calculus, and
highlighting its most practical features, Physical Components of
Tensors presents an authoritative and complete explanation of
tensor calculus that is based on transformations of bases of vector
spaces rather than on transformations of coordinates. Written with
graduate students, professors, and researchers in the areas of
elasticity and shell theories in mind, this text focuses on the
physical and nonholonomic components of tensors and applies them to
the theories. It establishes a theory of physical and anholonomic
components of tensors and applies the theory of dimensional
analysis to tensors and (anholonomic) connections. This theory
shows the relationship and compatibility among several existing
definitions of physical components of tensors when referred to
nonorthogonal coordinates. The book assumes a basic knowledge of
linear algebra and elementary calculus, but revisits these subjects
and introduces the mathematical backgrounds for the theory in the
first three chapters. In addition, all field equations are also
given in physical components as well. Comprised of five chapters,
this noteworthy text: Deals with the basic concepts of linear
algebra, introducing the vector spaces and the further structures
imposed on them by the notions of inner products, norms, and
metrics Focuses on the main algebraic operations for vectors and
tensors and also on the notions of duality, tensor products, and
component representation of tensors Presents the classical tensor
calculus that functions as the advanced prerequisite for the
development of subsequent chapters Provides the theory of physical
and anholonomic components of tensors by associating them to the
spaces of linear transformations and of tensor products and
advances two applications of this theory Physical Components of
Tensors contains a comprehensive account of tensor calculus, and is
an essential reference for graduate students or engineers concerned
with solid and structural mechanics.
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