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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Vector & tensor analysis
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Theory of Holors - A Generalization of Tensors (Hardcover, New)
Loot Price: R4,141
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Theory of Holors - A Generalization of Tensors (Hardcover, New)
Expected to ship within 12 - 19 working days
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The word holor is a term coined by the authors to describe a
mathematical entity that is made up of one or more independent
quantities, and includes complex numbers, scalars, vectors,
matrices, tensors, quaternions, and other hypernumbers. Holors,
thus defined, have been known for centuries but each has been
developed more or less independently, accompanied by separate
nomenclature and theory. This book demonstrates how these
complicated subjects can be made simple by using a single notation
that applies to all holors, both tensor and nontensor. The authors
consider all possible types of holors and develop holor algebra and
holor calculus in the most general sense. Thus the reader will
learn to develop a new holor that fits the application, rather than
forcing an application onto a holor representation that is known
but that does not perfectly describe the application. The
discussion includes nontensors having no transformation and holors
that transform in more complicated ways than allowed with ordinary
tensors. This opens up the possibility to devise a holor for a new
physical application, without being limited to a few conventional
types of holor. This book should establish a method by which
students and teachers can learn vector and tensor analysis via a
uniform treatment. Graduate students and professionals in
engineering, physics. applied mathematics, chemistry, biology,
psychology, and other analytical sciences should find this to be a
useful and innovative work.
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