Text for advanced undergraduate and graduate students covers the algebra, differentiation, and integration of vectors, and the algebra and analysis of tensors, with emphasis on transformation theory (view table of contents)

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.

Product Description: This book provides a systematic development of tensor methods in statistics, beginning with the study of multivariate moments and cumulants. The effect on moment arrays and on cumulant arrays of making linear or affine transformations of the variables is studied...read more

Product Description: Designed for the first course in interpersonal communication, the Sixth Edition retains the features that have contributed to its long-standing success: a clear, conversational writing style; and the self-contained Lab Manual that includes case studies, exercises, and examples which link principles and practices in an experiential environment...read more (view table of contents, read Amazon.com's description)

Product Description: As the use of single crystals in scientific and technological applications has become increasingly important, so has an understanding of the variation of physical properties with crystalline direction. Such knowledge is needed to maximize the performance of solid state devices and many useful effects can be produced only in materials of the correct orientation...read more

Product Description: The purposes of the text are: To introduce the engineer to the very important discipline in applied mathematics-tensor methods as well as to show the fundamental unity of the different fields in continuum mechanics-with the unifying material formed by the matrix-tensor theory and to present to the engineer modern engineering problems...read more

Product Description: A classic text in Wiley's Applied Mathematics Series.

Product Description: This book presents a method which is capable of evaluating the deformation characteristics of thin shell structures A free vibration analysis is chosen as a convenient means of studying the displacement behaviour of the shell, enabling it to deform naturally without imposing any particular loading conditions...read more

Product Description: Vectors and Tensors in Engineering and Physics, Second Edition develops the calculus of tensor fields and uses this mathematics to model the physical world. This new edition includes expanded derivations and solutions, and new applications, to make this successful text an even more useful and user-friendly book than the first edition...read more

Product Description: This book introduces the concepts of tensor algebras and differentiable manifolds to the intermediate-level student. It describes analytical and geometrical structures built on these basic concepts. Those structures -- which include differential forms and their integration, flows, Lie derivatives, distributions and their integrability conditions, connections, and pseudo-Riemannian and symplectic manifolds -- are then applied to the description of the fundamental ideas and Hamiltonian and Lagrangian mechanics, and special and general relativity...read more