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" Tensor calculus and applications : "
Bhaben Chandra Kalita
Document Type
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BL
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Record Number
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874917
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Main Entry
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Kalita, Bharat Chandra,1937-
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Title & Author
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Tensor calculus and applications : : simplified tools and techniques /\ Bhaben Chandra Kalita
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Publication Statement
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Boca Raton :: CRC Press,, [2019]
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, ©2019
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Series Statement
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Mathematics and its applications
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Page. NO
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1 online resource (xiii, 160 pages)
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ISBN
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0429028679
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: 0429644922
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: 0429647565
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: 0429650205
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: 9780429028670
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: 9780429644924
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: 9780429647567
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: 9780429650208
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0367138069
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9780367138066
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Bibliographies/Indexes
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Includes bibliographical references and index
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Contents
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Prerequisites for tensors -- Concept of tensors -- Riemannian metric and fundamental tensors -- Christoffel three-index symbols (brackets) and covariant differentiation -- Properties of curves in Vn geodesics -- Riemann symbols (curvature tensors) -- Application of tenors in general theory of relativity -- Tensors in continuum mechanics -- Tensors in geology -- Tensors in fluid dynamics
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Abstract
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The aim of this book is to make the subject easier to understand. This book provides clear concepts, tools, and techniques to master the subject -tensor, and can be used in many fields of research. Special applications are discussed in the book, to remove any confusion, and for absolute understanding of the subject. In most books, they emphasize only the theoretical development, but not the methods of presentation, to develop concepts. Without knowing how to change the dummy indices, or the real indices, the concept cannot be understood. This book takes it down a notch and simplifies the topic for easy comprehension
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Subject
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Calculus of tensors.
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Subject
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Geometry, Differential.
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Subject
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Calculus of tensors.
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Subject
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Geometry, Differential.
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Subject
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MATHEMATICS-- Applied.
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Subject
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MATHEMATICS-- Calculus.
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Subject
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MATHEMATICS-- Mathematical Analysis.
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Subject
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TECHNOLOGY-- Engineering-- Industrial.
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Subject
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TECHNOLOGY-- Operations Research.
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Dewey Classification
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515/.63
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LC Classification
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QA433.K345 2019
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