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Tensor Calculus

e-books in Tensor Calculus category

Book cover: Symbolic Tensor Calculus on Manifolds: a SageMath ImplementationSymbolic Tensor Calculus on Manifolds: a SageMath Implementation
by - arXiv.org ,
These lecture notes present a method for symbolic tensor calculus that runs on fully specified smooth manifolds (described by an atlas), that is not limited to a single coordinate chart or vector frame, and runs even on non-parallelizable manifolds.
(849 views)
Book cover: Tensor CalculusTensor Calculus
by - viXra ,
These notes are the second part of the tensor calculus documents. In this text we continue the discussion of selected topics of the subject at a higher level expanding, when necessary, some topics and developing further concepts and techniques.
(2205 views)

Book cover: Introduction to Tensor CalculusIntroduction to Tensor Calculus
by - arXiv ,
These are general notes on tensor calculus which can be used as a reference for an introductory course on tensor algebra and calculus. A basic knowledge of calculus and linear algebra with some commonly used mathematical terminology is presumed.
(2771 views)
Book cover: Introduction to Tensor CalculusIntroduction to Tensor Calculus
by - University of Heidelberg ,
This booklet contains an explanation about tensor calculus for students of physics and engineering with a basic knowledge of linear algebra. The focus lies on acquiring an understanding of the principles and ideas underlying the concept of 'tensor'.
(2809 views)
Book cover: A Gentle Introduction to TensorsA Gentle Introduction to Tensors
by - Technion ,
The book discusses constant tensors and constant linear transformations, tensor fields and curvilinear coordinates, and extends tensor theory to spaces other than vector spaces, namely manifolds. Written for the benefits of Engineering students.
(3575 views)
Book cover: An Introduction to Tensors for Students of Physics and EngineeringAn Introduction to Tensors for Students of Physics and Engineering
by - Glenn Research Center ,
The book should serve as a bridge to the place where most texts on tensor analysis begin. A semi-intuitive approach to those notions underlying tensor analysis is given via scalars, vectors, dyads, triads, and similar higher-order vector products.
(4987 views)
Book cover: Functional and Structured Tensor Analysis for EngineersFunctional and Structured Tensor Analysis for Engineers
by - The University of Utah ,
A step-by-step introduction to tensor analysis that assumes you know nothing but basic calculus. Considerable emphasis is placed on a notation style that works well for applications in materials modeling, but other notation styles are also reviewed.
(8395 views)
Book cover: Quick Introduction to Tensor AnalysisQuick Introduction to Tensor Analysis
by - Samizdat Press ,
The author gives only a draft of tensor theory, he formulates definitions and theorems and gives basic ideas and formulas. Proving consistence of definitions, deriving formulas, proving theorems or completing details to proofs is left to the reader.
(10895 views)
Book cover: Tensors and RelativityTensors and Relativity
by ,
Contents: the special theory of relativity, vectors and tensors in special relativity, conceptual basis of general relativity, curved space time and general relativity, Einstein's field equations, Schwarzschild's solution.
(11299 views)
Book cover: Tensor AnalysisTensor Analysis
by - Princeton Univ Pr ,
The lecture notes for the first part of a one-term course on differential geometry given at Princeton in the spring of 1967. They are an expository account of the formal algebraic aspects of tensor analysis using both modern and classical notations.
(13031 views)