e-books in Tensor Calculus category
by Eric Gourgoulhon, Marco Mancini - arXiv.org , 2018
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.
by Taha Sochi - viXra , 2016
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.
by Taha Sochi - arXiv , 2016
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.
by Kees Dullemond, Kasper Peeters - University of Heidelberg , 2010
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'.
by Boaz Porat - Technion , 2010
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.
by Joseph C. Kolecki - Glenn Research Center , 2002
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.
by R. M. Brannon - The University of Utah , 2003
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.
by Ruslan Sharipov - Samizdat Press , 2004
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.
by Peter Dunsby , 2004
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.
by Ray M. Bowen, C.-C. Wang , 2008
The textbook presents introductory concepts of vector and tensor analysis, suitable for a one-semester course. Volume II discusses Euclidean Manifolds followed by the analytical and geometrical aspects of vector and tensor fields.
by Ray M. Bowen, C.-C.Wang - Springer , 2008
This book presents the basics of vector and tensor analysis for science and engineering students. Volume 1 covers algebraic structures and a modern introduction to the algebra of vectors and tensors. Clear presentation of mathematical concepts.
by Edward Nelson - Princeton Univ Pr , 1974
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.