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Introduction to Tensor Calculus
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.
(576 views)

Introduction to Vectors
by Christopher C. Tisdell - Bookboon , 2014
Vectors provide a fascinating tool to describe motion and forces in physics and engineering. This book takes learning to a new level by combining written notes with online video. Each lesson is linked with a YouTube video from Dr Chris Tisdell.
(3418 views)

The Geometry of Vector Calculus
by Tevian Dray, Corinne A. Manogue - Oregon State University , 2012
Contents: Chapter 1: Coordinates and Vectors; Chapter 2: Multiple Integrals; Chapter 3: Vector Integrals; Chapter 4: Partial Derivatives; Chapter 5: Gradient; Chapter 6: Other Vector Derivatives; Chapter 7: Power Series; Chapter 8: Delta Functions.
(3255 views)

Introduction to Tensor Calculus
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'.
(3183 views)

Calculus of Differential Forms: Course
by Peter Saveliev - Intelligent Perception , 2013
This is a two-semester course in n-dimensional calculus. An emphasis is made on the coordinate free, vector analysis. Contents: Vector calculus; Continuous differential forms; Integration of differential forms; Manifolds and differential forms.
(3186 views)

Vector Calculus: Course
by Peter Saveliev - Intelligent Perception , 2013
This is a two-semester course in n-dimensional calculus with a review of the necessary linear algebra. It covers the derivative, the integral, and a variety of applications. An emphasis is made on the coordinate free, vector analysis.
(3228 views)

Vector Calculus, with Applications to Physics
by James Byrnie Shaw - D. Van Nostrand company , 1922
Every physical term beyond mere elementary terms is carefully defined. On the other hand for the physical student there will be found a large collection of examples and exercises which will show him the utility of the mathematical methods.
(3323 views)

A Gentle Introduction to Tensors
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.
(3595 views)

An Introduction to Tensors for Students of Physics and Engineering
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.
(3199 views)

Vector Analysis Notes
by Matthew Hutton - matthewhutton.com , 2006
Contents: Line Integrals; Gradient Vector Fields; Surface Integrals; Divergence of Vector Fields; Gauss Divergence Theorem; Integration by Parts; Green's Theorem; Stokes Theorem; Spherical Coordinates; Complex Differentation; Complex power series...
(5185 views)

Vector Analysis and the Theory of Relativity
by Francis Dominic Murnaghan - Johns Hopkins press , 1922
This monograph is the outcome of lectures delivered to the graduate department of mathematics of The Johns Hopkins University. Considerations of space have made it somewhat condensed in form, but the mode of presentation is sufficiently novel.
(6793 views)

Honors Calculus
by Frank Jones - Rice University , 2004
The goal is to achieve a thorough understanding of vector calculus, including both problem solving and theoretical aspects. The orientation of the course is toward the problem aspects, though we go into great depth concerning the theory.
(6597 views)

Functional and Structured Tensor Analysis for Engineers
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.
(9251 views)

Vector Analysis and Quaternions
by Alexander Macfarlane - John Wiley & Sons , 1906
Contents: Addition of Coplanar Vectors; Products of Coplanar Vectors; Coaxial Quaternions; Addition of Vectors in Space; Product of Two Vectors; Product of Three Vectors; Composition of Quantities; Spherical Trigonometry; Composition of Rotations.
(7380 views)

Multivariable and Vector Analysis
by W W L Chen - Macquarie University , 2008
Introduction to multivariable and vector analysis: functions of several variables, differentiation, implicit and inverse function theorems, higher order derivatives, double and triple integrals, vector fields, integrals over paths, etc.
(11905 views)

Quick Introduction to Tensor Analysis
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.
(8155 views)

Vector Calculus
by Michael Corral - Schoolcraft College , 2008
A textbok on elementary multivariable calculus, the covered topics: vector algebra, lines, planes, surfaces, vector-valued functions, functions of 2 or 3 variables, partial derivatives, optimization, multiple, line and surface integrals.
(21917 views)

Introduction to Vectors and Tensors Volume 2: Vector and Tensor Analysis
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.
(12150 views)

Introduction to Vectors and Tensors Volume 1: Linear and Multilinear Algebra
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.
(18080 views)

Vector Analysis
by Gibbs, J. Willard - Yale University Press , 1929
A text-book for the use of students of mathematics and physics, taken from the course of lectures on Vector Analysis delivered by J. Willard Gibbs. Numerous illustrative examples have been drawn from geometry, mechanics, and physics.
(16239 views)

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