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# Vector Analysis

E-Books for free online viewing and/or download

## e-books in this category

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**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.

(**375** 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'.

(**598** 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.

(**976** 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.

(**1002** 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.

(**1771** 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.

(**1712** 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.

(**1500** 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...

(**2655** 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.

(**4864** 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.

(**4820** 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.

(**7278** 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.

(**5708** 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.

(**10147** 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.

(**6810** 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.

(**18599** 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.

(**10352** 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.

(**15714** 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.

(**12528** views)

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