**Symbolic Tensor Calculus on Manifolds: a SageMath Implementation**

by Eric Gourgoulhon, Marco Mancini

**Publisher**: arXiv.org 2018**Number of pages**: 72

**Description**:

These lecture notes present a method for symbolic tensor calculus that (i) runs on fully specified smooth manifolds (described by an atlas), (ii) is not limited to a single coordinate chart or vector frame, (iii) runs even on non-parallelizable manifolds and (iv) is independent of the symbolic engine employed to perform calculus at the level of coordinate expressions.

Download or read it online for free here:

**Download link**

(3.6MB, PDF)

## Similar books

**Tensor Analysis**

by

**Edward Nelson**-

**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.

(

**14157**views)

**Introduction to Tensor Calculus**

by

**Taha Sochi**-

**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.

(

**3600**views)

**Quick Introduction to Tensor Analysis**

by

**Ruslan Sharipov**-

**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.

(

**11689**views)

**An Introduction to Tensors for Students of Physics and Engineering**

by

**Joseph C. Kolecki**-

**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.

(

**5805**views)