tensor calculus
tensor analysis

The origins of this idea can be traced back to two main sources: surface theory and tensor calculus.

Absolute differential calculus - the original name for tensor calculus developed around 1890.

Einstein and Grossmann (1913) includes Riemannian geometry and tensor calculus.

The tensor calculus really came to life, however, with the advent of Albert Einstein's theory of general relativity in 1915.

Some of the mathematicians include Jan Arnoldus Schouten, contributor to the tensor calculus.

At around this time, perhaps encouraged by Tullio Levi-Civita, she switched her research focus from functional analysis to tensor calculus.

The absolute differential calculus, later named tensor calculus, forms the mathematical basis of the general theory of relativity.

Serressimi Exalted Transfer ShUnt in terms compatible with old-fashioned tensor calculus.

Within differential geometry are the concepts of fiber bundles and calculus on manifolds, in particular, vector and tensor calculus.

The calculus of moving surfaces (CMS) is an extension of the classical tensor calculus to deforming manifolds.

Gregorio Ricci-Curbastro invented the Tensor calculus and made meaningful works on algebra, infinitesimal analysis, and papers on the theory of real numbers.

The correspondence between contravariant and covariant tensors makes a tensor calculus on pseudo-Riemannian manifolds analogous to one on Riemannian manifolds.

Contrasted with the infinitesimal calculus, tensor calculus allows presentation of physics equations in a form that is independent of the choice of coordinates on the manifold.

Du Val's early work before becoming a research student was on relativity, including a paper on the De Sitter model of the universe and Grassmann's tensor calculus.

Gregorio Ricci-Curbastro is well known for his invention on absolute differential calculus (tensor calculus), further developed by Tullio Levi-Civita, and its applications to the theory of relativity.

Trip noticed the goggle-eyed stares of the three academics; Sopek's revelation had left them all looking as stupefied by this as third-graders poring over a textbook on eleven-dimensional tensor calculus.

In mathematics, tensor calculus or tensor analysis is an extension of vector calculus to tensor fields (tensors that may vary over a manifold, e.g. in spacetime).

For, in spite of the uncontested power of the modern Tensor Calculus, those older mathematical languages continue, in my opinion, to offer conspicuous advantages in the restricted field of special relativity.

At Cambridge, Chaudhry studied Calculus of mathematical Integrals, and learned Tensor calculus, quantum physics, and general relativity under Nobel laureate in Chemistry Ernest Rutherford.

It is a complex treatise, which requires a high level of mathematical background; it is aimed at final year maths or physics undergraduates or postgraduate students, and assumes familiarity with vector manipulation and tensor calculus.

Gruver, "Kinematics and Workspace Analysis of a Patient-Care Robot by Revolute Tensor Calculus," Proc. of the International Conference on Design, Measurement and Manufacturing, Beijing, China, 1994.

EDC and RGTC, "Exterior Differential Calculus" and "Riemannian Geometry & Tensor Calculus," are free Mathematica packages for tensor calculus especially designed but not only for general relativity.

By the beginning of the twentieth century the new branch of mathematics, tensor calculus, was developed in the works of Gregorio Ricci Curbastro and Tullio Levi Civita of the University of Padua and the University of Rome "La Sapienza".

More recently, he has appealed to tensor calculus, and its use in much of contemporary physics, to argue against the popular view (propounded by David Lewis) that the world may be described in terms of 'local matters of fact'; i.e. in terms of chiefly intrinsic properties instantiated at spatial or spatio-temporal points.

That relationship is best described in the terms of tensor analysis.

This discovery was the real beginning of tensor analysis.

This covers everything that Schouten considered of value in tensor analysis.

This employs the techniques of tensor analysis which are introduced in Chapter 5.

Some differential geometry and tensor analysis is needed in order to appreciate the full flavour of the theory.

He taught classes in advanced analytics, geometry, and tensor analysis.

He does triple integrals in his head and eats up tensor analysis for dessert.

During 1946 the department is noted as having taught advanced analytics, geometry, and tensor analysis.

Development of tensor analysis, application to Riemannian spaces and relativity theory.

Classical geometric approach to differential geometry without tensor analysis.

Tensor theory - an alternative name for tensor analysis.

A brief treatment of tensor analysis.

He found it almost impossible to concentrate on such an unimportant subject as the application of tensor analysis to electronic circuits.

Tensor calculus - an older term for tensor analysis.

The signs in the following tensor analysis depend on the convention used for the metric tensor.

He wrote Der Ricci-Kalkül in 1922 surveying the field of tensor analysis.

Ricci is a system for Mathematica 2.x and later for doing basic tensor analysis, available for free.

(Dover 2nd edition of the book formerly entitled A short course in tensor analysis for electrical engineers)

Tensor analysis.

When more specific types of differentiation are necessary, such as in multivariate calculus or tensor analysis, other notations are common.

Those elements of tensor analysis which are required for assimilating GR are presented in this chapter.

No one, I repeat-no one-has used Hamiltonian quaternions since 1915 when tensor analysis was invented.

JJ on the other hand devote a whole chapter (3) to tensor analysis and place emphasis on such classical applications as elasticity theory.

There he studied the mathematical tools of the general theory of relativity and conceived his method for applying tensor analysis to electrical power engineering.

Dual vector spaces for finite-dimensional vector spaces show up in tensor analysis.