2 edition of **Ricci-calculus** found in the catalog.

Ricci-calculus

J. A. Schouten

- 3 Want to read
- 17 Currently reading

Published
**1954**
by Springer-Verlag in Berlin
.

Written in English

**Edition Notes**

Statement | by J ASchouten. |

Series | Grundlehren der mathematischen Wissenschaften -- 10 |

The Physical Object | |
---|---|

Pagination | XX,516p. |

Number of Pages | 516 |

ID Numbers | |

Open Library | OL20570322M |

Ricci-Calculus: An Introduction to Tensor Analysis and Its Geometrical Applications Grundlehren der mathematischen Wissenschaften: : Jan Arnoldus Schouten: Libros en 5/5(6). It assumes a holonomic basis, which the Ricci calculus does not require The term "normal" (orthogonal) has no meaning in the absence of a metric tensor ; Ricci calculus does not need one The term "inner product" similarly does not apply (it is not the same thing as a contraction, which corresponds to the action of a covector on a vector)(Rated B-class, High-importance): .

absolute tensor calculus was the name used by Ricci. Schouten formalized the changes and extensions that Einstein needed for the ART, so Schouten () Der Ricci-Kalkül should be considered a final summarization of the tensor calculus in gravitational physics and differential geometry before WWII and the Manhattan project Riemann curvature tensor = ((∂, ∂) ∂) Torsion tensor = − − which follows from = ∇ − ∇ − [,] where X and Y are vector fields and [, ] is the Lie bracket of vector fields.. Levi-Civita tensor. The covariant Levi-Civita tensor in an n-D metric space may be defined as the unique (up to a sign) n-form (completely antisymmetric order-n covariant tensor) that obeys the relation.

The method of calculation is the absolute differential calculus, or tensor analysis, of M. M. G. Ricci (–, Italian), which was noted earlier in connection with the general progress of recent mathematics toward structure. The Ricci calculus, however, originated in the algebra of quadratic differential forms. Tensor analysis, branch of mathematics concerned with relations or laws that remain valid regardless of the system of coordinates used to specify the quantities. Such relations are called covariant. Tensors were invented as an extension of vectors to formalize the manipulation of geometric entities arising in the study of mathematical manifolds.. A vector is an entity that has .

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Schouten's "RICCI CALCULUS" is - by far - a classic. Provided that one is willing to educate themselves on the anachronistic nomenclature - this book Cited by: Now since there have been many new developments and so a book on RICCI cal culus and its applications has to cover quite different ground from the book of Though the purpose remains to make the reader acquainted with RICCI's famous instrument in its modern form, the book must have quite a different methodical structure and quite different Price: $ Ricci-Calculus: An Introduction to Tensor Analysis and Its Geometrical Applications (Grundlehren der mathematischen Wissenschaften) Only 1 left in stock - order soon.

This is an entirely new book. The first edition appeared in and at that time it was up to : Paperback, Abridged. Now since there have been many new developments and so a book on RICCI cal culus and its applications has to cover quite different ground from the book of Though the purpose Ricci-calculus book to make the reader acquainted with RICCI's famous instrument in its modern form, the book must have quite a different methodical structure and quite different applica.

Now since there have been many new developments and so a book on RICCI cal culus and its applications has to cover quite different ground from the book of Though the purpose remains to make the reader acquainted with RICCI's famous instrument in its modern form, the book must have quite a different methodical structure and quite different applica.

This is an entirely new book. The first edition appeared in and at that time it was up to date. But in 5 and the author and Prof.

STRUIK published a new book, their Einführung I and li, and this book not only gave the first systematic introduction to the kernel index method but also contained many notions that had come into prominence since Get this book in print. Ricci-calculus: An Introduction to Tensor Analysis and Its Geometrical Applications.

Jan Arnoldus Schouten. Springer, - Calculus of tensors - pages. 0 Reviews. From inside the book. What people are saying - Write a review. We haven't found any reviews in the usual places. Ricci-calculus an introduction to tensor analysis and its geometrical applications.

2d ed. by J. Schouten. Published by Springer in Berlin. Written in EnglishCited by: We now begin our presentation of the Ricci calculus, or the calculus of congruences of curves, which will form one of the essential ingredients of the leg calculus.

Our exposition closely follows the classical one given by Ricci which is recounted in the books of Levi-Cività (), Eisenhart (), and Weatherburn (), except for our use Cited by: 3.

introduction to this mathematics in the excellent book of Weinberg (). Weinberg minimizes the geometrical content of the equations by representing tensors using com-ponent notation. We believe that it is equally easy to work with a more geometrical description, with the additional beneﬁt that geometrical notation makes it easier to dis-File Size: KB.

Buy Ricci-Calculus: An Introduction to Tensor Analysis and Its Geometrical Applications (Grundlehren der mathematischen Wissenschaften) by Schouten, Jan Arnoldus (ISBN: ) from Amazon's Book Store. Everyday 5/5(7). Now since there have been many new developments and so a book on RICCI cal culus and its applications has to cover quite different ground from the book of Schouten's "RICCI CALCULUS" is - by far - a classic.

Provided that one is willing to educate themselves on the anachronistic nomenclature - this book 5/5. Similar Items. An introduction to differential geometry: with use of the tensor calculus / by: Eisenhart, Luther Pfahler, Published: () Manifolds, tensors, and forms: an introduction for mathematicians and physicists / by: Renteln, Paul, Published: () Tensor geometry: the geometric viewpoint and its uses / by: Dodson, C.

Published: (). Unfortunately, the book's terseness is due in part to the fact that the first five chapters are basically abridged excerpts from the author's lengthier treatise, "Ricci-Calculus". In nearly every respect, the aforementioned title is more complete than the present by: Buy Ricci-Calculus: An Introduction To Tensor Analysis And Its Geometrical Applications (Grundlehren der mathematischen Wissenschaften) Softcover reprint of the original 1st ed.

by Schouten, Jan Arnoldus (ISBN: ) from Amazon's Book Store. Everyday low prices and free delivery on eligible : Jan Arnoldus Schouten. Additional Physical Format: Online version: Schouten, J.A. (Jan Arnoldus), b. Ricci-calculus. Berlin, Springer, (OCoLC) Material Type.

{{#invoke:Hatnote|hatnote}}Template:Main other In mathematics, Ricci calculus constitutes the rules of index notation and manipulation for tensors and tensor fields. It is also th.

This is an entirely new book. The first edition appeared in and at that time it was up to date. But in 5 and the author and Prof.

STRUIK published a new book, their Einfuhrung I and li, and this book not only gave the first systematic introduction to the kernel- index method but also contained many notions that had come into prominence since For instance. COVID Resources.

Reliable information about the coronavirus (COVID) is available from the World Health Organization (current situation, international travel).Numerous and frequently-updated resource results are available from this ’s WebJunction has pulled together information and resources to assist library staff as they consider how to handle.

1 The index notation Before we start with the main topic of this booklet, tensors, we will ﬁrst introduce a new notation for vectors and matrices, and their algebraic manipulations: the indexFile Size: KB.

Ricci-Calculus by Jan Arnoldus Schouten,available at Book Depository with free delivery worldwide. Ricci-Calculus: Jan Arnoldus Schouten: We use cookies to give you the best possible : Jan Arnoldus Schouten.E-mail: kadlec @ Elsevier Science B.V.

SSDI(95) LONG WRITE-UP J. Kadlecsik / Computer Physics Communications 93 () 1. Introduction Ricci calculus [ 1] is a well-known method in general relativity [2,3] for applying indexed expressions in terms of tensors and by: 1.