# Encyclopaedia of Mathematics

*Tensor calculus is an important constituent part of the apparatus of differential
geometry. In this connection it was first systematically developed by G. Ricci and
T. Levi-Civita (see [I]): it has often been called the '*

**Ricci calculus**". The term ' tensor* ...

**Author**: Michiel Hazewinkel

**Publisher:** Springer Science & Business Media

**ISBN:** 9781556080081

**Page:** 536

**View:** 481

# The Attraction of Gravitation

*to call attention to " Ricci's generally neglected absolute calculus and to its *

suggestiveness as an implement of research in developing the theory of surfaces

of two dimensions in Euclidean space of n dimensions" (Wilson 1916). During

this ...

**Author**: John Earman

**Publisher:** Springer Science & Business Media

**ISBN:** 9780817636241

**Page:** 432

**View:** 527

# Tensor Analysis and Nonlinear Tensor Functions

*In his works , in 1886-1901 Ricci created a new apparatus called the absolute
differential calculus for algebraic and differential operations on covariant and
contravariant systems of order 1 ( so Ricci named tensor components by Irira ... ry
and ...*

**Author**: Yuriy I. Dimitrienko

**Publisher:** Springer Science & Business Media

**ISBN:** 9781402010156

**Page:** 662

**View:** 220

# The Ricci Flow

*http://dx.doi.org/10.1090/surv/110/10 APPENDIX A The Ricci calculus From the
viewpoint of Riemannian geometry, the Ricci flow is a very natural evolution
equation, because it can be formulated entirely in terms of intrinsically-defined ...*

**Author**: Bennett Chow

**Publisher:** American Mathematical Soc.

**ISBN:** 0821835157

**Page:** 325

**View:** 639

# Bulletin of the American Mathematical Society

*J . L . ERICKSEN Ricci - Calculus . An introduction to tensor analysis and its *

geometrical applications . By J . A . Schouten . 2d ed . Berlin , Springer , 1954 . 20

+ 516 pp . 55 DM ; clothbound , 58 . 60 DM . Since the publication in 1901 of the ...

**Author**: American Mathematical Society

**Publisher:**

**ISBN:**

**Page:**

**View:** 733

# Tensor Calculus

*G . Ricci and T . LEVI - CIVITA , Méthodes de calcul differentiel absolu et leurs
applications ( Paris , 1923 ) . ( Reprinted from Mathematische Annalen , tome 54 ,
1900 . ) 2 . J . A . SCHOUTEN , *

**Ricci Calculus**( 2nd ed . , Berlin , 1954 ) . 3 .

**Author**: John Lighton Synge

**Publisher:**

**ISBN:**

**Page:** 324

**View:** 347

# Zeitschrift f r Astrophysik

# A Comprehensive Introduction to Differential Geometry

*Chapter 5 . The Absolute Differential Calculus ( The Ricci Calculus ) ; or , The
Debauch of Indices Although Riemann essentially defined the curvature tensor ,
the ( classical ) notion of a tensor did not even exist in his time . The development
of ...*

**Author**: Michael Spivak

**Publisher:**

**ISBN:**

**Page:** 423

**View:** 910

# Einstein Centenarium 1979

*Einstein developed his Relativity by the very skilful employment of Ricci -
Calculus . This fact gave to Geometry , especially to differential geometry , such a
large influence that Ricci - Calculus turned into Riemannian Geometry . Indeed ,
until ...*

**Author**: Hans Jürgen Treder

**Publisher:**

**ISBN:**

**Page:** 263

**View:** 598

# Encyclopedia of physics

# Mathematische Methoden

# Annales Academiae Scientiarum Fennicae

# The Hutchinson Dictionary of Scientists

# Contributions to the Geology of Tenerife Canary Islands

*It is a well known fact that the different calculi used in operating with geometrical
or physical quantities - such as the RICCI calculus , the vector and dyadic
calculus of GIBBS , the matrix algebra , the Cracovian algebra of
BANACHIEWICZ ...*

**Author**: Hans Hausen

**Publisher:**

**ISBN:**

**Page:** 270

**View:** 153

# Commentationes Physico mathematicae

# Report of the Meeting of the Australian and New Zealand Association for the Advancement of Science

*In this year Riccis published his first short note dealing with the calculus which is
now known variously as the Ricci Calculus , the Absolute Differential Calculus ,
or the Calculus of Tensors . Riemann's metric and Christoffel's formula of ...*

**Author**: ANZAAS (Association). Meeting

**Publisher:**

**ISBN:**

**Page:**

**View:** 492

# The Italian Achievement

*529 In 1930 , G. TONELLI ( born Gallipoli ) , L. CESARI and E. DIGIORGI were
the first to study multiple integral surfaces . 522/23 In 1880 , Gregorio RICCI (
born Lugo ) developed absolute differential calculus , called after him *

**Ricci**

**Calculus**.

**Author**: Arturo Barone

**Publisher:** Renaissance Books

**ISBN:**

**Page:** 324

**View:** 217