Access the full text.
Sign up today, get DeepDyve free for 14 days.
Loading next page...
/lp/springer-journals/topics-on-tensor-calculus-with-applications-to-mechanics-IS8Ed2FZIL
References (24)
-
VD Kupradze, TG Gegelia, MO Basheleǐshvili, TV Burchuladze (1976)
Three-Dimensional Problems of the Mathematical Theory of Elasticity and Thermoelasticity [in Russian] -
MU Nikabadze (2007)
Topics of Tensor Calculus. II [in Russian] -
AC Eringen (1999)
Microcontinuum Field Theories. 1. Foundation and Solids -
G Korn, T Korn (1968)
Mathematical Handbook for Scientists and Engineers -
DK Faddeev (1984)
Lectures in Algebra [in Russian] -
A Love (1982)
A Treatise on the Mathematical Theory of Elasticity -
YI Dimitrienko (2001)
Tensor Calculus [in Russian], Vyssh -
AE Green, W Zerna (1954)
Theoretical Elasticity -
N Bourbaki (1989)
Algebra: Modules, Rings, Forms -
MU Nikabadze (2009)
On some problems of tensor calculus. IIJ. Math. Sci. (N.Y.), 161
-
G Ya (1958)
Lyubarskii, Group Theory and Its Applications to Physics [in Russian] -
LA Ljusternik, VI Sobolev (1965)
Elements of Functional Analysis [in Russian] -
VV Lokhin, LI Sedov (1963)
Nonlinear tensor functions of several tensor argumentsJ. Appl. Math. Mech., 27
-
AI Lurie (1980)
Nonlinear Theory of Elasticity [in Russian] -
PS Aleksandrov (1979)
A Course in Analytic Geometry and Linear Algebra [in Russian] -
AA Ilyushin (1990)
Fluid Mechanics [in Russian] -
SG Lekhnitskii (1977)
Theory of Elasticity of an Anisotropic Body [in Russian] -
MU Nikabadze (2000)
Expressions for the Christoffel symbols and for the second surface tensor under a new parametrization of a shell spaceMosc. Univ. Mech. Bull., 55
-
AG McConnell (1963)
Applications of Tensor Analysis [Russian translation] -
AN Kolmogorov, SV Fomin (1989)
Elements of the Theory of Functions and Functional Analysis [in Russian] -
FR Gantmacher (1979)
Matrix Theory [in Russian] -
GV Korenev (1995)
Tensor Calculus [in Russian] -
KF Chernykh (1988)
Introdution to Anisotropic Elasticity [in Russian] -
SG Lekhnitskii (1957)
Anisotropic Plates [in Russian]
- Publisher
- Springer Journals
- Copyright
- Copyright © 2017 by Springer Science+Business Media, LLC
- Subject
- Mathematics; Mathematics, general
- ISSN
- 1072-3374
- eISSN
- 1573-8795
- DOI
- 10.1007/s10958-017-3467-4
- Publisher site
- See Article on Publisher Site
Abstract
DOI 10.1007/s10958-017-3467-4 Journal of Mathematical Sciences, Vol. 225, No. 1, August, 2017 TOPICS ON TENSOR CALCULUS WITH APPLICATIONS TO MECHANICS M. U. Nikabadze UDC 593.8 CONTENTS Chapter 1. Linear Algebra and Functional Analysis: Main Notions and Definitions . .... . 5 1. Group Theory: Main Notions and Definitions ... .... ... .... ... ... .... . 5 2. Domain Parametrization .. ... .... ... ... .... ... .... ... ... .... . 6 3. Locally Hilbert Modules of Tensors . . . . . . . . . .... ... .... ... ... .... . 9 4. Even-Order Tensor Modules. The Ring C (Ω) with Unity ... .... ... ... .... . 20 2p 5. Eigenvalue and Eigentensor Problems for 2p-Rank Tensors ... .... ... ... .... . 25 Chapter 2. Polynomials with Tensor Coefficients and Operations with Them. Generalized B´ezout Theorem. Hamilton–Cayley Theorem ... ... ... .... . 32 6. Tensor Polynomials: Main Definitions and Operations .. ... .... ... ... .... . 32 7. Minimal Polynomials of Tensors of C (Ω) .. ... .... ... .... ... ... .... . 39 2p 8. Theorems on Adjoint, Normal, Hermitian, and Unitary Tensors of the Module C (Ω) .
Journal
Journal of Mathematical Sciences – Springer Journals
Published: Jul 4, 2017