Tensor Analysis and Nonlinear Tensor Functions

Front Cover
Springer Science & Business Media, Nov 30, 2002 - Mathematics - 662 pages
0 Reviews

Tensor Analysis and Nonlinear Tensor Functions embraces the basic fields of tensor calculus: tensor algebra, tensor analysis, tensor description of curves and surfaces, tensor integral calculus, the basis of tensor calculus in Riemannian spaces and affinely connected spaces, - which are used in mechanics and electrodynamics of continua, crystallophysics, quantum chemistry etc.

The book suggests a new approach to definition of a tensor in space R3, which allows us to show a geometric representation of a tensor and operations on tensors. Based on this approach, the author gives a mathematically rigorous definition of a tensor as an individual object in arbitrary linear, Riemannian and other spaces for the first time.

It is the first book to present a systematized theory of tensor invariants, a theory of nonlinear anisotropic tensor functions and a theory of indifferent tensors describing the physical properties of continua.

The book will be useful for students and postgraduates of mathematical, mechanical engineering and physical departments of universities and also for investigators and academic scientists working in continuum mechanics, solid physics, general relativity, crystallophysics, quantum chemistry of solids and material science.

 

What people are saying - Write a review

We haven't found any reviews in the usual places.

Contents

IV
1
V
12
VI
17
VII
34
VIII
40
IX
43
X
50
XI
53
XXXVII
347
XXXVIII
357
XXXIX
361
XL
367
XLI
372
XLII
385
XLIII
394
XLIV
413

XII
59
XIII
65
XIV
74
XV
85
XVI
93
XVII
98
XVIII
116
XIX
129
XX
142
XXI
146
XXII
164
XXIII
169
XXIV
180
XXV
192
XXVI
202
XXVII
227
XXVIII
253
XXIX
265
XXX
274
XXXI
283
XXXII
298
XXXIII
310
XXXIV
325
XXXV
328
XXXVI
342
XLV
426
XLVI
432
XLVII
437
XLVIII
448
XLIX
456
L
462
LI
475
LII
483
LIII
488
LIV
493
LV
508
LVI
516
LVII
524
LVIII
538
LIX
546
LX
553
LXI
555
LXII
572
LXIII
582
LXIV
600
LXV
618
LXVI
646
LXVII
653
LXVIII
655
Copyright

Common terms and phrases

Popular passages

Page 654 - Murnaghan, FD: Finite Deformation of an Elastic Solid, New York, Wiley, 1951.
Page 654 - Sokolnikoff, IS: Tensor Analysis: Theory and Application to Geometry and Mechanics of Continua, New York, 1964.

Bibliographic information