Introduction to tensor analysis.
Publisher: Merrill
Published: 1962
Place of publication: Columbus(Ohio)
Language: eng
Number of pages: 68
First sentence: You will find in most books on tensor analysis or engineering that a vector is defined as a set of numbers (its components in a particular coordinate system) and a recipe by which these components change when a different coordinate system is used as a reference.
Notes: Grab it on the Cornell University Website:
http://www.google.ca/url?sa=t&source=web&ct=res&cd=1&ved=0CAcQFjAA&url=http%3A%2F%2Ftam.cornell.edu%2Ftam%2Fcms%2Fgraduate%2Fupload%2FTAM6110-Tensoranalysis-012208.pdf&ei=x24BS_u3J8uWlAfWt7GKCw&usg=AFQjCNG1He6A4G_64aRRIucONqQBwJuRHQ&sig2=LxH8wZ_wiT_Xs0bxhPSwEg
Table of contents: title: What is a Vector?
pagenum: 1
class: chapter
label: 1; label: 2
pagenum: 3
class: chapter
title: Algebra; label: 3
pagenum: 5
class: chapter
title: Dyads, Dyadics, Tensors; title: Linear Dependance: Dimension
pagenum: 7
class: chapter
label: 4; title: Components: Change of Basis
pagenum: 8
class: chapter
label: 5; title: Linear Transformations
pagenum: 13
class: chapter
label: 6; label: 7
pagenum: 17
class: chapter
title: Inner Product: Metric Tensor; title: Reciprocal Bases: Covariant Components: Mixex Components
pagenum: 22
class: chapter
label: 8; title: Tensors as Linear Functions
pagenum: 28
class: chapter
label: 9; title: Contraction
pagenum: 32
class: chapter
label: 10; label: 11
pagenum: 34
class: chapter
title: Example: Moment of Momentum of a Rigid Body; label: 12
pagenum: 37
class: chapter
title: State of Stress at a Point; label: 13
pagenum: 43
class: chapter
title: Some Other Point Tensors; title: Cross Products
pagenum: 46
class: chapter
label: 14; label: 15
pagenum: 52
class: chapter
title: Curvilinear Coordinates; title: Covariant Derivatives
pagenum: 57
class: chapter
label: 16; pagenum: 62
class: chapter
title: Further Reading