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Linear vector spaces and Cartesian tensors by James K. Knowles is a mathematics available to read on EtoBox.

What is Linear vector spaces and Cartesian tensors about?

<p><p><b>linear Vector Spaces And Cartesian Tensors</b> Is Primarily Concerned With The Theory Of Finite Dimensional Euclidian Spaces. It Makes A Careful Distinction Between Real And Complex Spaces, With An Emphasis On Real Spaces, And Focuses On Those Elements Of The Theory That Are Especially Important In Applications To Continuum Mechanics. The Geometric Content Of The Theory And The Distinction Between Matrices And Tensors Are Emphasized, And Absolute- And Component-notation Are Both Employed. While The Mathematics Is Rigorous, The Style Is Casual. <br> Chapter 1 Deals With The Basic Notion Of A Linear Vector Space; Many Examples Of Such Spaces Are Given, Including Infinite-dimensional Ones. The Idea Of A Linear Transformation Of A Vector Space Into Itself Is Introduced And Explored In Chapter 2. Chapter 3 Deals With Linear Transformations On Finite Dimensional Real Euclidean Spaces (i.e., Cartesian Tensors), Focusing On Symmetric Tensors, Orthogonal Tensors, And The Interaction Of Both In The Kinetically Important Polar Decomposition Theorem. Chapter 4 Exploits The Ideas Introduced In The First Three Chapters In Order To Construct The Theory Of Tensors Of Rank Four, Which Are

Who reads Linear vector spaces and Cartesian tensors?

It is typically read by self-directed learners exploring a subject in depth.

Common subject areas: history, science, philosophy, social sciences.

Author
James K. Knowles
Publisher
IRL Press at Oxford University Press
Published
1998
Language
EN
ISBN
9780195112542
Category
mathematics
Subjects
Mathematics, Stem
Rating
3.8 / 5 (3 ratings)
Updated
2026-03-14

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