Tensor Trigonometry by A.S. Ninul
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About this book :-
The tensor trigonometry is development of the flat scalar trigonometry from Leonard Euler classic forms into general multi-dimensional tensor forms with vector and scalar orthoprojections and with step by step increasing complexity and opportunities.
This book is intended for researchers in the fields of multi-dimensional spaces, analytic geometry, linear and common algebra with theory of matrices, non-Euclidean geometries, theory of relativity and to all those who is interested in new knowledges and applications, given by exact sciences. It may be useful for education purposes on this new subject in university departments of algebra, geometry and physics.
Book Detail :-
This book has following details information.
Title:
Tensor Trigonometry by A.S. Ninul by NA
Publisher:
FIZMATLIT
Series:
FreeCompBooks
Year:
2021
Pages:
321
Type:
PDF
Language:
English
ISBN-10 #:
5940522785
ISBN-13 #:
978-5940522782
Country:
Pakistan
License:
N\A
Get this book from Amazon
About Author :-
The author NA
NA
Book Contents :-
conver the following topics.
Part-I Theory of Exact Matrices: some of general questions
1. Coefficients of characteristic polynomials
2. Affine (oblique) and orthogonal eigenprojectors
3. Main scalar invariants of singular matrices
4. Two alternative complexification variants
Part-II Tensor trigonometry: fundamental contents
5. Euclidean and quasi-Euclidean tensor trigonometry
6. Pseudo-Euclidean tensor and scalar trigonometry as a basis
7. Trigonometric interpretation of matrices commutativity and anticommutativity
8. Trigonometric spectra and trigonometric inequalities
9. Geometric norms of matrix objects
10. Complexification of tensor trigonometry
11. Tensor trigonometry of general pseudo-Euclidean spaces
12. Tensor trigonometry of Minkowski pseudo-Euclidean space
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