Tensor Trigonometry by A.S. Ninul
Tensor Trigonometry - Table of Contents
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
What You Will Learn in Tensor Trigonometry
"Tensor Trigonometry" by A. S. Ninul is an advanced mathematics book that introduces a modern extension of classical trigonometry. Instead of working only with angles and triangles in a plane, the book develops trigonometric ideas using "tensors", allowing trigonometry to function in higher-dimensional spaces. This approach expands the traditional limits of the subject and offers a new mathematical language for complex systems.
The book focuses on connecting "trigonometry", "linear algebra", and "geometry" through tensor methods. Ninul explains how familiar trigonometric relationships can be rewritten in tensor form and applied to multidimensional and non-Euclidean spaces. These ideas are especially useful for understanding spatial transformations, vector relationships, and mathematical structures used in advanced theoretical work.
Designed for readers with strong mathematical backgrounds, the book is particularly relevant to students and researchers in "physics", applied mathematics, and advanced geometry. It has applications in areas such as "relativity", analytic geometry, and multidimensional motion. Overall, "Tensor Trigonometry" presents a rigorous and innovative framework that redefines how trigonometric concepts can be understood and applied beyond traditional mathematics.
Book Details & Specifications
Title:
Tensor Trigonometry by A.S. Ninul
Publisher:
FIZMATLIT
Year:
2021
Pages:
321
Type:
PDF
Language:
English
ISBN-10 #:
5940522785
ISBN-13 #:
978-5940522782
License:
External Educational Resource
Amazon:
Amazon
About the Author: Anatoly Sergeevich Ninul
The author
Anatoly Sergeevich Ninul
is a Russian mathematician and Professor of Moscow St. University M.M. Postnikov. He is known for his innovative work in "tensor trigonometry", a field that extends traditional trigonometric concepts into higher-dimensional mathematics. He focuses on combining "trigonometry" with "linear algebra" and geometric structures to create new mathematical frameworks. Ninul’s research is widely connected to "geometry" and "physics", including applications in multidimensional motion and theoretical models such as "relativity". His books are written for advanced students and researchers, offering deep mathematical insight beyond classical approaches.
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