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
- 7. 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. Ninul is a unique mathematical exposition linking classical trigonometric relationships with modern multilinear algebra and tensor formalisms. Designed for advanced mathematics and theoretical physics researchers, this volume serves as a primary guide for tensor trigonometry vector calculus problem solving practice.
The monograph systematically explores curvilinear coordinates, metric tensors, generalized angular measures, spherical transformations, and tensor field invariants. By synthesizing geometric intuition with rigorous algebraic notation, Ninul enables readers to carry out essential tensor trigonometry coordinate transformation derivations with precise mathematical accuracy.
Highly valued for its innovative framework in geometric analysis, this reference provides essential mathematical machinery for continuous mechanics and field theory. Ninul’s structural formulation arms scholars with analytical tools necessary for mastering modern tensor trigonometry principles across theoretical disciplines.
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 dedicated researcher in geometric analysis and theoretical mechanics, recognized for expanding classical trigonometric formulations into multidimensional tensor spaces.
Throughout his academic career, Ninul has focused on formalizing vector-tensor generalizations to assist physicists and mathematicians with advanced tensor trigonometry research guides.
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