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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
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.
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
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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