Introduction to Non-linear Algebra by V. Dolotin & A. Morozov
Introduction to Non-linear Algebra - Table of Contents
PART I: FOUNDATIONS & RESULTANTS
- 1. Introduction
- 2. Solving Equations. Resultants
- 3. Evaluation of Resultants and Their Properties
- 4. Discriminants of Polylinear Forms
PART II: APPLICATIONS & DYNAMICS
- 5. Examples of Resultants and Discriminants
- 6. Eigenspaces, Eigenvalues and Resultants
- 7. Iterated Maps
- 8. Potential Applications
- 9. Acknowledgements
What You Will Learn in Introduction to Non-linear Algebra
Introduction to Non-linear Algebra by V. Dolotin and A. Morozov is a groundbreaking textbook that extends the well-known principles of linear algebra to higher-degree forms and multi-index tensors. This comprehensive volume guides readers through resultants, discriminants, hyperdeterminants, and non-linear equations without overwhelming them with unnecessary abstraction.
Ideal for graduate students, theoretical physicists, and research mathematicians, this foundational text bridges pure algebra and modern mathematical physics. The authors employ step-by-step mathematical developments and clear analytical frameworks to simplify core tensor operations. Whether you are studying non-linear systems for the first time or exploring string theory and quantum field applications, this book offers a clear roadmap.
Recognized worldwide for its innovative approach to tensor spaces, it remains one of the best non-linear algebra books for self-study. By balancing rigorous theory with practical physical applications, it serves as an indispensable resource for mastering non-linear mathematical structures with confidence.
Book Details & Specifications
Title:
Introduction to Non-linear Algebra by V. Dolotin & A. Morozov
Publisher:
World Scientific Publishing Company
Year:
2008
Pages:
147
Type:
PDF
Language:
English
ISBN-10 #:
9812708006
ISBN-13 #:
978-9812708007
License:
Arxiv License
Amazon:
Amazon
About the Author: V. Dolotin & A. Morozov
The author V. Dolotin & A. Morozov
are well-known scholars in "mathematical physics", recognized for their work on advanced algebraic structures. Their research focuses on extending traditional "linear algebra" into richer, more complex "non-linear systems", especially those relevant to modern theoretical science. Both authors have made important contributions to "theoretical mathematics" and physics, particularly in areas connecting algebra with geometry and quantum theory. Through "Introduction to Non-linear Algebra", they combine deep theory with originality, making the book influential for graduate students and researchers exploring "non-linear algebra".
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