Introduction to Non-linear Algebra by V. Dolotin & A. Morozov
Introduction to Non-linear Algebra - Table of Contents
1. Introduction
2. Solving Equations. Resultants
3. Evaluation of Resultants and Their Properties
4. Discriminants of Polylinear Forms
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
This text is a survey of abstract algebra with emphasis on linear algebra. is a solid textbook that combines the study of both abstract and linear algebra. It covers basic topics like vector spaces and matrices, then goes into more advanced ideas like groups and rings. It is intended for students in mathematics, computer science, and the physical sciences.
The book is well-organized and focuses on helping students understand the theory behind the math, with lots of examples and exercises to practice. The presentation is compact and tightly organized, but still somewhat informal. It’s great for undergraduate students who want to learn more about algebra and how it works.
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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