Linear Algebra and Matrix Theory (Dover Books on Mathematics)
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Book Details
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Publisher: Dover Publications
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Author: Robert R. Stoll
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Language: English
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ISBN: 9780486623184
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Pages: 288
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Cover: Paperback
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Dimensions: 7.9 x 5.3 x 0.6 inches
About The Book
Matrix Theory by Robert R. Stoll is a highly regarded text that serves as an excellent resource for advanced undergraduate and first-year graduate students. It is especially useful for bridging the gap between ordinary undergraduate mathematics and more abstract concepts found in modern algebra. The book provides a deep dive into matrix theory, making it an essential read for students in fields such as economics, psychology, statistics, physics, and mathematics.
The first five chapters cover foundational topics that are critical in these fields, including equivalence relations for matrices, postulational approaches to determinants, and bilinear, quadratic, and Hermitian forms in their natural settings. The text is designed to be accessible while providing a thorough introduction to these concepts.
The final chapters, which are more advanced, focus on topics primarily relevant to students of engineering, physics, and advanced mathematics. They explore groups and rings, canonical forms for matrices with respect to similarity, and unitary and Euclidean vector spaces.
Numerous examples throughout the text enhance the learning experience, making complex concepts more approachable. Whether you are pursuing a career in engineering, physics, or any advanced mathematical field, Stoll's Matrix Theory provides both the theory and practical applications to help you succeed.