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Invariantive Characterizations of Linear Algebras With the Associative Law Not Assumed: A Dissertation Submitted to the Faculty of the Ogden Graduate ... of Philosophy, Department of Mathematics - Softcover

 
9781333461676: Invariantive Characterizations of Linear Algebras With the Associative Law Not Assumed: A Dissertation Submitted to the Faculty of the Ogden Graduate ... of Philosophy, Department of Mathematics

Synopsis

Excerpt from Invariantive Characterizations of Linear Algebras With the Associative Law Not Assumed: A Dissertation Submitted to the Faculty of the Ogden Graduate School of Science in Candidacy for the Degree of Doctor of Philosophy, Department of Mathematics

N O analogous theorem exists concerning the interchange of two rows.

Lemma 2; Any hypercomplex determinant two of whose columns are identical is zero.

For by the interchange of the two identical columns the determinant is nu altered, and yet changes in sign.

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This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

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  • PublisherForgotten Books
  • Publication date2018
  • ISBN 10 1333461674
  • ISBN 13 9781333461676
  • BindingPaperback
  • LanguageEnglish
  • Number of pages26

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Paperback. Condition: New. Print on Demand. This book delves into the world of linear algebras, a branch of mathematics enriching our understanding of how numbers behave under certain operations. The author begins by introducing the fundamentals of linear algebras, exploring the concept of invariant functions and their significance in characterizing these algebras. Through original research, the author presents a groundbreaking method for constructing vector covariants directly from the algebra's defining constants, eliminating the need for pre-existing ordinary covariants or invariants. This novel approach leads to the identification of a complete system of invariants and covariants for a particular type of linear algebra, showcasing the power of the author's methodology. The book concludes by demonstrating the practical application of these invariants in characterizing the generic case of this specific algebra, highlighting their role in distinguishing and classifying different types of linear algebras. Overall, this book offers valuable insights into the study of linear algebras, providing both theoretical advancements and practical tools for researchers and mathematicians. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Seller Inventory # 9781333461676_0

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