An Introduction to Determinants: Being a Chapter From the Theory of Equations

William Snow Burnside, Arthur William Panton

ISBN 10: 1333500823 / ISBN 13: 9781333500825

Editore: Forgotten Books, 2018

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Print on Demand. This book delves into the fascinating world of determinants, a type of mathematical function that emerged as a crucial tool in the field of analysis during the late 19th century. The author systematically explores the fundamental properties of determinants, demonstrating how they simplify complex operations in both pure and applied mathematics. The book's core focus lies in the application of determinants to the solution of linear equations. The author presents a clear and accessible explanation of the key principles governing these functions, including their development, expansion, and multiplication. The reader is introduced to various methods for evaluating and manipulating determinants, including Laplace's development and the use of magic squares, providing practical examples to illustrate their application in solving real-world problems. The book serves as a valuable resource for anyone seeking to understand the power of determinants in mathematical analysis and their essential role in tackling intricate equations and systems. 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.

Codice articolo 9781333500825_0

Dati bibliografici

• Titolo: An Introduction to Determinants: Being a Chapter From the Theory of Equations
• Editore: Forgotten Books
• Data di pubblicazione: 2018
• Lingua: Inglese
• ISBN 10: 1333500823
• ISBN 13: 9781333500825
• Rilegatura: Paperback
• Condizione: New
• Tipo di libro: print-on-demand item
• Cataloghi dei venditori:
  • Algebra

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Riassunto

Excerpt from An Introduction to Determinants: Being a Chapter From the Theory of Equations

127. Elementary notions and definitions, 128. Rule with regard to signs, 129 - 432. Elementary propositions relating to determinants. Props. Minor determinants. Definitions, Development of determinants, 135. Laplace's development of determinants, 136. Development of a determinant in products of leading constituents, 137. Expansion of a determinant in products in pairs of the constituents of a row and column, 138. Addition of determinants. Prop. V., 139, 140. Prop. VI. And Prop. VII., 141. Multiplication of Determinants. Prep. VIII., Second proof of Prop. VIII., Rectangular arrays, 144. Solution of a system of linear equations, Linear homogeneous equations, Reciprocal determinants, Symmetrical determinants, Skew-symmetric and skew determinants.

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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.