On the Solution of Linear Equations in Infinitely Many Variables: Thesis
Language: English
Published by Forgotten Books, 2024
- Softcover
- New
Seller: Forgotten Books, London, United KingdomForgotten Books
AbeBooks seller since June 2, 2021
Condition: New
£ 13.98
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Print on Demand. This book examines systems of linear equations with infinitely many variables. It begins by acknowledging mathematicians of the past like Fourier, Hill, and Poincare, who used infinite determinants to approach solving such systems. The author goes on to outline the three main properties of finite systems with non-vanishing determinants, which are not always true for infinite systems. They discuss the restrictions on variables and coefficients to ensure a single, bounded solution using von Koch's Theorem. The author also presents a method of successive approximations to solve these systems, proving its validity under certain conditions. They extend von Koch's work by showing that their method can be used in cases not covered by his theorem. Finally, they explore transformations that simplify these systems and discuss the significance of the book's insights for understanding linear equations with infinitely many variables. 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.…
Seller Inventory # 9781528224369_0
- Title
- On the Solution of Linear Equations in Infinitely Many Variables: Thesis
- Author
- Joseph Leonard Walsh
- Publisher
- Forgotten Books
- Publication year
- 2024
- Condition
- New
- Book Type
- print-on-demand item
- Binding
- Paperback
- Language
- English
- ISBN 10
- 1528224361
- ISBN 13
- 9781528224369
- Seller catalogs
- Calculus
Historically, then, Operations with infinite determinants proved useful and valid in the first cases where they were performed. This immediately raises the question whether such Operations are always valid in particular, whether the method of Fourier will always lead to a solution of the system (1)
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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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Forgotten Books publishes hundreds of thousands of rare and classic books.
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.
This text has been digitally restored from a historical edition. Some errors may persist, however we consider it worth publishing due to the work's historical value.
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