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Synopsis
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.
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On the Solution of Linear Equations in Infinitely Many Variables: Thesis
Print on DemandSeller: Forgotten Books, London, United Kingdom
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Paperback. Condition: New. 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. print-on-demand item. Seller Inventory # 9781528224369_0
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On the Solution of Linear Equations in Infinitely Many Variables
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LX-9781528224369
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On the Solution of Linear Equations in Infinitely Many Variables
Seller: PBShop.store UK, Fairford, GLOS, United Kingdom
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LX-9781528224369
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