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An Introduction to the Lie Theory of One-Parameter Groups: With Applications to the Solution of Differential Equations (Classic Reprint) - Brossura

 
9781331128397: An Introduction to the Lie Theory of One-Parameter Groups: With Applications to the Solution of Differential Equations (Classic Reprint)

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The treatment is sufficiently elementary to be appreciated, under proper supervision, by undergraduates in their senior year as well as by graduates during their first year of study.

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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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Abraham Cohen
Editore: Forgotten Books, 2018
ISBN 10: 1331128390 ISBN 13: 9781331128397
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PAP. Condizione: New. New Book. Shipped from UK. Established seller since 2000. Codice articolo LW-9781331128397

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Abraham Cohen
Editore: Forgotten Books, 2018
ISBN 10: 1331128390 ISBN 13: 9781331128397
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PAP. Condizione: New. New Book. Shipped from UK. Established seller since 2000. Codice articolo LW-9781331128397

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Abraham Cohen
Editore: Forgotten Books, 2018
ISBN 10: 1331128390 ISBN 13: 9781331128397
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Paperback. Condizione: New. Print on Demand. This book delves into the intricate world of differential equations, exploring the elegant and powerful Lie theory for their classification and solution. While familiarity with basic differential equation theory is beneficial, the author's approach is clear and accessible, making it suitable for advanced undergraduate and graduate students. Emerging in the late 19th century, the Lie theory revolutionized the study of differential equations by revealing the profound connections between symmetry, geometry, and analysis. This book emphasizes the unifying power of Lie's methods, demonstrating how they bring diverse classes of differential equations under a common framework. Through numerous examples and applications, readers will gain a practical understanding of concepts like one-parameter groups, infinitesimal transformations, and invariant functions. The book also touches upon contact transformations and higher-order differential equations, providing a comprehensive introduction to this transformative area of mathematics. Ultimately, this book illuminates the profound impact of Lie theory on the understanding and solution of differential equations, offering a valuable resource for students and mathematicians alike. 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. Codice articolo 9781331128397_0

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