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

Abraham Cohen

ISBN 10: 1331128390 / ISBN 13: 9781331128397

Published by Forgotten Books, 2018

About this Item

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Seller Inventory # ERICA80013311283906

Bibliographic Details

• Title: An Introduction to the Lie Theory of One-Parameter Groups: With Applications to the Solution of Differential Equations (Classic Reprint)
• Publisher: Forgotten Books
• Publication Date: 2018
• Language: English
• ISBN 10: 1331128390
• ISBN 13: 9781331128397
• Binding: paperback
• Condition: New
• Book Type: book

About this title

Synopsis

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.

About the Author

Abraham Cohen (1887-1957) was the editor of the Soncino Books of the Bible and participated in the Soncino translation of the Talmud and Midrash.