An Introduction to the Lie Theory of One-Parameter Groups: With Applications to the Solution of Differential Equations (Classic Reprint) - Softcover
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.
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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.
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An Introduction to the Lie Theory of One-Parameter Groups (Classic Reprint)
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Paperback. Condition: 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. Seller Inventory # 9781331128397_0
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