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An Introduction to the Lie Theory of One-Parameter Groups: With Applications to the Solution of Differential Equations (Classic Reprint) - Softcover
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Excerpt from An Introduction to the Lie Theory of One-Parameter Groups: With Applications to the Solution of Differential Equations
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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Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com
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.
Reseña del editor
Excerpt from An Introduction to the Lie Theory of One-Parameter Groups: With Applications to the Solution of Differential Equations
The object of this book is to present in an elementary manner, in English, an introduction to Lie's theory of one-parameter groups, with special reference to its application to the solution of differential equations invariant under such groups.
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.
While a knowledge of the elementary theory of differential equations is not absolutely essential for understanding the subject matter of this book, frequent references being made to places where necessary information can be obtained, it would seem preferable to approach for the first time the problem of classifying and solving differential equations by direct, even if miscellaneous, methods to doing so by the elegant general methods of Lie; and this book is intended primarily for those who have some acquaintance with the elementary theory. To such persons it should prove of great interest and undoubted practical value. An attempt has been made throughout the work to emphasize the role played by the Lie theory in unifying the elementary theory of differential equations, by bringing under a relatively small number of heads the various known classes of differential equations invariant under continuous groups, and the methods for their solution. Special attention may be called to the lists of invariant differential equations and applications in §§ 19, 28, 30; while the two tables in the appendix include most of the ordinary differential equations likely to be met.
About the Publisher
Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com
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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- VerlagForgotten Books
- Erscheinungsdatum2017
- ISBN 10 1331128390
- ISBN 13 9781331128397
- EinbandTapa blanda
- SpracheEnglisch
- Anzahl der Seiten262
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An Introduction to the Lie Theory of One-Parameter Groups (Classic Reprint)
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Paperback. Zustand: 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. Bestandsnummer des Verkäufers 9781331128397_0
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An Introduction to the Lie Theory of OneParameter Groups With Applications to the Solution of Differential Equations Classic Reprint
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An Introduction to the Lie Theory of OneParameter Groups With Applications to the Solution of Differential Equations Classic Reprint
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PAP. Zustand: New. New Book. Shipped from UK. Established seller since 2000. Bestandsnummer des Verkäufers LW-9781331128397
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An Introduction to the Lie Theory of One-Parameter Groups : With Applications to the Solution of Differential Equations (Classic Reprint)
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