An Introduction to the Lie Theory of One-Parameter Groups (Classic Reprint)

Abraham Cohen

ISBN 10: 1331128390 / ISBN 13: 9781331128397

Edité par Forgotten Books, 2018

A propos de cet article

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.

N° de réf. du vendeur 9781331128397_0

Détails bibliographiques

• Titre: An Introduction to the Lie Theory of One-Parameter Groups (Classic Reprint)
• Éditeur: Forgotten Books
• Date de parution: 2018
• Langue: anglais
• ISBN à 10 chiffres: 1331128390
• ISBN à 13 chiffres: 9781331128397
• Reliure: Paperback
• État de l'article: New
• Type de livre: print-on-demand item
• Catalogues du vendeur:
  • Calculus

A propos de ce titre

Synopsis

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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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.