Lie Theory of One-Parameter Groups by Abraham B. Cohen
Lie Theory of One-Parameter Groups with Diff. Eqs. - Table of Contents
- 1. Lie’s Theory of One-Parameter Groups and one parameter continuous transformation groups
- 2. Differential Equations of the First Order and infinitesimal transformation integrating factor
- 3. Miscellaneous Theorems and Geometrical Applications
- 4. Differential Equations of the Second and Higher Orders
- 5. Linear Partial Differential Equations of the First Order and first order linear partial differential equations
- 6. Ordinary Differential Equations of the Second Order and second order ode lie group reduction
- 7. Contact Transformations and contact transformations canonical variables
What You Will Learn in Lie Theory of One-Parameter Groups with Diff. Eqs.
Lie Theory of One-Parameter Groups by Abraham B. Cohen is an authoritative, classical monograph exploring Sophus Lie's powerful geometric methods for solving ordinary and partial differential equations. Structured systematically across 7 comprehensive chapters, this volume covers one-parameter continuous groups, first-order differential equations, higher-order linear systems, geometric applications, and contact transformations.
Tailored for undergraduate mathematics majors, graduate research scholars, and mathematical physicists, Dr. Cohen demystifies the theoretical underpinnings of symmetry group reductions. Readers are guided step-by-step through invariant family curves, infinitesimal transformations, differential invariants, and integrating factors derived via group symmetries.
Prized for its pedagogical clarity, historical importance, and clear step-by-step solution techniques, it stands as one of the best classical lie theory textbooks pdf available for study. It systematically equips students with core symmetry-based tools for mastering differential equations with confidence.
Book Details & Specifications
Title:
Lie Theory of One-Parameter Groups by Abraham B. Cohen
Publisher:
D. C. Heath & Co.,
Year:
1911
Pages:
272
Type:
PDF
Language:
English
ISBN-10 #:
1429700602
ISBN-13 #:
978-1429700603
License:
Public Domain Work
Amazon:
Amazon
About the Author: Abraham B. Cohen
The author Abraham B. Cohen
was an American mathematician and longtime Professor of Mathematics at Johns Hopkins University.
Known for his fundamental contributions to analysis and classical differential equations, Dr. Cohen authored landmark early 20th-century textbooks dedicated to introducing Lie's transformation theory to English-speaking students and researchers.
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