Ordinary Differential Equations
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Over the past forty years since its first publication, this textbook has become a classic. It places a strong emphasis on the geometric interpretation of fundamental concepts. The book highlights the close relationship between the subject matter and its applications, particularly in mechanics. Rather than focusing on formulas, it emphasizes the geometric meaning of key definitions and theorems. The author introduces readers to concepts such as manifolds, one-parameter groups of diffeomorphisms, tangent spaces, and fiber bundles. Examples from mechanics include the analysis of phase portraits of conservative systems with one degree of freedom, the theory of small oscillations, and parametric resonance. This book is intended for undergraduate and graduate students studying mathematics at universities and advanced programs, providing a comprehensive and insightful approach to the subject.
LF/745338730/R
Data sheet
- Name of the Author
- Арнольд В.И.
- Language
- Russian
- Series
- Классические направления в математике
- ISBN
- 9785443920078
- Release date
- 2014
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Over the past forty years since its first publication, this textbook has become a classic. It places a strong emphasis on the geometric interpretation of fun...