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Differential Equations: Geometric Theory
by Solomon Lefschetz

ISBN: 0486446492
Dover Publications Price: $65.00
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Written by a celebrated mathematician and teacher, this text investigates nonlinear differential equations of the second order. Geared toward upper-level undergraduates and graduate students, it opens with an extensive overview of the classical literature and covers point stability, periodic solutions, structural stability, and much more. 1957 edition.

Table of Contents for Differential Equations: Geometric Theory
1. Preliminary Questions
2. Existence Theorems. General Properties of the Solutions
3. Linear Systems
4. Stability
5. The Differential Equation
6. The Differential Equation
7. The Differential Equation
8. Periodic Systems and Their Stability
9. Two-dimensional Systems: Simple Critical Points. The Index. Behavior at Infinity.
10. Two-dimensional Systems (continued)
11. Differential Equations of the Second Order
12. Oscillations in Systems of the Second Order. Methods of Approximation
Appendix I. Complement on Matrices
Appendix II. Some Topological Complements

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