This book explores the standard problem-solving techniques of multivariable mathematics — integrating vector algebra ideas with multivariable calculus and differential equations. KEY TOPICS: Unique coverage including, the introduction of vector geometry and matrix algrebra, the early introduction of the gradient vector as the key to differentiability, optional numerical methods. MARKET: For any reader interested in learning more about this discipline.
Table of contents
2. Equations and Matrices.
3. Vector Spaces and Linearity.
6. Vector Differential Calculus.
7. Multiple Integration.
8. Integrals and Derivatives on Curves.
9. Vector Field Theory.
10. First Order Differential Equations.
11. Second-Order Equations.
12. Introduction to Systems.
13. Matrix Methods.
14. Infinite Series.
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