Multivariable Calculus with MATLAB® With Applications to Geometry and Physics /

• Main Authors: Lipsman, Ronald L. (Author), Rosenberg, Jonathan M. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2017.
• Subjects: Mathematics.; Integral transforms.; Operational calculus.; Calculus of variations.; Calculus of Variations and Optimal Control; Optimization.; Integral Transforms, Operational Calculus.

This comprehensive treatment of multivariable calculus focuses on the numerous tools that MATLAB® brings to the subject, as it presents introductions to geometry, mathematical physics, and kinematics. Covering simple calculations with MATLAB®, relevant plots, integration, and optimization, the numer...

Table of Contents:

• 1. Introduction
• 2. Vectors and Graphics
• 3. Geometry of Curves
• 4. Kinematics
• 5. Directional Derivatives
• 6. Geometry of Surfaces
• 7. Optimization in Several Variables
• 8. Multiple Integrals
• 9. Multidimensional Calculus
• 10. Physical Applications of Vector Calculus
• 11. MATLAB Tips
• Sample Solutions
• Index.