Calculus of Variations

Table of Contents

Introduction
1. Integrals of the first order: maxima and minima for special weak variations: Euler test, Legendre test, Jacobi test
2. Integrals of the first order: general weak variations: the method of Weierstrass
3. Integrals involving derivatives of the second order: special weak variations, by the method of Jacobi
general weak variations, by the method of Weierstrass
4. Integrals involving two dependent variables and their first derivatives: special weak variations
5. Integrals involving two dependent variables and their first derivatives: general weak variations
6. Integrals with two dependent variables and derivatives of the second order: mainly special weak variations
7. Ordinary integrals under strong variations, and the Weierstrass test: solid of least resistance: action
8. Relative maxima and minima of single integrals: isoperimetrical problems
9. Double integrals with derivatives of the first order: weak variations: minimal surfaces
10. Strong variations and the Weierstrass test, for double integrals involving first derivatives: isoperimetrical problems
11. Double integrals, with derivatives of the second order: weak variations
12. Triple integrals with first derivatives
Index.

Look Inside

• Copyright Information Page (135 KB)
• Marketing Excerpt (1163 KB)
• Table of Contents (864 KB)
• Front Matter (1476 KB)
• Index (1155 KB)