Author | Ledermann, Walter. author |
---|---|
Title | Multiple Integrals [electronic resource] / by Walter Ledermann |
Imprint | Dordrecht : Springer Netherlands : Imprint: Springer, 1966 |
Connect to | http://dx.doi.org/10.1007/978-94-011-6091-9 |
Descript | VI, 107 p. 1 illus. online resource |
1. Line Integrals -- 1. Preliminary remarks about curves -- 2. Definition of a curvilinear integral -- 3. Area -- Exercises -- 2. Double Integrals -- 1. Definition of a double integral -- 2. Double integrals over a rectangle -- 3. Double integrals over normal regions -- 4. Greenโs Theorem in two dimensions -- 5. Change of variables -- 6. Transformation of double integrals -- 7. Improper integrals -- 8. Volumes -- Exercises -- 3. Surface Integrals -- 1. Preliminary remarks about surfaces -- 2. The area of surface -- 3. Surface integrals -- Exercises -- 4. Volume Integrals -- 1. Definition of a volume integral -- 2. Reduction to repeated integral -- 3. Gaussโs Theorem (divergence theorem) -- 4. Change of variables -- 5. Stokesโs Theorem -- Exercises -- Solutions to Exercises