Book:Walter Ledermann/Multiple Integrals

Walter Ledermann: Multiple Integrals

Published $\text {1966}$, Routledge & Kegan Paul

Subject Matter

• Integral Calculus

Contents

Preface

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. Green's Theorem in two dimensions

5. Change of variables

6. Transformations of double integrals

7. Improper integrals

8. Volumes

Exercises

3. Surface Integrals

1. Preliminary remarks about surfaces

2. The area of a surface

3. Surface integrals

Exercises

4. Volume Integrals

1. Definition of a volume integral

2. Reduction to repeated integral

3. Gauss's Theorem (divergence theorem)

4. Change of variables

5. Stokes's Theorem

Exercises

Appendix

Solutions to Exercises

Index

Next

Source work progress

• 1966: Walter Ledermann: Multiple Integrals ... (next): Chapter $1$: Line Integrals: $1$. Preliminary Remarks about Curves