First published in 1938.

1. Numbers and variables
2. Functions and their diagrammatic representation
3. Elementary analytical geometry
4. Limits and continuity of functions
5. Functions and diagrams in economic theory
6. Derivatives and their interpretation
7. The technique of derivation
8. Applications of derivatives
9. Exponential and logarithmic functions
10. Logarithmic derivation
11. Functions of two or more variables
12. Partial derivatives and their applications
13. Differentials and differentiation
14. Problems of maximum and minimum values
15. Integrals of functions of one variable
16. Differentials equations
17. Expansions, taylor’s series and higher order differentials
18. Determinants, linear equations and quadratic forms
19. Further problems of maximum and minimum values
20. Some problems in the calculus of variations