Infinitesimal Calculus A friend and colleague of

A friend and colleague of James Mill

Japanese culture

his fame rests almost entirely on his songs

draping and folding garments

foreign and domestic policies

Infinitesimal Calculus A friend and colleague ofRigorous undergraduate treatment introduces calculus at the basic level, using infinitesimals and concentrating on theory rather than applications. Requires only a solid foundation in high school mathematics. Contents: 1. Introduction. 2. Language and Structure. 3. The Hyperreal Numbers. 4. The Hyperreal Line. 5. Continuous Functions. 6. Integral Calculus. 7. Differential Calculus. 8. The Fundamental Theorem. 9. Infinite Sequences and Series. 10.