Infinitesimal Calculus This book had been first

This book had been first published fifty years earlier and remarkably still found readers in 1985

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Not only are Lang's collections generally considered to contain the best English versions of the standard stories

Infinitesimal Calculus This book had been firstRigorous 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.