This is a reprint of the original edition of Lang's classic book "A First Course in Calculus". It covers all of the topics traditionally taught in the first-year calculus sequence in a brief and elementary fashion. The audience consists of those taking the first calculus course, in high school or college. "..Lang's present book is a source of interesting ideas and brilliant techniques." Acta Scientiarum Mathematicarum. "..It is an admirable straightforward introduction to calculus." Mathematika.

Klappentext

From the reviews "This is a reprint of the original edition of Lang's 'A First Course in Calculus', which was first published in 1964....The treatment is 'as rigorous as any mathematician would wish it'....[The exercises] are refreshingly simply stated, without any extraneous verbiage, and at times quite challenging....There are answers to all the exercises set and some supplementary problems on each topic to tax even the most able." --Mathematical Gazette

Inhalt

Numbers and Functions * Graphs and Curves * The Derivative * Sine and Cosine * The Mean Value Theorem * Sketching Curves * Inverse Functions * Exponents and Logarithms * Integration * Properties of the Integral * Techniques of Integration * Some Substantial Exercises * Applications of Integration * Taylor's Formula * Series * Appendix 1. Epsilon and Delta * Appendix 2. Physics and Mathematics * Answers * Index