Short Calculus The Original Edition of A First Course in Calculus [Paperback]

From the reviews This is a reprint of the original edition of Langs 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

This is a reprint of A First Course in Calculus, which has gone through five editions since the early sixties. It covers all the topics traditionally taught in the first-year calculus sequence in a brief and elementary fashion. As sociological and educational conditions have evolved in various ways over the past four decades, it has been found worthwhile to make the original edition available again. The audience consists of those taking the first calculus course, in high school or college. The approach is the one which was successful decades ago, involving clarity, and adjusted to a time when the students? background was not as substantial as it might be. We are now back to those times, so it?s time to start over again. There are no epsilon-deltas, but this does not imply that the book is not rigorous. Lang learned this attitude from Emil Artin, around 1950.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

From the reviews:

...Lang's present book is a source of interesting ideas and brilliant techniques.
Acta Scientarium Mathematicarum

... It is an admirable straightforward introductlӌ