TY - BOOK AU - Lang, Serge TI - A first course in calculus SN - 9780387962016 U1 - 515 PY - 1986/// CY - New York PB - Springer KW - Calculus KW - Mathematics N1 - Part I. Review of basic material -- 1. Numbers and functions -- 2. Graphs and curves -- Part II. Differentiation and elementary functions -- 3. The derivative -- 4. Sine and Cosine -- 5. The mean valule theorem -- 6. Sketching curves -- 7. Inverse functions -- 8. Exponents and logarithms -- Part III. Integration -- 9. Integration -- 10. Properties of the integral -- 11. Techniques of integration -- 12. Applications of integration -- Part IV. Taylor's formula and series -- 13. Taylor's formula -- 14. Series -- Part V. Functions of several variables -- 15. Vectors -- 16. Differentiation of vectors -- 17. Functions of several variables -- 18. The chain rule and the gradient ER -