TY - BOOK AU - Bear,H.S. TI - Understanding calculus SN - 0471433071 (pbk.) U1 - 515 PY - 2003/// CY - Piscataway, N.J., Hoboken, N.J. PB - IEEE Press, Wiley-Interscience KW - Calculus N1 - Author's message to the reader. - Annotated table of contents. - Acknowledgments. - Ch. 1. Lines. - Ch. 2. Parabolas, ellipses, hyperbolas. - Ch. 3. Differentiation. - Ch. 4. Differentiation formulas. - Ch. 5. The chain rule. - Ch. 6. Trigonometric functions. - Ch. 7. Exponential functions and logarithms. - Ch. 8. Inverse functions. - Ch. 9. Derivatives and graphs. - Ch. 10. Following the tangent line. - Ch. 11. The indefinite integral. - Ch. 12. The definite integral. - Ch. 13. Work, volume, and force. - Ch. 14. Parametric equations. - Ch. 15. Change of variable. - Ch. 16. Integrating rational functions. - Ch. 17. Integration by parts. - Ch. 18. Trigonometric integrals. - Ch. 19. Trigonometric substitution. - Ch. 20. Numerical integration. - Ch. 21. Limits at oo; sequences. - Ch. 22. Improper integrals. - Ch. 23. Series. - Ch. 24. Power series. - Ch. 25. Taylor polynomials. - Ch. 26. Taylor series. - Ch. 27. Separable differential equations. - Ch. 28. First-order linear equations. - Ch. 29. Homogeneous second-order linear equations. - Ch. 30. Nonhomogeneous second-order equations. - Ch. 31. Vectors. - Ch. 32. The dot product. - Ch. 33. Lines and planes in spaces. Ch. 34. Surfaces. - Ch. 35. Partial derivatives. - Ch. 36. Tangent plane and differential approximation. - Ch. 37. Chain rules. - Ch. 38. Gradient and directional derivatives. - Ch. 39. Maxima and minima. - Ch. 40. Double integrals. - Ch. 41. Line integrals. - Ch. 42. Green's theorem. - Ch. 43. Exact differentials. - Answers. - Index. - About the author ER -