图书简介
Cameos for Calculus collects fifty short visual supplements designed to benefit teachers and students of the first-year calculus course. These range from mainstream topics, such as the derivative and combinatorial formulas used to compute Riemann sums, to such accessible, yet less frequently encountered, material as the Cauchy–Schwarz inequality and the Euler–Mascheroni constant.
Preface; Part I. Limits and Differentiation: 1. The limit of (sin t)/t; 2. Approximating π with the limit of (sin t)/t; 3. Visualizing the derivative; 4. The product rule; 5. The quotient rule; 6. The chain rule; 7. The derivative of the sine; 8. The derivative of the arctangent; 9. The derivative of the arcsine; 10. Means and the mean value theorem; 11. Tangent line inequalities; 12. A geometric illustration of the limit for e; 13. Which is larger, eπ or πe? ab or ba?; 14. Derivatives of area and volume; 15. Means and optimization; Part II. Integration: 16. Combinatorial identities for Riemann sums; 17. Summation by parts; 18. Integration by parts; 19. The world’s sneakiest substitution; 20. Symmetry and integration; 21. Napier’s inequality and the limit for e; 22. The nth root of n? And another limit for e; 23. Does shell volume equal disk volume?; 24. Solids of revolution and the Cauchy–Schwarz inequality; 25. The midpoint rule is better than the trapezoidal rule; 26. Can the midpoint rule be improved?; 27. Why is Simpson’s rule exact for cubics?; 28. Approximating π with integration; 29. The Hermite–Hadamard inequality; 30. Polar area and Cartesian area; 31. Polar area as a source of antiderivatives; 32. The prismoidal formula; Part III. Infinite Series: 33. The geometry of geometric series; 34. Geometric differentiation of geometric series; 35. Illustrating a telescoping series; 36. Illustrating applications of the monotone sequence theorem; 37. The harmonic series and the Euler–Mascheroni constant; 38. The alternating harmonic series; 39. The alternating series test; 40. Approximating π with Maclaurin series; Part IV. Additional Topics: 41. The hyperbolic functions I: definitions; 42. The hyperbolic functions II: are they circular?; 43. The conic sections; 44. The conic sections revisited; 45. The AM-GM inequality for π positive numbers; Part V. Appendix: Some Precalculus Topics: 46. Are all parabolas similar?; 47. Basic trigonometric identities; 48. The addition formulas for the sine and cosine; 49. The double angle formulas; 50. Completing the square; Solutions to the exercises; References; Index; About the author.
Trade Policy 买家须知
- 关于产品：
- ● 正版保障：本网站隶属于中国国际图书贸易集团公司，确保所有图书都是100%正版。
- ● 环保纸张：进口图书大多使用的都是环保轻型张，颜色偏黄，重量比较轻。
- ● 毛边版：即书翻页的地方，故意做成了参差不齐的样子，一般为精装版，更具收藏价值。
关于退换货：- 由于预订产品的特殊性，采购订单正式发订后，买方不得无故取消全部或部分产品的订购。
- 由于进口图书的特殊性，发生以下情况的，请直接拒收货物，由快递返回：
- ● 外包装破损/发错货/少发货/图书外观破损/图书配件不全（例如：光盘等）
并请在工作日通过电话400-008-1110联系我们。
- 签收后，如发生以下情况，请在签收后的5个工作日内联系客服办理退换货：
- ● 缺页/错页/错印/脱线
关于发货时间：- 一般情况下：
- ●【现货】 下单后48小时内由北京（库房）发出快递。
- ●【预订】【预售】下单后国外发货，到货时间预计5-8周左右，店铺默认中通快递，如需顺丰快递邮费到付。
- ● 需要开具发票的客户，发货时间可能在上述基础上再延后1-2个工作日（紧急发票需求，请联系010-68433105/3213）；
- ● 如遇其他特殊原因，对发货时间有影响的，我们会第一时间在网站公告，敬请留意。
关于到货时间：- 由于进口图书入境入库后，都是委托第三方快递发货，所以我们只能保证在规定时间内发出，但无法为您保证确切的到货时间。
- ● 主要城市一般2-4天
- ● 偏远地区一般4-7天
关于接听咨询电话的时间：- 010-68433105/3213正常接听咨询电话的时间为：周一至周五上午8：30～下午5：00，周六、日及法定节假日休息，将无法接听来电，敬请谅解。
- 其它时间您也可以通过邮件联系我们：customer@readgo.cn,工作日会优先处理。
关于快递：- ● 已付款订单：主要由中通、宅急送负责派送，订单进度查询请拨打010-68433105/3213。
本书暂无推荐
本书暂无推荐
