What’s the Best Trivia Book?: Over 3,000 Questions in 12 Categories (What’s the Best Trivia?)

本书是作者多年来给普林斯顿大学本科一年级学生开设微积分的每周复习课。本书专注于讲述解题技巧,目的是帮助读者学习一元微积分的主要概念。深入处理一些基本内容,还复习一些主题。本书不仅可以作为参考书,也可以作为教材,定会成为任何一位需要微积分知识人学习一元微积分的非常好的指导书。编辑推荐对于大多数学生来说,微积分或许是他们曾经上过的倍感迷茫且很受挫折的一门课程了。本书不仅让学生们能有效地学习微积分,更重要的是提供了战胜微积分的可靠工具。本书源于风靡美国普林斯顿大学的阿德里安·班纳教授的微积分复习课程,他激励了一些考试前想获得成功但考试结果却平平的学生。作者班纳是美国普林斯顿大学的知名数学教授,并担任新技术研究中心主任。他的授课风格非正式、有吸引力并完全不强求,甚至在不失其详尽性的基础上又增添了许多娱乐性,而且他不会跳过讨论一个问题的任何步骤。这本经典著作将易用性与可读性以及内容的深度与数学的严谨完美地结合在一起。对于每一个想要掌握微积分的学生来说,本书都是极好的资源。当然,非数学专业的学生也将大大受益。名人推荐本书语言平实,亲和力十足,是广大微积分学习者的良师益友。班纳的书写得非常到位,而且非常吸引读者。 ——Gerald B.Folland,《高等微积分》作者媒体推荐对于学习微积分有困难的同学来说,这是一本难能可贵的参考书。——《数学教师》杂志班纳的写作风格引人入胜,一点儿也不古板或令人生畏,他努力阐释解题的所有步骤。因其独到的讲解,本书成为了广大微积分教师的“得力助手”。——《美国数学月刊》网络版本书语言平实,亲和力十足,是广大微积分学习者的良师益友。班纳的书写得非常到位,而且非常吸引读者。——Gerald B. Folland,《高等微积分》作者作者简介阿德里安·班纳(Adrian Banner) 澳大利亚新南威尔士大学数学学士及硕士,普里斯顿大学数学博士。2002年起任职于INTECH公司,现为INTECH公司首席执行官兼首席投资官。同时,他在普林斯顿大学教学数学系任兼职教师。 For many students, calculus can be the most mystifying and frustrating course they will ever take. The Calculus Lifesaver provides students with the essential tools they need not only to learn calculus, but to excel at it. All of the material in this user-friendly study guide has been proven to get results. The book arose from Adrian Banner’s popular calculus review course at Princeton University, which he developed especially for students who are motivated to earn A’s but get only average grades on exams. The complete course will be available for free on the Web in a series of videotaped lectures. This study guide works as a supplement to any single-variable calculus course or textbook. Coupled with a selection of exercises, the book can also be used as a textbook in its own right. The style is informal, non-intimidating, and even entertaining, without sacrificing comprehensiveness. The author elaborates standard course material with scores of detailed examples that treat the reader to an “inner monologue” — the train of thought students should be following in order to solve the problem — providing the necessary reasoning as well as the solution. The book’s emphasis is on building problem-solving skills. Examples range from easy to difficult and illustrate the in-depth presentation of theory. The Calculus Lifesaver combines ease of use and readability with the depth of content and mathematical rigor of the best calculus textbooks. It is an indispensable volume for any student seeking to master calculus. - Serves as a companion to any single-variable calculus textbook - Informal, entertaining, and not intimidating - Informative videos that follow the book — a full forty-eight hours of Banner’s Princeton calculus-review course — is available at Adrian Banner lectures - More than 475 examples (ranging from easy to hard) provide step-by-step reasoning - Theorems and methods justified and connections made to actual practice - Difficult topics such as improper integrals and infinite series covered in detail - Tried and tested by students taking freshman calculus