【普林斯顿数学三剑客】普林斯顿微积分读本+概率论读+数学分析读本 全套3册 英文原版 

The Calculus Lifesaver The Calculus Lifesaver The Real Analysis Lifesaver Banner Adrian Steven J. Miller Raffi Grinberg

基本信息

Format Paperback | 1704 pages

Dimensions 178 x 254 x 98.04mm | 3487g

Publication date 25 Mar 2007

Publisher Princeton University Press

Language English

ISBN10 0691130884

ISBN13 9780691130880

页面参数仅供参考，具体以实物为准

目录

1. 9780691130880 普林斯顿微积分读本 The Calculus Lifesaver: All the Tools You Need to Excel at Calculus (Princeton Lifesaver Study Guides)

2. 9780691149554 普林斯顿概率读本 The Probability Lifesaver : All the Tools You Need to Understand Chance (Princeton Lifesaver Study Guides)

3. 9780691172934 普林斯顿数学分析读本 The Real Analysis Lifesaver : All the Tools You Need to Understand Proofs

书籍简介

1. 本书阐述了求解微积分的技巧, 详细讲解了微积分基础、极限、连续、微分、导数的应用、积分、无穷级数、泰勒级数与幂级数等内容，旨在教会读者如何思考问题从而找到解题 所需的知识点, 着重训练大家自己解答问题的能力.

本书适用于大学低年级学生、高中高年级学生、想学习微积分的数学爱好者以及广大数 学教师. 本书既可作为教材、习题集, 也可作为学习指南, 同时还有利于教师备课.

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.

2. 本书讲解概率论的基础内容, 包括组合分析、概率论公理、条件概率、离散型随机变量、连续型随机变量、随机变量的联合分布、期望的性质、极限定理和模拟等, 内容丰富, 通俗易懂, 并配有丰富的例子和大量习题, 涉及物理学、生物学、化学、遗传学、博弈论、经济学等多方面的应用，极具启发性。

For students learning probability, its numerous applications, techniques, and methods can seem intimidating and overwhelming. That's where The Probability Lifesaver steps in. Designed to serve as a complete stand-alone introduction to the subject or as a supplement for a course, this accessible and user-friendly study guide helps students comfortably navigate probability's terrain and achieve positive results.

The Probability Lifesaver is based on a successful course that Steven Miller has taught at Brown University, Mount Holyoke College, and Williams College. With a relaxed and informal style, Miller presents the math with thorough reviews of prerequisite materials, worked-out problems of varying difficulty, and proofs. He explores a topic first to build intuition, and only after that does he dive into technical details. Coverage of topics is comprehensive, and materials are repeated for reinforcement—both in the guide and on the book's website. An appendix goes over proof techniques, and video lectures of the course are available online. Students using this book should have some familiarity with algebra and precalculus.

3. 本书是《普林斯顿××读本》系列图书的第二本，该套书的论述风格友好、平易近人，通过作者与读者之间的互动对话和相关示例非常清晰地阐明了数学概念，提供了命题和定量逻辑方面的知识，可以使读者精通自己的数学思路。本书讲解了学习实分析的基础内容，包括基本的数学与逻辑、实数、集合、拓扑、序列等．作者以通俗易懂且略带幽默的口吻讲述了两步式求解方法：首先展示如何回溯到求解问题的关键，之后说明如何严谨规范地写下解题过程。书中还给出了丰富的示例，帮助学生巩固所学知识。

Real analysis is difficult. For most students, in addition to learning new material about real numbers, topology, and sequences, they are also learning to read and write rigorous proofs for the first time. The Real Analysis Lifesaver is an innovative guide that helps students through their first real analysis course while giving them the solid foundation they need for further study in proof-based math. Rather than presenting polished proofs with no explanation of how they were devised, The Real Analysis Lifesaver takes a two-step approach, first showing students how to work backwards to solve the crux of the problem, then showing them how to write it up formally. It takes the time to provide plenty of examples as well as guided "fill in the blanks" exercises to solidify understanding. Newcomers to real analysis can feel like they are drowning in new symbols, concepts, and an entirely new way of thinking about math. Inspired by the popular Calculus Lifesaver, this book is refreshingly straightforward and full of clear explanations, pictures, and humor. It is the lifesaver that every drowning student needs.

* The essential "lifesaver" companion for any course in real analysis* Clear, humorous, and easy-to-read style* Teaches students not just what the proofs are, but how to do them--in more than 40 worked-out examples* Every new definition is accompanied by examples and important clarifications* Features more than 20 "fill in the blanks" exercises to help internalize proof techniques* Tried and tested in the classroom

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。

Adrian Banner is Lecturer in Mathematics at Princeton University and Director of Research at INTECH.

史蒂文·J. 米勒（Steven J. Miller）

美国耶鲁大学数学与物理学学士，普林斯顿大学数学硕士及博士。现任威廉姆斯学院数学教授、Erdős研究所教职研究员，还是美国数学协会和Phi Beta Kappa荣誉学会成员。主要研究方向有数论、线性代数、概率论和统计学。

Steven J. Miller is associate professor of mathematics at Williams College. He is the coauthor of An Invitation to Modern Number Theory (Princeton) and The Mathematics of Encryption: An Elementary Introduction and the editor of Benford's Law: Theory and Applications (Princeton).

拉菲·格林伯格（Raffi Grinberg）是一位企业家和管理顾问。他于2012年以优异的成绩从普林斯顿大学毕业，获得了数学学位。

Raffi Grinberg is an entrepreneur and former management consultant. He graduated with honors from Princeton University with a degree in mathematics in 2012.