---
product_id: 3180405
title: "The Calculus Lifesaver: All the Tools You Need to Excel at Calculus (Princeton Lifesaver Study Guides)"
price: "157.33 DT"
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---

# The Calculus Lifesaver: All the Tools You Need to Excel at Calculus (Princeton Lifesaver Study Guides)

**Price:** 157.33 DT
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- **What is this?** The Calculus Lifesaver: All the Tools You Need to Excel at Calculus (Princeton Lifesaver Study Guides)
- **How much does it cost?** 157.33 DT with free shipping
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## Description

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

Review: A thoughtful and friendly overview of Calculus 1 and 2 - Last fall my son enrolled in Calculus 1 as a college freshman. I thought that, having taken calculus 40 years ago, it might be an interesting time for me to try a refresher -- so we agreed to put our heads together now and then. Since the textbook (Stewart) was none too friendly, we soon started assembling background materials to help us along. We bought several books, including this one; "How to Ace Calculus: The Streetwise Guide" by Adams, Thompson and Hass; and "The Humongous Book of Calculus Problems" by Kelley. In addition, we picked up a copy of "The Calculus 1 & 2 Tutor" DVD by Jason Gibson, and checked out several of the many tutorials on YouTube. Now that the semester is over, I would say that Banner's book was the most thorough yet friendly treatment of calculus. If you are motivated to learn calculus really well, and have the time to put into it, his book does a vastly better job than most textbooks in explaining the material in an accessible way. At more than 700 pages, however, it is not a quick read. If you're looking for quick help here and there on tougher topics, "How to Ace Calculus" or the YouTube videos provide a faster fix. A number of other reviews here mention that the book does not provide much in the way of practice problems, and recommend "The Humongous Book" for that. To be honest we felt we were exposed to plenty of problems in my son's course textbook, the various videos, etc., and did not end up consulting "Humongous" extensively during the semester. But this may be an area in which everyone's mileage may vary. Also, although we like Banner's book quite a lot, we found the technical quality of his online videos made them hard to watch. They were basically produced by setting up a camera in a classroom, and both the video and audio quality were problematic. Even so, as mentioned Banner's book is the most comprehensive treatment of calculus we found at a reasonably accessible level -- and if you are committed to mastering the subject, I'd recommend it highly. I wish I had something like it when I went through calculus for the first time four decades ago (in a pre-calculator era, slide rules and printed log tables in hand ...)
Review: This is a Very Good and Interesting Book - I purchased The Calculus Lifesaver book written by Adrian Banner when I discovered that my knowledge of Calculus was beginning to get a bit rusty and I wanted to clear up some of the mathematical cob webs in my head. I read Mr. Banner's book cover to cover in a little less than 4 weeks. The book has 30 chapters consisting of 702 pages and has 46 pages of appendices. Although the book illustrates each mathematical subject area with a great many solved problems, it does not contain any problem sets that are specifically intended for the reader to solve. This could be a draw back for some and it probably prevents this book from being used as a class room text, but for my purposes it worked well. Mr. Banner gives an in depth treatment of all the standard stuff like limits, differentiation, integration, Taylor and MacLaurin series, and he gives an overview of topics such as parametric equations, complex numbers, arc lengths, surface areas, and volumes and differential equations. All in all I feel that this book was well written, easy to read, and interesting. Mr. Banner's approach is quite different from the classical, almost stuff shirt approach that was typical of the math books that I used way back in my under grad days. He does interject some colorful language from time to time which initially surprised me, and then later on amused me, and always kept me interested. This is an excellent book for those students looking for a second source to review for an up coming midterm exam. Treatment of specific subject areas is clear, concise and can be read and understood in short order. This is an excellent book for people like my self who need to quickly come back up to speed on subjects that may have become a bit clouded over the years. This also is an excellent book for people who are learning Calculus for the first time. If you are in the process of learning Calculus the key to really understanding the subject is to work countless problems until the mechanics, concepts, and procedures are firmly ingrained in your mind. For these people I strongly recommend a companion text called "The Humongous Book of Calculus Problems" by W. Michael Kelly. A serious student could learn the concepts and procedures from Mr. Banner's book and then work many of the one thousand problems provided in Mr. Kelly's book to gain proficiency. After having read Mr. Banner's book, would I purchase this book again? The answer is a definite yes. The money was well spent. I am anxiously awaiting to see some follow on books from Mr. Banner treating the subjects of Differential Equations and Complex Variables.

## Technical Specifications

| Specification | Value |
|---------------|-------|
| Best Sellers Rank | #154,737 in Books ( See Top 100 in Books ) #70 in Calculus (Books) #99 in Statistics (Books) |
| Customer Reviews | 4.6 out of 5 stars 530 Reviews |

## Images

![The Calculus Lifesaver: All the Tools You Need to Excel at Calculus (Princeton Lifesaver Study Guides) - Image 1](https://m.media-amazon.com/images/I/61vX2Y5kI+L.jpg)

## Customer Reviews

### ⭐⭐⭐⭐⭐ A thoughtful and friendly overview of Calculus 1 and 2
*by F***K on March 2, 2014*

Last fall my son enrolled in Calculus 1 as a college freshman. I thought that, having taken calculus 40 years ago, it might be an interesting time for me to try a refresher -- so we agreed to put our heads together now and then. Since the textbook (Stewart) was none too friendly, we soon started assembling background materials to help us along. We bought several books, including this one; "How to Ace Calculus: The Streetwise Guide" by Adams, Thompson and Hass; and "The Humongous Book of Calculus Problems" by Kelley. In addition, we picked up a copy of "The Calculus 1 & 2 Tutor" DVD by Jason Gibson, and checked out several of the many tutorials on YouTube. Now that the semester is over, I would say that Banner's book was the most thorough yet friendly treatment of calculus. If you are motivated to learn calculus really well, and have the time to put into it, his book does a vastly better job than most textbooks in explaining the material in an accessible way. At more than 700 pages, however, it is not a quick read. If you're looking for quick help here and there on tougher topics, "How to Ace Calculus" or the YouTube videos provide a faster fix. A number of other reviews here mention that the book does not provide much in the way of practice problems, and recommend "The Humongous Book" for that. To be honest we felt we were exposed to plenty of problems in my son's course textbook, the various videos, etc., and did not end up consulting "Humongous" extensively during the semester. But this may be an area in which everyone's mileage may vary. Also, although we like Banner's book quite a lot, we found the technical quality of his online videos made them hard to watch. They were basically produced by setting up a camera in a classroom, and both the video and audio quality were problematic. Even so, as mentioned Banner's book is the most comprehensive treatment of calculus we found at a reasonably accessible level -- and if you are committed to mastering the subject, I'd recommend it highly. I wish I had something like it when I went through calculus for the first time four decades ago (in a pre-calculator era, slide rules and printed log tables in hand ...)

### ⭐⭐⭐⭐⭐ This is a Very Good and Interesting Book
*by R***N on January 22, 2008*

I purchased The Calculus Lifesaver book written by Adrian Banner when I discovered that my knowledge of Calculus was beginning to get a bit rusty and I wanted to clear up some of the mathematical cob webs in my head. I read Mr. Banner's book cover to cover in a little less than 4 weeks. The book has 30 chapters consisting of 702 pages and has 46 pages of appendices. Although the book illustrates each mathematical subject area with a great many solved problems, it does not contain any problem sets that are specifically intended for the reader to solve. This could be a draw back for some and it probably prevents this book from being used as a class room text, but for my purposes it worked well. Mr. Banner gives an in depth treatment of all the standard stuff like limits, differentiation, integration, Taylor and MacLaurin series, and he gives an overview of topics such as parametric equations, complex numbers, arc lengths, surface areas, and volumes and differential equations. All in all I feel that this book was well written, easy to read, and interesting. Mr. Banner's approach is quite different from the classical, almost stuff shirt approach that was typical of the math books that I used way back in my under grad days. He does interject some colorful language from time to time which initially surprised me, and then later on amused me, and always kept me interested. This is an excellent book for those students looking for a second source to review for an up coming midterm exam. Treatment of specific subject areas is clear, concise and can be read and understood in short order. This is an excellent book for people like my self who need to quickly come back up to speed on subjects that may have become a bit clouded over the years. This also is an excellent book for people who are learning Calculus for the first time. If you are in the process of learning Calculus the key to really understanding the subject is to work countless problems until the mechanics, concepts, and procedures are firmly ingrained in your mind. For these people I strongly recommend a companion text called "The Humongous Book of Calculus Problems" by W. Michael Kelly. A serious student could learn the concepts and procedures from Mr. Banner's book and then work many of the one thousand problems provided in Mr. Kelly's book to gain proficiency. After having read Mr. Banner's book, would I purchase this book again? The answer is a definite yes. The money was well spent. I am anxiously awaiting to see some follow on books from Mr. Banner treating the subjects of Differential Equations and Complex Variables.

### ⭐⭐⭐⭐⭐ Straight dope on Calculus from a master!
*by A***5 on December 28, 2014*

I bought this book in 2012 when I found Adrian Banner's Calculus I&II videos online. At that time I just did the videos as a refresher for my rusty calculus (being out of college for > 10 years). I was hooked by his informal yet highly enjoyable discourses, and found I was learning/refreshing a lot of material in every video (each of which is ~ 2 hrs long!). Eventually I bought the book and finished reading it after I had completed the videos. I have since then picked up the book often and found reading chapters at random to refresh some concepts. In other words, if I am conveying that this is one of my references for college calculus concepts then that is quite correct. I finally decided to post a review to convey how this book helps me more than my other undergrad calculus textbooks. Basically Adrian Banner focuses on conveying the relevant concepts in a (very) informal, conversational style. He does not provide too many proofs in the main text though the main ones are provided in the appendix (e.g., limits, Extreme Value Theorem, Rolle's Theorem, Simpson's Rule etc.). The thing is that Adrian gives you the straight dope right off the bat without beating around the bush. Its like Cliff's Notes on steroids, once you go through the whole book I believe you will have a great grasp of the concepts of freshman undergraduate calculus (there is no coverage of multivariable or vector calculus and only a single chapter on differential equations). For me the outstanding feature is that I fail to point to anything in the book that is superfluous - ALL the material is relevant and if you do buy the book make sure you cover every page of the 30 chapters and 11 appendices. The only reason you will be less than satisfied is that there are no problem sets in the book. There are several examples provided, but you certainly are left feeling disappointed for the lack of good problem sets. But as other reviewers have pointed out, this can be remedied by for e.g., picking up Schaum's 3000 solved calculus problems. This book will give you the background necessary to solve those problems! Now if only Adrian Banner would publish books to accompany his multivariable calculus III and linear algebra videos!

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