- Series: Princeton Lifesaver Study Guides
- Paperback: 752 pages
- Publisher: Princeton University Press; 1 edition (March 25, 2007)
- Language: English
- ISBN-10: 0691130884
- ISBN-13: 978-0691130880
- Product Dimensions: 1.8 x 7.5 x 10.2 inches
- Shipping Weight: 3.4 pounds (View shipping rates and policies)
- Average Customer Review: 156 customer reviews
- Amazon Best Sellers Rank: #40,792 in Books (See Top 100 in Books)
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The Calculus Lifesaver: All the Tools You Need to Excel at Calculus (Princeton Lifesaver Study Guides) 1st Edition
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"Banner's style is informal, engaging and distinctly non-intimidating, and he takes pains to not skip any steps in discussing a problem. Because of its unique approach, The Calculus Lifesaver is a welcome addition to the arsenal of calculus teaching aids."--MAA Online
"This rather lengthy book serves as an excellent resource as well as a text for a refresher course in single-variable calculus, and as a study guide for anyone who needs or is required to know basic calculus concepts....Readers will find this book written for them, as calculus is presented in a very casual conversational tone; certainly, students who are not mathematics majors will benefit greatly."--J.T. Zerger, Choice
"Students who are having difficulty in calculus could use it as a resource in addition to their professor and teaching assistant."--Mathematics Teacher
From the Back Cover
"I used Adrian Banner's The Calculus Lifesaver as the sole textbook for an intensive, three-week summer Calculus I course for high-school students. I chose this book for several reasons, among them its conversational expository style, its wealth of worked-out examples, and its price. This book is designed to supplement any standard calculus textbook, thus my students will be able to use it again when they take later calculus courses. The students in my class came from diverse backgrounds, ranging from those who had already seen much of the material to others who were struggling with basic algebra. They all uniformly praised the book for being one of the clearest mathematics texts they have ever read, and because it reviews the required prerequisite material. The numerous worked-out examples are an ideal supplement to the lectures. The only difficulty in using this book as a primary text is the lack of additional exercises in the text. However, there are so many sites and sources for calculus problems that this was not a problem. I would definitely use this book again."--Steven J. Miller, Brown University
"Banner's book is a chatty, user-friendly guide to calculus that will be a useful addition to the resources available to students. Banner does an exceptionally thorough job while maintaining an engaging style."--Gerald B. Folland, author of Advanced Calculus
"This is an engaging read. Each page engenders at least one smile, often a chuckle, occasionally a belly laugh."--Charles R. MacCluer, author of Honors Calculus
"This book is significant. The author's attempt to give an 'inner monologue' into the thought process that is needed to solve calculus problems rather than just providing worked examples is novel and is in line with his purpose of helping the reader get a deeper understanding of calculus. The book is well written and the author's examples are clear and complete."--Thomas Seidenberg, Phillips Exeter Academy
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Top customer reviews
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!
Although the homework sections could use some more practice problems I like how challenging some sections were and word problems are more 'realistic' to actual applications of calculus and this book has them in spades. The author explains things in English which is rare for this subject, and he also has a wit that most students will appreciate.
Now this book is not for the student that simply needs Calc I and just wants to 'get through it'; patrickJMT on YouTube has many excellent methods for memorizing this subject well enough to pass while this book is intended for those that are really interested in understanding the concepts of calculus and I believe it does so nicely.
I would give this book 4.5 stars but that simply is not an option on Amazon :P
The book is a good supplement, but not as a main text. If you combine it with the Dummies 1,001 Calc Problems book, then you have an excellent combination that could definitely work better than a college textbook.