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The Calculus Lifesaver: All the Tools You Need to Excel at Calculus (Princeton Lifesaver Study Guides) | 
 enlarge | Author: Adrian Banner
Publisher: Princeton University Press
Category: Book
List Price: $24.95
Buy New: $15.65
You Save: $9.30 (37%)
New (33) Used (14) from $13.93
Rating:  13 reviews
Sales Rank: 20774
Media: Paperback
Edition: 1
Pages: 752
Number Of Items: 1
Shipping Weight (lbs): 3.3
Dimensions (in): 9.9 x 6.9 x 1.7
ISBN: 0691130884
Dewey Decimal Number: 515
EAN: 9780691130880
Publication Date: March 5, 2007
Availability: Usually ships in 1-2 business days
Shipping: International shipping available
Condition: Brand New, Perfect Condition, Please allow 4-14 business days for delivery. 100% Money Back Guarantee, Over 1,000,000 customers served.
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Product 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--will be available through the book's Web site at www.calclifesaver.com
- 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
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| Customer Reviews: Read 8 more reviews...
This is a Very Good and Interesting Book January 22, 2008
Richard N (United States)
11 out of 11 found this review helpful
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.
Very nice and thorough coverage of the subject August 6, 2007
Ognen Duzlevski (West Palm Beach, FL USA)
17 out of 17 found this review helpful
Many calculus textbooks are dry and teach calculus without giving the background motivation of why certain concepts have been discovered in a certain order in time and also how these concepts all relate to each other. Dr. Banner has done a great job at shedding light on the topic of calculus as it should be seen by anyone who really wants to understand the subject and walk away confident in their knowledge.
5 Stars. This book finally makes calculus comprehensible. January 18, 2008
JMS
15 out of 15 found this review helpful
I have reviewed dozens of calculus textbooks, and all are noble attempts at communicating something that is problematic for many students in simple-enough terms to be comprehensible. But most calculus textbooks books fail in their effort at simple communication. This book succeeds in that effort marvelously. The examples are worked through thoroughly so that when the reader has finished a section, he actually understands it. The concept of a function is explained as a sort of "machine" that transforms an input into an output. The concept of a limit is again clearly explained more simply and straightforwardly than I have seen it explained anywhere. The book is nevertheless non-trivial; it is solid and certainly not a "Calculus for Dummies" book. It is an easily understood but substantive introduction to calculus. If you've tried calculus several times using other books and in the end given up because the authors inevitably lost you at some unmarked turn in the road, get this book and give it a one more try. I think you'll find you are impressed with the resulting clarity of your understanding. Adrian Banner is gifted at explaining calculus.
Mathmaster February 23, 2008
Maurice Shields (Palmdale, CA USA)
4 out of 4 found this review helpful
An outstanding job by the author in explaining the complex subject of Calculus in a simple step by step manner. The narration and graphic detail is impressive. Students of the subject need this book as a supplement to any course textbook because it does a much better job of explaining everything in detail. Many Calculus textbooks are notorious for leaving out details thus leaving many students confused and frustrated. This book is really a gem and deserves the best rating available - five stars.
Good for Single Variable Calculus May 27, 2008
John Cho
2 out of 2 found this review helpful
This is the best book I found for single variable Calculus. It should cover all or most of the topics from what is offered at school as Calculus 1 and Calculus 2. However, the book does not offer any or much information about Calculus 3, or Multivariable Calculus. However, most calculus help books do not offer much information about multivariable calculus. In addition, this book just came out. Maybe the author is working on or will work on that talks about multivariable caclulus. This book is a definite buy, however. Buy it, it covers all or most of single variable Calculus and is written in very understandable words. I was just writing this review to point out my problems with trying to find a multivariable book.
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