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The Calculus Lifesaver: All the Tools You Need to Excel at Calculus Paperback – Illustrated, 5 June 2007

4.6 4.6 out of 5 stars 477 ratings
Edition: Illustrated

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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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Review

"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"

"Students who are having difficulty in calculus could use it as a resource in addition to their professor and teaching assistant."-- "Mathematics Teacher"

"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

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

Product details

  • Publisher ‏ : ‎ Princeton University Press; Illustrated edition (5 June 2007)
  • Language ‏ : ‎ English
  • Paperback ‏ : ‎ 752 pages
  • ISBN-10 ‏ : ‎ 0691130884
  • ISBN-13 ‏ : ‎ 978-0691130880
  • Dimensions ‏ : ‎ 19.05 x 4.45 x 26.04 cm
  • Customer Reviews:
    4.6 4.6 out of 5 stars 477 ratings

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Adrian D. Banner
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4.6 out of 5 stars
4.6 out of 5
477 global ratings

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VERY BAD QUALITY!!! print smudged everywhere!
1 Star
VERY BAD QUALITY!!! print smudged everywhere!
Looks like it is not a licensed publication. It looks like scanned and printed by a bad quality scanner and printer! many details of a formula is not clear, lots of words are smudged, and block spots (can be seen on bad quality scanned documents) can be seen everywhere!
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Top reviews from Australia

Reviewed in Australia on 2 October 2019
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This book is great. I find it really helpful in understanding Calculus topics.
Reviewed in Australia on 17 January 2024
Verified Purchase
Looks like it is not a licensed publication. It looks like scanned and printed by a bad quality scanner and printer! many details of a formula is not clear, lots of words are smudged, and block spots (can be seen on bad quality scanned documents) can be seen everywhere!
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1.0 out of 5 stars VERY BAD QUALITY!!! print smudged everywhere!
Reviewed in Australia on 17 January 2024
Looks like it is not a licensed publication. It looks like scanned and printed by a bad quality scanner and printer! many details of a formula is not clear, lots of words are smudged, and block spots (can be seen on bad quality scanned documents) can be seen everywhere!
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Amazon Customer
5.0 out of 5 stars The perfect book I would recommend to the new to calculus
Reviewed in the United Kingdom on 13 July 2023
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The best mathematics textbook I have ever read. EVERYTHING in the book is explained super clearly. I would recommend this book to anyone who wishes to master calculus with joy.
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Fernando Canales
5.0 out of 5 stars Great book!
Reviewed in Mexico on 21 May 2020
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This is truly a great book about single variable calculus. I'm currently studying my M. Sc. on Astriphysics and I have never known such an amazing book on calculus like this one. It does no to gonna help you to proof Riemann's hypothesis, but it would definitively help to close every gap about calculus you could have!
adhirley delfini
5.0 out of 5 stars Probably the best start ever
Reviewed in Brazil on 19 October 2019
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One of te best books of calculus I've seen. After it, the next one should be "Calculus" writen by Kline. With both, a strong fundamental foundation will have been built
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RAJESH P
5.0 out of 5 stars A REAL LIFE SAVER
Reviewed in India on 11 August 2017
Verified Purchase
It's really a life saver in calculus. I am reading calculus after 20 years completing my Degree. The author has gone step by step, brushing up basics of functions, trignometry, intro to limits and then how to differentiate, etc. Really good book, worth buying.
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Xavier Constant
5.0 out of 5 stars Unique
Reviewed in France on 2 March 2015
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C'est un ouvrage comme il n'en existe malheureusement pas en français. Si vous chercher à comprendre comment marche le calcul intégral et différentiel (et un peu plus), il vous prend au tout début (quasiment pas de pré-requis, juste l'arithmétique de base), et il vous emmène très loin, pas sans effort, mais par le chemin le plus simple. Et pour les étudiant, il est plus spécialement orienté vers le "problem solving", c'est à dire comment vous débrouiller quand vous êtes en face de ce fichu machin. En plus souvent drôle ou amusant. En résumé, comment faire des trucs sérieux sans se prendre la tête. L'inverse de ce que nous propose trop souvent le système éducatif français. Et il n'est même pas trop cher...
Seul défaut évidemment, il est en anglais (avec l'accent australien si vous allez voir les cours (gratuits) sur internet.
À quand un éditeur français (ou belge, eux en général ils ont ce courage), pour offrir (ce serait vraiment une offrande) une traduction au public francophone?
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