The Calculus Tutoring Book 1st Edition by Carol Ash (PDF)

Description

This book fills an educational void by adapting unique classroom-tested techniques that students find most congenial…that strip the shroud of mystery from an esoteric subject…that prepare students for applications of calculus in later courses.

User’s Reviews

Editorial Reviews: About the Author Carol Ash is the author of The Calculus Tutoring Book, published by Wiley. Robert B. Ash as written about, taught, or studied virtually every area of mathematics.

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐This book is the all-time, no-question-about-it mother of all calculus texts. Period.If you have despaired of learning not just the tricks, but also the trade, of calculus, this book will amaze you; you know alot more than you thought, and are alot better at both differential and integral calculus than you may even have hoped. I learned calculus to MY OWN satisfaction using this book. It is immaculately clear in presentation, and not only holds interest but also reader confidence, (very much in an a la Feynman sort of way). I have neither seen nor can even imagine a better primer. Points:1. The book omits all the rubbish about “proofs”; it obviously works, why bother? Only (sadistic?) mathematicians value such hieroglyphics. Strugglers DO NOT want to even SEE it;2. Numerous well-worked examples abound throughout, and all exercises have answers in the back of the book. There are few things in this world more irritating than a (sadistic?) mathematician who puts problems without solutions in a calculus primer;3. This book demystifies the terminolgy and techniques of what, at least in the rudimentary stages, is really not so difficult a topic. The presentation starts at ground zero, (slopes and limits in plain talk), and concludes with a very clear chapter on multiple integrals.You will acquire a lot of familiarity with calculus, and lose a lot of pent-up dread. You will also be able to derive, from first principles at a moment’s notice, the formula for the volume of a sphere – much to the amazement of friends and family.In a former lifetime as a scientist, I couldn’t help noticing how leery many of my peers would become when even the word “calculus” was mentioned. To these, calculus was a dreaded schoolmaster, ready to slap their palms with a pandybat. To me, it was an old and much appreciated friend – a lot more clever and eccentric than (even) me, but generally understandable, if you take the time to bear with him.If you need or want to understand basic calculus, the buck stops here. “Do yourself a favor.”

⭐…book…however, Carol Ash was my professor for a course in differential equations and orthogonal functions at the University of Illinois and I think she was the best teacher I have ever had in ANY subject…if this book reflects her ability to make difficult concepts comprehensible then I have no doubt it is outstanding….a couple of months later and I’m adding a comment I found in a review by “roninsf” of Stewart’s calculus text: “Another excellent book to supplement any calculus text is “The Calculus Tutoring Book” by Carol and Robert Ash. This book covers most of the material covered in a standard text like Stewart’s or Larson’s, but in a much friendlier style. It strips away a lot of the formalism found in a standard text so that what you are left with is a practical guide to doing calculus problems. It is not packaged with a bunch of computer generated graphs and figures. Instead everything is hand sketched. At first this may seem like a drawback, but once you get used to it, you realize how much you can do with your own pencil and paper. In my opinion, this is one of the best supplemental calculus texts you can buy. It would even serve as an excellent review book in its own right.”

⭐Pros:1. Direct to the point tutorial.2. Simple and generally easy to follow examples.3. Good exercises with answers.4. Self contained. Do not need a graphical calculator.5. Covers most colleges Calculus 1, 2, 3 courses.6. Easy language.7. Good supplementary book.8. Simple and easy to understand diagrams.Cons:1. Few instances of presenting material without adequate explanations.2. Need detailed Calculus text to fully understand concepts thoroughly.3. Vector Calculus is not covered.Overall, if you have some exposure to calculus, this is an excellent primer.

⭐This book is a great refresher for all students of math. The explanations are clear and easy to grasp. For the college courses is great supplement to a textbook on calculus.

⭐Sensible explanations of a full range of topics. This can be used as a workbook, but better as an augmentation to a class, to relearn forgotten calculus, or (in combination with a workbook) a great way to teach yourself calculus. Best I’ve seen.

⭐Just over 1/2 way through it. Doing every problem is a great review. I tutor math and physics at the local high school. So far it is very user friendly and a great tool to get back up to speed.

⭐This book is a classic and is a fantastic deal used. It’s a fantastic refresher for those who still need to use Calculus on occasion, but have forgotten “a few things” over time…

⭐a great introduction to a complex subject, great insights as to how to make calculations and integers i recommend it

⭐i can only agree with all the other great comments, if you really want to understand calculus or maybe are struggling then this is definately the book for you,you will not regret it!

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