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Kline provides realistic examples and focus attention on scientific and practical uses of calculus: eg motion down a inclined plain, projectiles, etc. There are lots of problems in each section. ONly complaint: the answers are a little sparse at times. Generally the problems are robust and a little tricky know and then (this is good! Makes you interpret and apply...not just apply). The literacy components are quite strong in questions. Kline has an excellent teaching pedagogy!
The style of writing is excellent, familiar and warm. Kline write like he is like that smart, cool, friendly lecturer we found once at university and longed for the rest of the time we were there. He clearly loves what he is teaching and wants you to succeed and tries to help you to do so. His language is not so stilted as most mathematics books seem to be; humor creeps in here and there which is cool because it makes you feel welcome inside the book, not just a nobody to whom the author is indifferent.
The book is arranged in a typical sequence (you can look inside the book and see that). And is the best value for money calculus book I have EVER seen: it is VERY good. 960 pages of quality. If you want a book of calculus problems buy Schaum's...but if you want to understand calculus...buy this! of course this an introductory calculus book so there is no vector calculus, but it does get multivariate!
In all: well worth the 5 stars and the cool price! SHame more books are not like this one.
I'm only on page fifty or so of the book, and it is very good so far. It's rather challenging (read: hard). However, considering that it is actually making you apply what you're learning to actual concerns of real life, the sweat on the brow is a good thing. (I'm just doing this for fun--it's been 14 years since I've had a math class, so hard for me might be easy for the young laddies and lassies coming straight out of trig.)
If you've had physics, you probably remember having had to memorize lots of kinematic equations. In this book, Kline actually walks you through the process of _making_ the equations by using Calculus--pretty nifty, and something that is lacking in most high schools: math and physics hand in hand.
UPDATE - SOLUTIONS MANUAL
=========================
A number of people have contacted me trying to obtain the Solutions Manual to this book. I've posted a copy on my website because it is freely distributable to users of the textbook. However, Google web search has not picked it up for some reason. However, if you go to Google Books, in my review of the Solutions Manual, you will find a link to my website so you can download it. In Google Books, search on the ISBN of the Solutions Manual, ISBN-10: 0471023965 or ISBN-13: 9780471023968, in order to find it.
You can download it here, if Amazon lets the URL stand in this review: [...]
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