Ebook Free Precalculus mathematics in a nutshell: Geometry, algebra, trigonometry
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Precalculus mathematics in a nutshell: Geometry, algebra, trigonometry
Ebook Free Precalculus mathematics in a nutshell: Geometry, algebra, trigonometry
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Book by Simmons, George S.
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Product details
Paperback: 119 pages
Publisher: W. Kaufmann (1981)
Language: English
ISBN-10: 0865760098
ISBN-13: 978-0865760097
Package Dimensions:
8.8 x 5.9 x 0.5 inches
Shipping Weight: 9.6 ounces
Average Customer Review:
4.6 out of 5 stars
72 customer reviews
Amazon Best Sellers Rank:
#1,628,564 in Books (See Top 100 in Books)
This book is an excellent source for review and reference. It contains three chapters covering the important concepts from middle school and high school geometry, algebra, and trigonometry. It is clear and concise yet surprisingly thorough. The author focuses on giving a conceptual understanding of the topics omitting unnecessary details. His explanations and derivations are clear and understandable with helpful illustrations when necessary. This doesn't necessarily mean that it is all an easy read; many concepts will require a good amount of focus and thinking to properly understand. There are example problems and at the end of each section there are practice problems. At the ends of the geometry and trigonometry chapters are all of the important formulas so they can all be seen together for easy reference. The chapters are completely independent of each other and the sections within each chapter are mostly independent of each other so it is easy and convenient to skip to whatever section is necessary to review or reference without the need to study background material elsewhere in the book.That being said, this book definitely covers the topics "in a nutshell". It would probably not be great for learning precalculus topics for the first time and I don't think that is what the author intended it to be used for. It could be an effective supplement to a class or another more thorough textbook, but alone it would probably be insufficient. The examples and practice problems are sufficient for someone who already has a basic understanding of the concepts, but a new student will almost certainly need more guidance and practice.
I guess it would be difficult to thoroughly learn geometry, algebra, and trigonometry just from this text, but if it's been a few (or more than a few) years since you've studied these subjects, _and_ you were pretty comfortable with them when you first learned them, then this is the perfect book for brush-up. As my children are headed for high school, I decided to review all of precalculus, calculus, and related subjects (e.g. elemetary linear algebra), and this text turned out to be the perfect starting point. The author doesn't suffer fools gladly, but on the other hand he's not trying to prove how smart he is - he instead demonstrates how accessible his topics are. His introduction to the trigonometry section is particularly entertaining (I won't give it away), and darn it if he doesn't follow through on his promise. I can't see this book being outdone in its goals.
So cut and to the point it was kind of a shock, in a good way. A must have for any one interested or who works with mathematics.
"The student will have no difficulty here in separating the wheat from the chaff - for there is no chaff." - George SimmonsIn a mere one hundred pages of blazing clarity, this book covers your entire middle school and high school mathematics, and then some. If you are like me and your teachers never got around to giving you a proof for the volume of a sphere, sulk no more. Instead, grab this book and curl up in a corner., and you will learn not one or two equally brilliant but completely different proofs for these most intriguing of mathematical facts.
What can you say about a math book? It's slim, easy to read, and to the point. I got it to teach my son trigonometry since I haven't used trig in over ten years. Its brevity is excellent for such a difficult topic and it's much better than trying to sift through a bulky textbook with tons of repetitive lessons and exercises.
I am a guy who learned to love mathematics in college, but believe it or not, I was kind of a clown in high school. It is in this way that my pre-calculus background sucked. I got really good grades in my calculus and differential equations classes on college, but the sad thing is that I had to learn pre-calculus in a brute force approach: when trying to understand some topic, if that topic required an important pre-calculus concept (e.g., something as simple as factorization during some techniques for integration) I had to learn that concept on-the-fly. You can imagine then how horribly dispersed were my ideas of pre-calculus.In an effort to correct this I bought Precalculus in a Nutshell, and the results were spectacular. In just a week I was able to finish the book and work on 95% of the problems (there are many!). Simmons goes a long way in removing any useless additional information from his book while keeping the explanations fresh. I've seen huge pre-calculus textbooks that seriously don't teach as much and as well as Simmons does: they are verbose, dry and dull. In less than 120 pages this book covers Geometry, Algebra and Trigonometry. These three parts are independent of each other, so you can read then in any order you want.Even if Simmons aims for brevity, he always gives good examples (and solutions) to the topic being covered. Also, on each topic, he gives proofs for most formulas and concepts. And his proofs are so intuitive (but correct!) that when one understands one has to smile of the satisfaction. Of course, Simmons does not prove obvious things. For example, he himself argues that proving that one point is always in the middle of three points that lay in a line segment is painful to discuss, and says "...when examining a proof, the natural reaction of an intelligent student is irritation and impatience, and he is right." One word of advice though: some proofs are obscure in the sense that they are not completely laid out in just one block of the text. Simmons sometimes assumes you have a COMPLETE understanding of all the topics before the proof, so he goes over some details hoping you know what is going on. But this is not really bad, because he will always tell you for example: "Because of (a) above..." and this will be you hint to discover the influence of the topic (a) in that proof.It must be said: the explanations of some topics are really brief (though not incomplete), so if you are in a hurry you can finish this book in about three days. I don't think you could work on all the exercises in three days, but anyhow if you are very short on time you could maybe do like 5 or 6 exercises per topic. That seems like a feasible goal for a three day limit.Finally, Simmons does not cover every tiny little detail of pre-calculus in his book. He covers what he thinks are the most important topics. I agree with his choice, because looking back, these are the topics that I needed the most for my calculus, linear algebra, statistics and differential equations classes.
I come from another country where math education was different than what it is in the United States. Now I'm studying in American college and this book comes very handy when I need some extra help in some applied math problems in my science classes. Overall, the book has been a very good purchase! Text is easy to follow and problems are easy to understand with the help of this book.
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Precalculus mathematics in a nutshell: Geometry, algebra, trigonometry PDF
Precalculus mathematics in a nutshell: Geometry, algebra, trigonometry PDF
