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The Geometry Problem Solver, by The Editors of REA, Ernest Woodward, Geometry Study Gudies
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REA’s Plane and Solid (Space) Geometry Problem Solver
Each Problem Solver is an insightful and essential study and solution guide chock-full of clear, concise problem-solving gems. Answers to all of your questions can be found in one convenient source from one of the most trusted names in reference solution guides. More useful, more practical, and more informative, these study aids are the best review books and textbook companions available. They're perfect for undergraduate and graduate studies.
This highly useful reference covers topics in plane and solid (space) geometry. Pictorial diagrams with thorough explanations on solving problems incongruence, parallelism, inequalities, similarities, triangles, circles, polygons, constructions, and coordinate/analytic geometry.
- Sales Rank: #317952 in Books
- Brand: Brand: Research n Education Association
- Model: 957934
- Published on: 1998
- Released on: 1978-12-31
- Original language: English
- Number of items: 1
- Dimensions: 9.95" h x 1.87" w x 6.72" l, 3.10 pounds
- Binding: Paperback
- 1080 pages
Features
- Used Book in Good Condition
From the Back Cover
REA’s Problem Solvers is a series of useful, practical, and informative study guides. Each title in the series is complete step-by-step solution guide. The Geometry Problem Solver enables students to solve difficult problems by showing them step-by-step solutions to Geometry problems.
The Problem Solvers cover material ranging from the elementary to the advanced and make excellent review books and textbook companions. The Geometry Problem Solver is the perfect resource for any class, any exam, and any problem!
About the Author
Ernest Woodward, Ed.D., is professor of mathematics at Austin Peay State University, Clarkesville, Tenn.
Founded in 1959, Research & Education Association is dedicated to producing the finest and most effective digital and print materials in educational publishing, including some of America’s most popular test preps and study aids. REA’s wide-ranging catalog is a leading resource for teachers, students, and professionals.
Excerpt. © Reprinted by permission. All rights reserved.
HOW TO USE THIS BOOK
This book can be an invaluable aid to students in geometry as a supplement to their textbooks. The book is divided into 52 chapters, each dealing with a separate topic. The subject matter is developed beginning with lines and angles and extending through analytic (coordinate) and solid geometry. Sections on constructions, coordinate conversions, polygons, surface areas, and volumes have also been included.
Each chapter in the book starts with a section titled Basic Attacks and Strategies for Solving Problems in this Chapter. This section explains the principles that are applicable to the topics in the chapter. By reviewing these principles, students can acquire a good grasp of the underlying techniques and strategies through which problems related to the chapter may be solved.
HOW TO LEARN AND UNDERSTAND
A TOPIC THOROUGHLY
1. Refer to your class text and read the section pertaining to the topic. You should become acquainted with the principles discussed there. These principles, however, may not be clear to you at the time.
2. Then locate the topic you are looking for by referring to the Table of Contents in the front of this book. After turning to the beginning of the appropriate chapter, read the section titled Basic Attacks and Strategies for Solving Problems in this Chapter. This section is a review of the important principles related to the chapter, and it will help you to understand further how and why problems in the chapter are solved in the manner shown.
3. Turn to the page where the topic begins and review the problems under each topic, in the order given. For each topic, the problems are arranged in order of complexity, from the simplest to the more difficult. Some problems may appear similar to others, but each problem has been selected to illustrate a different point or solution method.
To learn and understand a topic thoroughly and retain its contents, it will generally be necessary for students to review the problems several times. Repeated review is essential in order to gain experience in recognizing the principles that should be applied and to select the best solution technique.
HOW TO FIND A PARTICULAR PROBLEM
To locate one or more problems related to particular subject matter, refer to the index. In using the index, be certain to note that the numbers given there refer to problem numbers, not to page numbers. This arrangement of the index is intended to facilitate finding a problem more rapidly, since two or more problems may appear on a page.
If a particular type of problem cannot be found readily, it is recommended that the student refer to the Table of Contents and then turn to the chapter which is applicable to the problem being sought. By scanning or glancing at the material that is boxed, it will generally be possible to find problems related to the one being sought, without consuming considerable time. After the problems have been located, the solutions can be reviewed and studied in detail.
For the purpose of locating problems rapidly, students should
acquaint themselves with the organization of the book as found in the Table of Contents.
In preparing for an exam, it is useful to find the topics to be covered in the exam from the Table of Contents, and then review the problems under those topics several times. This should equip the student with what might be needed for the exam.
Most helpful customer reviews
26 of 26 people found the following review helpful.
Excellent resource, really does the trick.
By Alan Charbonneau
I bought this book right after I started a class in Linear Algebra where the first chapter had us working some geometric proofs using the rules for vector addition, subtraction, and scalar multiplication.
Although this book strictly focuses on geometry and does not use vectors in its proofs, it did clearly illustrate proofs that were easy enough to think through in terms of vectors.
The book is well-written and begins with a review of Methods of Proof, Lines & Angles, Perpendicularity, and Triangles before getting into specific geometric forms.
900+ pages and 900+ problems with a summary of theorems and properties at the end of the book. Some reviews at Amazon contain complaints about REA Problems Solvers, but I have always liked them and I really like this one. They are not intended to replace a textbook, but to give lots of examples over-and-above what a textbook would include.
For example, a few years ago I was studying College Algebra and I was having trouble understanding logarithms. So I reviewed the examples in the REA Problem Solver for Algebra and Trigonometry and worked some problems along with the REA book and then I saw how simple they really were. I have purchased REA Problem Solvers for Calculus, Differential Equations, and Linear Algebra as well and have found all of them to be helpful with some being more useful or better-written than others.
One of the complaints about these books is that they are all written using a Courier-style font. This is true, but there are still Greek symbols, integral signs, exponents, etc (e.g. you do not see 10-squared written as 10^2 - they use a superscript for the exponent). Another complaint that I have seen is that they contain errors. I have not noticed any, but that does not mean there are none present. I do not review these books cover-to-cover, but take a look at those topics that I need to review, so I may not have encountered any errors but they could still be present.
Purchased new, the books may seem a bit pricey if you are on a budget (nowadays the books have a list price of $30.95 for some subjects and $25.95 for others, with discounted prices ranging between $17.95 and $30.25). I always buy them from the affiliated 3rd-party booksellers on Amazon. I got my Geometry Problem Solver extremely cheap $3.15 plus $3.99 for S&H - total of $7.14 and the book arrived in a couple of weeks and was in excellent condition (like new!).
Most of the time I have spent in the $12-$15 range (incl S&H) for these guides. Even if I only were to find help on a single topic within the book, that, to me, is still a bargain. Especially so if you consider the price relative to the cost of tuition and textbooks. If you are really price conscious, most college libraries have copies that are rarely checked out. Until my copy was shipped, I used the one in our library and saw that it had last been checked out in 2004!
p.s. I am 54 years old and went back to night school and started studying math 3 years ago with College Algebra, Trig, PreCalc, Calc 1,2,3, Diff Eq, and now Linear Alg. I have had REA guides for all of the classes and have found them useful in every case.
0 of 0 people found the following review helpful.
Five Stars
By Robert F.
excellent book
9 of 9 people found the following review helpful.
Enough review and you get it
By Charles A. Bass
I wanted to get better at organizing my mind. You knew they taught Chess at West Point. Right? Well, Geometry makes you think. It makes you think in logical steps for problem solving. This book just gives example after example and exhaustively ingrains how to solve Geometry problems. Along the way it coincidentally builds your endurance for solving other problems. This may not be the best book or the most cutting edge but it has such a huge mass of answers and ways to arrive at them that you will absorb the methods. I like it. You might say that if you stare at these pages long enough that you learn by osmosis. I think there should be a book like this in every field of endeavor. Call it canned experience. Oh, a better typeset would be nice.
See all 9 customer reviews...
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