Euclidean-Geometry Books
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Good bookReview Date: 2000-03-24
Great Book.Review Date: 2005-05-17
Caveat: Amazon points to wrong book as the paperback of first edition.

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Great Book for Amatuer MathematiciansReview Date: 2006-03-12
Please note that many of the theorems quoted in this book are not proved in the book, although clear references are made to other texts. This is clearly necessary for the book to be as accessible as it is, but for me, despite the book's great clarity, it cost one star of rating.
Mathematics needs books like that!Review Date: 2002-08-17

Hands-on projective geometryReview Date: 2006-10-22
Remarkable non-algebraic development of the topic.Review Date: 1999-07-18

This could be the beginning of a beautiful seminar courseReview Date: 2005-12-17
First, Beltrami's two 1868 papers. The geodesic geometry of surfaces of constant negative curvature such as the pseudosphere capture much of the essence of hyperbolic geometry. However, one does not find the actual hyperbolic plane lying around in three-space. But Beltrami has a way of mapping a surface of constant curvature into the Euclidean plane such that geodesics go to lines. From this point of view the previously intractable step--how to go from a hyperbolic surface to the hyperbolic plane--suggests itself immediately, and we obtain the projective disc model. Now, one way of looking at this construction is to say that it consists of putting a constant-curvature metric on a disc. This point of view is sufficiently abstract to work in n dimensions, as Beltrami shows in his second paper. As a bonus he exploits two other constant-curvature metrics to obtain the other two fundamental models of hyperbolic geometry: the conformal disc model and the half plane model. (Especially for the second paper one is very grateful for Stillwell's introductions.)
Next, Felix Klein. Instead of differential geometry, Klein approches the subject from the point of view of projective geometry. Indeed, Beltrami's projective disc metric begs to be interpreted in terms of projective geometry: the distance between two points in the circle is easily expressed in terms of the cross-ratio of these two points and the two colinear points on the circle. Similarly, projective geometry subsumes spherical and Euclidean geometry as well.
Lastly, there are three little texts by Poincaré, from a third viewpoint: complex function theory. The isometries of Beltrami's half plane model are readily described in terms of linear fractional transformations (in fact, the harmony is even more marked in three dimensions, as Poincaré soon realises). But we can also go "backwards", i.e. we can deduce Beltrami's metric from the isometry group. This proves to be a very rewarding shortcut indeed, since we can employ the built-in geometry of complex function theory.
Learn from those who discovered itReview Date: 2001-04-17
In this book, we hear from those instrumental in developing the consequences of hyperbolic geometry. The book consists of translations of original papers by E. Beltrami, F. Klein and H. Poincare. In reading them, you are allowed to be there at the creation, learning firsthand how a revolution in mathematics was made. I found the papers to be fascinating, learning many aspects of hyperbolic geometry that I did not know before.
Mathematical progress is commonly measured by nonlinear sticks. The papers of this book not only show you how hyperbolic geometry was developed, but many of the consequences. It is ideal for a short course in non-Euclidean geometry.

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Former Professor writes a book and it stinksReview Date: 2009-01-06
If I had to do it all over, first and foremost, I wouldn't take that accelerated course and secondly, I wouldn't want to use this book, so I'd do only the HW and then use a secondary book to learn. I hope that the next book he drops isn't as a**-backwards.
Excellent ConditionReview Date: 2008-10-15
excellent!Review Date: 2008-10-09
Null SetReview Date: 2008-08-27
This is an excellent book - periodReview Date: 2007-06-15
A retired hedge fund manager.

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PrecalculusReview Date: 2008-06-22
BEWARE Wrong edition sent, NO correction madeReview Date: 2008-10-14
Precalculus textbookReview Date: 2008-09-14
I was pleasantly surprised when I received the package in the mail. When I opened it, I was alarmed that the book was in such good condition and everything that was mentioned about it was true.
I purchased a few other books which arrived in the time specified that it would arrive and in the condition that was stated in the ad.
I have no fear using this site to purchase other materials.
Clear and understandable.Review Date: 2006-05-27
Not a single time did I felt lost or confused by the presentation. Most of the graphics and photos do supplement the explanation, and help the reader grasp the information better. One of the highlights, one that perhaps most people will miss, is the simple review questions at the beginning of each section. These little snippets of previous material force the reader to review those concepts that will be essential for further understanding.
Every new section in the book is short and clear; thus reducing the amount of explanation, but at the same time maintaining just enough so that the reader will not feel lost in the many formulas and derivations. If this book does not get "5 starts" from my review it is only because it could be more mathematically rigorous by presenting more proofs. But by not doing so it increases the clarity and easy presentation the book possesses - great book well worth the price.
reviews for the 7th edition?Review Date: 2006-01-18
it is my opinion that amazon will not post this as it obviously not a review, but it my contention that the 8 posted are not reviews of this edition, either. why are they posted?

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I don't like TeaReview Date: 2005-01-09
The Good Parts Are Good!Review Date: 2004-09-01
The bits on the early history of trigonometry were fascinating. I particularly appreciated the clear and complete explanations of problems from the Egyptian Rhind papyrus and from cuneiform sources.
Not all of the later historical developments are equally worth our time. The sidebars on Viète, Lissajous, and Landau were particularly good, but the ones on Agnesi and De Moivre didn't add much. (This is unfortunate in the case of De Moivre, but I think a sidebar just can't do justice to so great a mathematician--the fun and beauty is lost when you try to squeeze the highlights together.) I agree with Maor that the big names should not be allowed to slide into oblivion, but in a book like this the subject matter should always pass the stricter test of what intrinsic "delights" it offers.
In this genre, the digressive nature of a "journey of discovery" is part of the appeal. But sometimes the thread connecting the episodes was hard to discern here. Chs. 7-8, 10-12 are tedious and feel like padding compared to the well-sustained interest throughout most of the book.
On the other hand, Ch. 14 ("Imaginary Trigonometry") is a masterpiece. With only a basic knowledge of how complex numbers work, readers can appreciate three beautiful examples of conformal mapping (w=sin z, w=e^z, z=w^2). These mappings are chosen and illustrated to your imagination much better than any of the visual exhibits in a standard applied math textbook like Greenberg's "Advanced Engineering Mathematics."
It's in the nature of such a book that sometimes the key problems presented are solved with the help of something that Maor thinks is too advanced or tedious to present to his audience. The result can be that the story of historical progress is obscured by these "rabbit out of a hat" moments. At least, I found that I had to stop and look up the missing pieces, in order to make some of the developments as impressive as they were supposed to be. (I also had to look up some "well-known theorems" in Euclid, read up on the background to Stirling's factorial approximation, etc.)
anything but a delightReview Date: 2006-03-23
Wish They Had 10 Star Ratings!Review Date: 2007-01-11
This book starts out taking you on a trip thru Ancient Egypt and trigonometry's roots. It dissects a pyramid, mathematically. Cool. It then explores all facets of trigonometry from a fun point of view.
You can't help but love this book. I can hardly put it down. So, if you ever want to know "why" you are doing anything trigonometrically, then this book is for you. Total amateur or PhD level person will love this little book!
Off On A Good TangentReview Date: 2006-05-27
For those who need more warming up to the mathematics, I would recommend reading Maor's earlier books first. Infinity and Beyond, The Story of a Number (e), and Trigonometric Delights have some overlapping subject matter. And, the author develops them in later books with new concepts. Although there is some content overlap (perhaps five percent), there is plenty original content in each book.
The main reason this book is a favorite of mine is due to the subject, trigonometry is not covered so well by others. Also, this book has a more refined format than his earlier books. High school trigonometry, rarely taught in depth today, is good enough to make this an easy read. For young adults who have suffered the modern brush over, this book is priceless. For all readers, this book offers a fresh perspective. You will see the practical applications; and you will truly learn the purpose of a trigonometric function. If you appreciate graphical representations, you will appreciate this author's approach..
As in his earlier work's subject matter, Maor gives a good history of this subject matter. But, geometric solutions to problems are the gems of this book. Regiomontaus's maximum problem, a geometric solution to Zeno's paradox, and a geometric construction of an infinite product are developed. Also described is the contribution of trigonometry to the infinite series and De Moivre's theorem. If you ever owned a Spirograph, you will have wished a copy of this book to truly visualize what those circles and gears were truly doing and to learn to predict results through math.
Any book by Eli Maor would not be complete without concepts of conformal mapping as applied to mapmaking. In this book, he cleverly shows in detail the conversion of a spherical map to a flat one while explaining the virtues of conformal mapping. In the penultimate chapter Sinx = 2, Imaginary Trigonometry, Maor illustrates the link between trigonometry, imaginary numbers, and the complex plane. Nowhere else have I seen a better description of conformal mapping of a complex valued function. The book's final chapter is a clear and interesting illustration of Fourier's theorem. These last two chapters contain the most challenging concepts; but they are clearly explained.
I hope for another book by this author to be published soon.

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I am totally satisfied ...Review Date: 2008-11-12
Terrible for TheoryReview Date: 2005-09-16
At certain times magic equations would pop out of thin air and you would have to stew over them for hours at a time trying to figure out what the heck they meant.
This book is definately not for a beginner or someone who's looking for an easy quick overview after being away from the subject for abotu 6 years.
Summer School REviewReview Date: 2006-07-31
Utterly and Deplorably HorribleReview Date: 2003-01-06
Now back to the incompleteness. Half-way through the book trigonometric function graphs are introduced (y=sinx and so on). The book very briefly describes aspects of each periodic function in a somewhat scattered manner. All of the information that is given fits on about one 8 1/2 X 11 piece of paper, somewhat terse isn't it?
This book is not for beginners and is most likely not even for people that would like to brush up on trigonometry. For a more comprehensive edition of a trigonometry tutorial you must turn elsewhere because this book will leave you asking what? huh? how? Perhaps one of the better trigonometry titles out there, and believe me I say this reluctantly because it is also deplorable, is Trigonometry the Easy Way. In conclusion if you have this book return it or if you can't use it only as a way to reinforce trigonometry ideas.
Great for Trigononometry examsReview Date: 2005-01-07

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Trig-GelfandReview Date: 2008-09-07
This is a very good Trig book. However, there was no offer of an answer book. I will teach a course using this book. Can you give me a site where I can get an answer book? With the answer book I could give 5 stars.
Huge Disappointment!!Review Date: 2008-10-16
Trigonometry is all about triangles!Review Date: 2008-08-20
Pedestrian perspective on a universal visionReview Date: 2008-03-09
Many Exercises, No SolutionsReview Date: 2007-11-22

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best pre-calc book everReview Date: 2006-11-27
Excellent Book!Review Date: 2006-06-08
The first text that I attempted to use was given to me by a co-worker and omitted much of the understanding needed to progress.
We, as a nation, need to LEARN again, not memorize, and this book actually teaches!
Bravo!
Shameful execution!!!Review Date: 2006-01-18
First off Robert Blitzer is a smart man but this book is poorly written.
When going through some practice exercises i found that the difficulty kicked in right away, giving me no time to get used to the concept of the problem i was faced with. To add insult to injury some problems were hard to solve since they left blank on how to accomplish solving the task....
I also felt his tendency to use excessive amount of word problems led me to belive this was wriiten for a master level college class.
Textbook industry: Use 1/3 of book, Respend money for same darn thingReview Date: 2006-08-16
I have to disagree about exercise difficulty. Each chapter or section started with easier exercises which increased in difficulty. However, in the 2nd Edition there were quite a few errors in the answers to odd-numbered problems in the back of the book, so if you couldn't arrive at the same answer you wondered if you were really wrong or not! Had to wait until the next class to find out...bad!
My HUGE GRIPE is our college makes a big deal of all teachers (with the exception of ever-changing technology/computer texts) using the same book...but WHAT'S THE POINT? Each book is designed to cover several courses so the textbook publishers can rake in BIG MONEY for their thick book. The next year, they add some different charts and change some problems so you can't get by on your old edition if the college goes to the next one...which the college ALWAYS does, for no benefit...regardless of the errors you must put up with, that are undoubtedly a result of the pressure to constantly "upgrade" the book.
So, you buy a book that is SUPPOSED to cover at least 2 courses, you use less than half of it, then when you take the 2nd course, you have to RE-BUY IT!
In addition, they now market books with CDs using the publisher's own online-course website instead of the schools...which you cannot access unless you buy the new-edition book with THEIR CD. The stupid college uses the publisher's online-course website even if the college's own online-course website is perfectly fine.
So now I have to buy this stupid 3rd edition in addition to my 2nd edition, and I have to get the one with the CD. This is just the publisher's way of forcibly preventing people from recycling textbooks. If I am not allowed into the publisher's course website with a used CD, I am withdrawing from this college and transferring! I'm only at this college to take some courses required to transfer to a top college, anyway. I will GLADLY take them somewhere else!
College deans pay attention...YOU DO NOT HAVE A RIGHT TO DEMAND COLLEGE STUDENTS WASTE THEIR HARD-EARNED MONEY MAKING TEXTBOOK MANUFACTURERS RICH...USE YOUR OWNED DARNED WEBSITES FOR ONLINE COURSES!
Great Math TextbookReview Date: 2006-03-04
I wasn't always able to make it to class, but the examples and explanations did not loose me and I was able to play catch up successfully on my own with this text. I can't say that about any other math text.
I must agree with the other person who wrote a review and said it would sure be nice if Blitzer had a Calculus text (though Larson is a good Calc author). Calculus would have been a breeze with a Blitzer book instead of a stuggle (had to buy a Larson book to supplement by school's Calc book choice).
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