Download PDF Trigonometry
Download PDF Trigonometry
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Trigonometry
Download PDF Trigonometry
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Review
"Cover[s] all of the basic topics that a high school or beginning university student should be expected to know.... There are...some nice touches; for example, a nice informal discussion showing that the sine of an angle in a right triangle does not depend on whether the sides are measured in inches or centimeters..." ―Choice "Covers all the basics of the subject through beautiful illustrations and examples…. Throughout, the treatment stimulates the reader to think of mathematics as a unified subject." ― L'enseignement Mathématique "As a teacher I enjoyed this book enormously and I will doubtless borrow many of the plums to spice up my lessons…. [For] that ideal student who is to be prepared to be challenged to think what the subject is really about, and has the patience to excavate the basic ideas for all they are worth before jumping on to the next chapter, it should prove to be a godsend." ―The Mathematical Gazette "The authors tried to explain the results of trigonometry as simply as possible…. The exercises include a few problems of each routine type. Most of the problems exhibit a new aspect of the technique or object under discussion. One of the goals of this book is to prepare students for a course in calculus. We recommend it for teachers and students." ―Publicationes Mathematicae
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Product details
Series: Gel'Fand School Outreach Program
Paperback: 229 pages
Publisher: Birkhäuser; 2001 edition (June 8, 2001)
Language: English
ISBN-10: 0817639144
ISBN-13: 978-0817639143
Product Dimensions:
6 x 0.6 x 9 inches
Shipping Weight: 15 ounces (View shipping rates and policies)
Average Customer Review:
3.5 out of 5 stars
19 customer reviews
Amazon Best Sellers Rank:
#343,097 in Books (See Top 100 in Books)
I.M. Gelfand is a wonderful mathematician and I have found his books very insightful. I used this book for self-study and was very pleased with it. The main shortcoming of the text is that there are no solutions to the problems. This is not a problem for most of the problems, but some are much more difficult than others. Also, a lot of the problems involve proof. This is typical of math text, but if you are not familiar with elementary proof it may be difficult to work through the problems. Lastly, as with any mathematics book the problems are essential to work through and not auxiliary!
Trig is one of those subjects that gets short shrift, much like algebra. I have to say I think that's because it's taught to kids, who mostly have to take what's given to them. Gelfand eschews the "here, memorize this," approach. While developing the sines and cosines from the standard right triangles, he integrates them with algebra immediately so that you translate smoothly to dealing with them as functions with no clunky, baffling mechanical in-between stage. Most trig manuals are SO BORING even though they're loaded with applications and 4-color illustrations; this little black and white number is hardly bigger than a pamphlet, but it has everything you need and won't put you to sleep. Rightly called a classic.
Great book for reviewing and learning to think about the material with a bit more depth. Bought as an adult (who studied math in college no less), and it's a little easy but still stimulating and helped me review stuff that I never really gave enough attention to in high school. Probably a great book for kids.
A great trigonometry introduction by a real mathematician not some Ed.D's, Good for non-dummies!
Finally - a trig book that doesn't talk down to students. Gelfand treats his readers as intellegent, curious, and competent. This goes far ... especially with kids.Most other trig books are written by educational consultants who view the subject as a odorous swamp that you have to slog through. They distract the reader with glitzy graphics and useless photos. No such chartjunk here. It's from someone who loves the subject, and places the mathematics first.I feel like an avuncular mathematician is showing me the delights of trig ... indeed, he seems to revel in sines, cosines, and tangents. Several of the problems have tickled my 10 year old son: "Dad! Did you know that the area under the first half of the sine curve is exactly 2?"Aaah. Now *that's* a great trig book!
I enjoyed this textbook, especially the way some subjects were so well explained. Not only does this text cover a good bit of material, but it also reveals the way in which the author thinks about this subject. I have noticed, both with this text and the previous two which I have commented on, that certain aspects of the subject become much more transparent or understandable when reexamined with a keener mathematical ability than, at least I possessed, when I was first exposed to these subjects in high school. I had no special interest in math at that time. The limited reexposure one has to trigonomety and geometry as one learns new areas of mathematics in college doesn't seem to do justice to these foundation areas of math.
Edges of pages eaten up but it doesn't affect the contents of the book
I rarely compose reviews even if I happen to really appreciate a book. But THIS is one of those rare exceptions!Gelfand (who also happens to rank among the 20th Century's most renowned and prolific Mathematicians ... I noticed that no reviewer has mentioned this little fact) has written an exceptionally clear and concise, easy to read and to digest text concerning Trigonometry with advancement to higher education in mind. The perfectly logical format and development is novel, very inspiring, coaxing the reader to read on and on and one truly begins to learn right from the first sentence. The reader requires little in the way of prior knowledge and yet, I am convinced, will come away with an enthusiasm for this subject (and hopefully for Mathematics in general). I am a member of a Mathematical Honor Society and of the Mathematical Association of America but I must confess that I was a poor math student, had some very poor teachers and, thanks to some inspiring individuals along the way, managed to discover the real magic and beauty of Math before it was too late (although I have spent the better portion of my professional life compensating for the failures of my former teachers!). This text represents the way Math should be taught in schools. I believe that any frustrated math student will benefit from this text (and probably the other texts also by Gelfand).
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