Reddit reviews Geometry Revisited (New Mathematical Library)
We found 8 Reddit comments about Geometry Revisited (New Mathematical Library). Here are the top ones, ranked by their Reddit score.
Used Book in Good Condition
This depends on your current level of knowledge and experience, generally you would start with multiple choice problems and then move on to International Maths Olympiad (IMO) type problems that require written solutions.
Most competitors at the IMO go through training and selection programs to make their national team. Many of the countries running these programs publish their material, for example South Africa : http://www.mth.uct.ac.za/imo/imopub.html.
Another great resource is http://www.artofproblemsolving.com/.
There are a lot of books as well, a small sample :
http://books.google.co.za/books/about/In_P%C3%B3lya_s_Footsteps.html?id=Z3p_MToD32MC&redir_esc=y
http://www.amazon.com/Mathematical-Olympiad-Handbook-Introduction-Publications/dp/0198501056/ref=sr_1_1?s=books&ie=UTF8&qid=1375034070&sr=1-1&keywords=lets+solve+some+math+problems
http://www.amazon.com/Erd%25f6s-Kiev-Problems-Mathematical-Expositions/dp/0883853248/ref=sr_1_2?s=books&ie=UTF8&qid=1375033538&sr=1-2
http://www.amazon.com/dp/0883856190
Our site www.examify.net will email you multiple choice 'math competition' papers that the site will mark and send you worked solutions, most of the content is at a very introductory level at the moment.
If you weren't satisfied with geometry in your school, then I can suggest this wonderful text: http://www.amazon.com/gp/product/0883856190/
I’m not sure precisely what you mean by “contemporary” or “geometric algebra” or “basic number elements and algebra”. What did you feel was missing from Lang’s book? (I’m not familiar with its contents.)
If you want something in line with the standard high school curriculum, but maybe a bit more rigorous than most, this book by Kiselev was the standard Russian school text for generations (review)
Or you could try the Art of Problem Solving geometry book (site).
There’s a lot of good stuff in Coxeter and Greitzer’s book Geometry Revisited, but I’d say it probably assumes a standard high school geometry course as a prerequisite.
Not really limited to plane geometry, but I really like Hilbert and Cohn-Vossen’s book Geometry and the Imagination (review). I’d recommend getting a used copy of the original printing; the recent ones are printed on demand and not as nice.
Also let me recommend Apostol and Mamikon’s lovely book New Horizons in Geometry (review), though it’s more about calculus than algebra per se.
If you want to study plane curves from a complex number perspective, you could try Zwikker’s 1963 The advanced geometry of plane curves and their applications
If by geometric algebra you mean Grassmann/Clifford/Hestenes style algebra, check out the stuff Jim Smith has been doing, or you could take a look at this thing (I haven’t read it), or try these papers.
They probably aren’t what you’re looking for, but I think Farouki’s Pythagorean Hodograph Curves are pretty neat (that book also has a lot of other interesting material in it). Also neat for formalistic theorizing about algebras for spline curves is Ramshaw’s monograph On Multiplying Points: The Paired Algebras of Forms and Sites (probably a bit abstract for what you want here).
What are your goals? Do you want to design lenses and mirrors for cameras? Model classical mechanics systems? Construct arbitrary shapes out of polynomial curves so you can draw fonts or animate characters on a computer screen? Design cut paths for CNC machines? Approximate transcendental functions by some type of function that you can more easily compute with? Find the prettiest proofs of thousand-year-old theorems about circles? Prepare yourself to study differential geometry or algebraic topology? ...
Mathematical Literature is a genre I don't think many people are aware of, I'm glad you're interested.
The Mathematical Experience is a great survey of mathematical ideas. This book toes the line perfectly - someone not knowledgable of advanced mathematics can follow easily yet the book does not dumb down complicated ideas. This is my top recommendation for anyone thinking about studying mathematics.
If you love geometry, then check out Geometry Revisited by H.S.M Coxeter. Coxeter is one of the greatest mathematicians of his time - he single handedly brought geometry back into vogue as a serious study.
Maybe for lighter reading, Ian Stewart has a bunch of good Mathematical survey books for the "layman" - I'd recommend if you have minimal mathematic knowledge.
There's a yearly collection of mathematical writings that you might like too. I've only bought and read the 2010 edition, but I assume the followups have been great. The essays collected vary from finance, game theory, geometry, social sciences, literature, etc. with connections to mathematics.
Hope you have a fun time with math, good luck!
Coxeter, maybe?
Geometry Revisited by Coxeter and Greitzer
http://www.amazon.com/Geometry-Revisited-New-Mathematical-Library/dp/0883856190/
You might like Geometry Revisited by Coxeter and Greitzer.
http://www.amazon.com/Geometry-Revisited-Mathematical-Association-Textbooks/dp/0883856190
Here are some great books that I believe you may find helpful :)
and last but definitely not least:
Later on: