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Complex numbers are a powerful tool for studying the two-dimensional plane: each point corresponds to a unique complex number . The beauty of this correspondenc
by aksbhat 15y ago
Complex numbers are a powerful tool for studying the two-dimensional plane: each point corresponds to a unique complex number . The beauty of this correspondence is that it allows you to add, subtract, and multiply points in the plane
I wish someone would have told me this five years ago, it is such a neat way of thinking!
- cdavid 15y agoif you are interested in new insights about complex numbers and analysis from a geometric POV, this book is wonderful: http://www.amazon.com/Visual-Complex-Analysis-Tristan-Needham/dp/0198534469/ref=pd_sim_b_1 http://www.amazon.com/Visual-Complex-Analysis-Tristan-Needha... and quite accessible.
- happy4crazy 15y agoMy introductory physics class in college included a problem that investigated the effects of "2d" gravity (a generic attractive force proportional to 1/r instead of 1/r^2) on a point mass in the plane. When the professor mentioned that I could write all the vectors as complex numbers, and do regular old algebra with them, my brain almost melted.
- oikjhgbpokj 15y agoThat's why it's important to wait until college to teach kids anything like mathematics. By ensuring that all they learn in school is just arithmatic and keeping the debate to "are calculators good/bad" we stop all the kids being interested in math and so keep it all to ourselves ....evil genius laugh ......