When it was originally published in 1970; How to Draw What You See zoomed to the top of Watson-Guptillrsquo;s best-seller listmdash;and it has remained there ever since. ldquo;I believe that you must be able to draw things as you see themmdash;realistically;rdquo; wrote Rudy de Reyna in his introduction. Today; generations of artists have learned to draw what they see; to truly capture the world around them; using de Reynarsquo;s methods. How to Draw What You See shows artists how to recognize the basic shape of an objectmdash;cube; cylinder; cone; or spheremdash;and use that shape to draw the object; no matter how much detail it contains.From the Trade Paperback edition.
#248900 in eBooks 2011-08-19 2011-08-19File Name: B004J351CG
Review
1 of 1 people found the following review helpful. Music for Math majorsBy Michael RousselleThis is a review of the second volume which assumes you have read the first volume. Each chapter starts off with a summary of the topic which would be useful for someone with little knowledge of college level math. It then proceeds with more detailed description of the concept which definitely requires a good understanding of college level mathematics and ends with a much more detailed description which would best be understood if one had a math degree. Even though I have a good understanding of college math: Calculus. Deferential Equations. Matrix Algebra. Topology. etc.. I still found it necessary to read the chapters more than once. But I do have to say that reading the book greatly increased my knowledge of both Math and Music.1 of 1 people found the following review helpful. A Really Cool BookBy EnnyI bought this book for someone close to me and they absolutely love it! They talk about it all the time and they keep mentioning how so many things in music makes sense. Ive read a bit of the book myself and theres a lot of really interesting and cool information in this book. You dont have to be a total expert to understand the content in this book. In fact. I had to buy the second volume to find out what else we could learn. I would really recommend this book to someone who loves music and wants to know the workings behind it. In conclusion. this is a really neat book with a LOT of interesting information!29 of 30 people found the following review helpful. Extraordinary Beyond the Title. a must for all Math LoversBy Lets Compare Options PreptorialThe sad thing about this series is that the keywords that invite readers to stop by. hide the fact that these texts go far beyond music. to USE music as a gentle introduction to extremely complex. relevant and timely math concepts. The best teachers use four paths to explain a math concept: verbal. formulaic. algorithmic and pictographic. These help the brain comprehend the topic regardless of our learning modality. The authors here are simply MASTERFUL math teachers. and clarify everything from Eulers Law (relation of e. the base of the natural logarithms to pi. the base of the trig functions) to Fourier Transforms. in a way that a bright High School student will get. If youve been out of math (any math) for a long time. and want a masterful review of math concepts and techniques. this series is THE place to start. You can then extend that foundation to many other applied areas. from signal processing to physics. voice recognition. etc. Fourier transforms (and their more recent spin off in Cepstrums) are being used in too many fields to list today. from radar and electronic engineering. to whale songs.In every section. the authors excitement is contagious. Rather than give a bunch of dry proofs that reek of hubris and disregard for the reader. Gareth uses a "curious mind" tone. as if he were just learning and discovering this too. like a kind of puzzle or murder mystery. Loy is Monk. Holmes and Columbo combined. For example. he gives a few expansion series for e. then says: "Wow. there seems to be a striking and beautiful pattern here. doesnt there? Wonder what it can be?" Leave it to a guy into both math and music to see the wonder in a time series!One more example. Any texts on waveforms have to involve deep calculus. especially PDEs. Unfortunately. deep PDEs dont happen until grad school. But. rather than assume the reader uses calculus all day long. Loy starts with the basics at "now lets see how the first derivative is actually slope finding and integration is the area covered by the moving curve..." including those perhaps more musically inclined who have forgotten what a derivative is. Astonishingly. Loy sneaks around the dry topic of limits to use MUSIC as a great practical refesher on calculus (p. 263 of the second volume. in the section that is the hottest topic in Physics today. from Astronomy to Medical Imaging to of course music: Resonance).Gareth is one of the few mathematicians around who can relate math to the astonishment of life around us. After all. our brain is doing advanced Fourier Transforms every time we cross a street in traffic. and when we get an MRI. the Fourier Transforms that convert magnetic alignment to pictures are assuming that the atoms in our body are a song. which when pulsed with a radio wave. will sing the positions of their water molecules back to us in harmonics that can be seen as well as heard.Highly recommend this series. not only for everyone interested in math and music. but math and life!
