It takes the proper infusion of light and shade to accurately represent an object's solidity and character. With this time-honored guide, artists will easily develop a keener, more educated eye for introducing shadow, light, gradation, and reflection to drawings. This insightful study begins with fascinating artistic experiments and exercises, moving on to illuminating advice on how to deepen volume, evoke sunlight, and create mood. Various shapes...

Andrew Hacker’s 2012 New York Times op-ed questioning the requirement of advanced mathematics in our schools instantly became one of the paper’s most widely circulated articles. Why, he wondered, do we inflict a full menu of mathematics—algebra, geometry, trigonometry, even calculus—on all young Americans, regardless of their interests or aptitudes? The Math Myth expands Hacker’s scrutiny of many widely held assumptions, like the notions...

In this thought-provoking practical guide, a noted artist and educator demonstrates that learning to violate the rules of perspective (profitably) is as important for the practicing artist as learning the principles of perspective themselves. Only in this way can students free themselves from the constraints of tradition and find their own imaginative paths. However, it is vital that students first have a solid grasp of classical perspective before...

In this book we look at many of the demonstrations and proofs of the sign laws of multiplication, highlighting errors in the logic within them. They all contain errors. The only exception is one based on a circular theory of number, emphasizing the need to switch to such a theory for teaching children these fundamental laws of arithmetic.

The book of Short Tricks of Math is prepared for those who want to learn interesting mathematical techniques to boost up the calculating method. These Short ticks of Math provide you much faster methods of the mathematical problems than classical. Short Tricks of Math book for students or math lovers.This book helps to improve your calculation skill and provide magical techniques that makes easier your mathematical problems and solve in just few moments....

In North America, the most prestigious competition in mathematics at the undergraduate level is the William Lowell Putnam Mathematical Competition. This volume is a handy compilation of 100 practice problems, hints, and solutions indispensable for students preparing for the Putnam and other undergraduate mathematical competitions. Indeed, it will be of use to anyone engaged in the posing and solving of mathematical problems. Many of the problems in...

A Tap into the Intellectual World is a motivational book that communicates directly to the human spirit and soul activating creativity and innovation in the human mind. After reading this book you will begin to act and think differently, you will reason beyond other people. This book possesses a power to impart a special ability to think like an inventor.

All 80 of the great 18th-century descriptive anatomist's original copperplate engravings of the human skeletal and muscular systems, containing 230 individual illustrations, are reproduced in this edition. Muscles and bones are rendered individually and in related groups from varying perspectives. A work of great scientific merit, this volume is a magnificent work of art as well.

Este manual para estudiantes representa 25 años de enseñanza en los talleres de la Escuela de Arquitectura de la Pontificia Universidad Católica de Chile, y es fruto de las prácticas profesionales y docentes de diversos profesores. Comenzó como una serie de recomendaciones empíricas que los profesores del taller de tercer año hacían a sus alumnos para facilitarles el proceso de diseño y permitirles concentrarse en cuestiones menos triviales...

Well arranged, logical, and aptly illustrated, this classic survey covers every aspect of the design process. It addresses architectural principles as well as their practical application, examining general questions of scale, balance, proportion, and symmetry and presenting detailed treatments of doors, windows, walls, stairways, columns, and other features. Long acknowledged as a valuable resource for students and teachers alike, this volume is unsurpassed...