By Irving Adler
More than a hundred routines with solutions and 2 hundred diagrams light up the textual content. lecturers, scholars (particularly these majoring in arithmetic education), and mathematically minded readers will savor this impressive exploration of the position of geometry within the improvement of Western medical thought.
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Copyright Copyright © 1966, 1994 by Irving Adler Introduction to the Dover edition Copyright © 2012 by Peter Ruane All rights reserved. Bibliographical Note This Dover edition, first published in 2012, is an unabridged republication of the work originally published by The John Day Company, New York, in 1966. A new Introduction to the Dover edition, written by Peter Ruane, has been specially prepared for the present volume. Library of Congress Cataloging-in-Publication Data Adler, Irving. A new look at geometry / Irving Adler with diagrams by Ruth Adler ; introduction to the Dover edition by Peter Ruane.
And yet, despite the clarity of the exposition, and the carefully considered presentation of its contents, there is no hint of oversimplification. As such, this book constitutes a serious challenge to the reader. It is obvious that Irving Adler has a deep understanding of geometry and its history. Moreover, it is clear that, in his day, he was a first-rate teacher, and I would imagine that he was able to teach across a wide range of abilities. Consistent with this belief is the fact that he is the author of fifty-six books (some under the pen name Robert Irving).
The senses, he believed, are deceptive, but we can attain truth that is independent of sense perception by reasoning in the realm of ideas. ” He concluded then that there are three different kinds of being. The first is the idea, which is a pattern for things in the world of sense perception. It is immutable, uncreated, and indestructible. The second is the object of sense perception, a mere imitation of the pattern. It is created, always in motion, and perishable. ” Thus Plato made two abstractions from an object such as a cylindrical block of stone.