Circles: A Mathematical View (Spectrum) 2nd Edition by Dan Pedoe (PDF)

Description

This revised edition of a mathematical classic originally published in 1957 will bring to a new generation of students the enjoyment of investigating that simplest of mathematical figures, the circle. The author has supplemented this new edition with a special chapter designed to introduce readers to the vocabulary of circle concepts with which the readers of two generations ago were familiar. Readers of Circles need only be armed with paper, pencil, compass, and straight edge to find great pleasure in following the constructions and theorems. Those who think that geometry using Euclidean tools died out with the ancient Greeks will be pleasantly surprised to learn many interesting results which were only discovered in modern times. Novices and experts alike will find much to enlighten them in chapters dealing with the representation of a circle by a point in three-space, a model for non-Euclidean geometry, and the isoperimetric property of the circle.

User’s Reviews

Editorial Reviews: Book Description Illuminates the fundamental aspects of geometry where the circle plays an important role.

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐Excelente.

⭐I consider myself a geometry hobbist, and this was the only book I’d seen concentrating solely on the geometry of the circle. It discusses topics not covered in general, lower-level (high school or elementary college) texts: inversion, centers of similitude, coaxal systems, others. (There’s no point in telling you what’s in this book, since you can “Look Inside” and see for yourself.) This is intermediate or advanced in its level of difficulty, and certainly requires a familiarity of more than basic geometry and algebra. There is virtually nothing of the elementary properties and theorems of the circle involving: arcs, radii, diameter, chords, secants, tangents, inscribed geometric figures, etc. The knowledge of all this is presumed. It seems to be oriented to a person very comfortable with the material being presented using mathematical symbols and terms. This is why I gave it 4 stars, rather than 5.Four chapters: Chapter 1 discusses some more esoteric properties of circles (see the “Look Inside!”). Chapter 2 “adopt(s) a completely different point of view from that pursued in the first chapter.” (page 26) I couldn’t figure out how to summarize it for you. Chapter 3 discusses the circle’s part in “the Poincare model of hyperbolic non-Euclidean geometry.” (page 44) Chapter 4 talks about the circle’s property of enclosing the greatest area with a given perimeter. This text, problems, and solutions of this “new” edition are verbatim the same as the previous 1979 (corrected) edition. Even the typeset and layout are identical. Pedoe (1910-1998) has added three items to this new “3rd” edition.1) A 27-page “Chapter 0, designed to introduce readers the special vocabulary of circle concepts” (from back cover of new book). Even this “introduction” (the first six pages) would never be considered elementary.2) There is a 17-page appendix about the life of Karl Feuerbach, and his work on the 9-point circle.3) This edition has added an index.I hope this helps, Ken Burns.P.S. I’ve since seen a much more basic geometry book about circles: The Circle: a Mathematical Exploration Beyond the Line, 2016; Alfred Posamentier and Robert Geretschlager – 349 pages, indexed. This book is much, much easier to follow; and written on an advanced elementary level (I know, oxymoronic).

⭐Absolutely nonsensical price. I paid $15.70 for mine. The book is excellent and should be available to everyone at the kind of pricing the publisher would originally charge – fair market value. This book is not a rare collector’s item yet.

⭐Received on time, at advertised,

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