A highly recommended high-school text by two eminent scholars
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Should be required reading for every teacher of geometry. -- Mathematical Gazette
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20 of 23 people found the following review helpful:
5.0 out of 5 stars
Very Helpful,
This review is from: Basic Geometry (AMS Chelsea Publishing) (Hardcover)
I'm currently working through it, and am finding it really good. The approach is to present geometry as an ideal axiomatic system and show how all statements flow logically from others. Although all books on geometry are supposed to do this, it's not always presented as clearly as it should be.I feel I'm getting what I need from this book. The other book I tried was the Jurgenson text, which is a standard high school textbook, but I found it to be somewhat childish and unfocused. This book is written in a more mature and serious style, and gets right down to it. Although I'm not that far into it yet, so far it seems very good for someone interested in introducing themselves to the logically systematic groundwork of mathematics, geometry, or, as in my case, both.
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Inside This Book
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First Sentence:
CONSIDER the following two disputes, just as if you had been asked to decide them. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
differences measure angles, unequal positive numbers, tangent internally, common internal tangent, demonstrative geometry, sides opposite these angles, common external tangent, external tangents, angles opposite these sides, inscribed regular polygon, rectangular network, proportional segments, fourth proportional, geometric propositions, equal chords, regular decagon, similar polygons, inscribed angle, equal circles, equal arcs, equal respectively, central angle, skew lines, regular octagon, given circle Key Phrases - Capitalized Phrases (CAPs): (learn more)
Pythagorean Theorem, Area Assumption, Principle of Angle Measure, Prove Principle New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
CONSIDER the following two disputes, just as if you had been asked to decide them. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
differences measure angles, unequal positive numbers, tangent internally, common internal tangent, demonstrative geometry, sides opposite these angles, common external tangent, external tangents, angles opposite these sides, inscribed regular polygon, rectangular network, proportional segments, fourth proportional, geometric propositions, equal chords, regular decagon, similar polygons, inscribed angle, equal circles, equal arcs, equal respectively, central angle, skew lines, regular octagon, given circle Key Phrases - Capitalized Phrases (CAPs): (learn more)
Pythagorean Theorem, Area Assumption, Principle of Angle Measure, Prove Principle New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
6
books
cite this book:
See all 6 books citing this book
- Backgrounds of Arithmetic and Geometry: An Introduction (Pure Mathematics Series , Vol 23) by Radu Miron in Back Matter
- Geometry Turned On: Dynamic Software in Learning, Teaching, and Research (Mathematical Association of America Notes) by Doris Schattschneider on page 120
- Introduction to Clustering Large and High-Dimensional Data by Jacob Kogan in Back Matter
- Mathematical Structures and Mathematical Modeling by I. M. Yaglom in Back Matter
- The Foundations of Geometry and the Non-Euclidean Plane by G.E. Martin on page 156
See all 6 books citing this book
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