Euclidean geometry

By: David M. ClarkMaterial type: TextTextSeries: MSRI Mathematical Circles Library ; Vol. 9Publication details: Rhode Island: American Mathematical Society, [c2012]Description: 127 pISBN: 978-0-8218-8985-5Subject(s): MathematicsLOC classification: QA451
Contents:
1. Plane geometry 2. Contents 3. Acknowledgments 4. Preface 5. Introduction to the student 6. Congruent figures 7. Axioms, theorems and proofs 8. Area measure 9. Angle measure 10. Similar figures 11. Trigonometric ratios 12. Circle measure 13. Perspective geometry 14. The axioms 15. Guidelines for the instructor 16. Hilbert’s axioms
Summary: Geometry has been an essential element in the study of mathematics since antiquity. Traditionally, we have also learned formal reasoning by studying Euclidean geometry. In this book, David Clark develops a modern axiomatic approach to this ancient subject, both in content and presentation. Mathematically, Clark has chosen a new set of axioms that draw on a modern understanding of set theory and logic, the real number continuum and measure theory, none of which were available in Euclid's time. The result is a development of the standard content of Euclidean geometry with the mathematical precision of Hilbert's foundations of geometry. In particular, the book covers all the topics listed in the Common Core State Standards for high school synthetic geometry. --- summary provided by publisher
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Item type Current library Collection Shelving location Call number Status Notes Date due Barcode Item holds
Book Book ICTS
Mathematic Rack No 6 QA451 (Browse shelf (Opens below)) Available Billno:IN 003 582; Billdate: 2018-01-11 00917
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1. Plane geometry
2. Contents
3. Acknowledgments
4. Preface
5. Introduction to the student
6. Congruent figures
7. Axioms, theorems and proofs
8. Area measure
9. Angle measure
10. Similar figures
11. Trigonometric ratios
12. Circle measure
13. Perspective geometry
14. The axioms
15. Guidelines for the instructor
16. Hilbert’s axioms

Geometry has been an essential element in the study of mathematics since antiquity. Traditionally, we have also learned formal reasoning by studying Euclidean geometry. In this book, David Clark develops a modern axiomatic approach to this ancient subject, both in content and presentation.

Mathematically, Clark has chosen a new set of axioms that draw on a modern understanding of set theory and logic, the real number continuum and measure theory, none of which were available in Euclid's time. The result is a development of the standard content of Euclidean geometry with the mathematical precision of Hilbert's foundations of geometry. In particular, the book covers all the topics listed in the Common Core State Standards for high school synthetic geometry. --- summary provided by publisher

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