Foundations of Geometry,Used

Foundations of Geometry,Used

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Foundations of Geometry, Second Edition is written to help enrich the education of all mathematics majors and facilitate a smooth transition into more advanced mathematics courses. The text also implements the latest national standards and recommendations regarding geometry for the preparation of high school mathematics teachersand encourages students to make connections between their college courses and classes they will later teach. This text's coverage begins with Euclid's Elements, lays out a system of axioms for geometry, and then moves on to neutral geometry, Euclidian and hyperbolic geometries from an axiomatic point of view, and then nonEuclidean geometry. Good proofwriting skills are emphasized, along with a historical development of geometry. The Second Edition streamlines and reorganizes material in order to reach coverage of neutral geometry as early as possible, adds more exercises throughout, and facilitates use of the opensource software Geogebra.This text is ideal for an undergraduate course in axiomatic geometry for future high school geometry teachers, or for any student who has not yet encountered upperlevel math, such as real analysis or abstract algebra. It assumes calculus and linear algebra as prerequisites.

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Frequently Asked Questions

  • Q: What is the main focus of 'Foundations of Geometry'? A: 'Foundations of Geometry' emphasizes enriching mathematics education for majors and preparing high school teachers with a comprehensive understanding of axiomatic geometry.
  • Q: Who is the author of this textbook? A: The textbook is authored by Gerard Venema.
  • Q: What is the publication date of the second edition? A: The second edition was published on July 6, 2011.
  • Q: What topics does this book cover? A: The book covers Euclid's Elements, axioms for geometry, neutral geometry, Euclidean and hyperbolic geometries, and non-Euclidean geometry.
  • Q: What skills does the book emphasize? A: It emphasizes good proof-writing skills and the historical development of geometry.
  • Q: Is there a specific audience for this textbook? A: Yes, it is ideal for undergraduate students studying axiomatic geometry and future high school geometry teachers.
  • Q: What are the prerequisites for this textbook? A: Students should have a background in calculus and linear algebra before using this textbook.
  • Q: Does the book include exercises for practice? A: Yes, the second edition adds more exercises throughout the text to facilitate learning.
  • Q: What is the binding type of this book? A: The textbook is available in paperback binding.
  • Q: How many pages does 'Foundations of Geometry' have? A: The textbook contains 389 pages.