A Modern View of Geometry (Dover Books on Mathematics),New

A Modern View of Geometry (Dover Books on Mathematics),New

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On the required reading list for all thoughtful students who wish to see mathematics from the 'higher standpoint.' ' American Mathematical MonthlyElegant and original, this exposition explores the foundations and development of both Euclidean and nonEuclidean geometry, particularly the postulational geometry of planes. Emphasis is placed upon the coordination of affine and projective planes as well as the basic unity of algebra and geometry.Geared toward undergraduate and graduate students, the treatment begins with a brief but engaging sketch of the historical background of Euclidean geometry and an elementary summary of set theory and propositional calculus. Subsequent chapters explore coordinates in an affine plane, including those with Desargues and Pappus properties, and coordinatizing projective planes. The final two chapters contain detailed developments of simple sets of postulates for the Euclidean and nonEuclidean planes.

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Frequently Asked Questions

  • Q: What is the main focus of 'A Modern View of Geometry'? A: The book explores the foundations and development of both Euclidean and non-Euclidean geometry, with a particular emphasis on the postulational geometry of planes.
  • Q: Who is the author of this book? A: The author of 'A Modern View of Geometry' is Leonard M. Blumenthal.
  • Q: What is the page count of the book? A: The book contains 208 pages.
  • Q: Is this book suitable for beginners in mathematics? A: While it is geared toward undergraduate and graduate students, those with a basic understanding of geometry may also find it accessible.
  • Q: What are the key topics covered in the book? A: Key topics include the historical background of Euclidean geometry, set theory, propositional calculus, and the coordination of affine and projective planes.
  • Q: What is the binding type of this book? A: The book is available in Paperback binding.
  • Q: When was 'A Modern View of Geometry' published? A: The book was published on April 19, 2017.
  • Q: Does the book include exercises or problems for practice? A: The book primarily focuses on theoretical exposition and does not specifically mention exercises or problems within its description.
  • Q: What edition of the book is available? A: This is the 3rd reprint edition of 'A Modern View of Geometry'.
  • Q: How does this book contribute to the understanding of geometry? A: The book provides a unique perspective by integrating algebra and geometry, enhancing the reader's understanding of geometric concepts.