Title
A Modern View of Geometry (Dover Books on Mathematics),Used
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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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- Q: What is the page count of this book? A: This book has two hundred eight pages. It covers topics in both Euclidean and non-Euclidean geometry.
- Q: What are the dimensions of this book? A: The dimensions are five point six three inches in length, zero point four three inches in width, and eight point two three inches in height.
- Q: What is the binding type of this book? A: This book is paperback bound. This binding type makes it flexible and lightweight for easy handling.
- Q: Who is the author of this book? A: The author of this book is Leonard M. Blumenthal. He provides insights into geometry with a historical perspective.
- Q: What topics does this book cover? A: This book explores the foundations of Euclidean and non-Euclidean geometry. It emphasizes the coordination of affine and projective planes.
- Q: Is this book suitable for beginners? A: Yes, this book is suitable for undergraduate and graduate students. It begins with an engaging introduction to geometry concepts.
- Q: Can I use this book for self-study? A: Yes, you can use this book for self-study. It offers a comprehensive treatment of geometry that is accessible for learners.
- Q: What prior knowledge do I need to read this book? A: A basic understanding of set theory and propositional calculus is helpful. However, the book provides an elementary summary for context.
- Q: Is this book appropriate for high school students? A: Yes, it can be appropriate for advanced high school students. It offers foundational concepts that can enrich their understanding of geometry.
- Q: What are the care instructions for this book? A: To keep this book in good condition, store it in a cool, dry place. Avoid exposing it to direct sunlight to prevent fading.
- Q: How should I clean this book? A: To clean this book, use a dry cloth to gently wipe the cover. Avoid using water or cleaning agents to prevent damage.
- Q: Does this book have any hazardous materials? A: No, this book does not contain hazardous materials. It is safe for general handling and reading.
- Q: What if my book arrives damaged? A: If your book arrives damaged, contact customer service for assistance. They can guide you on returns or replacements.
- Q: Is there a warranty for this book? A: No, typically, books do not come with warranties. However, check with the retailer for their specific return policy.
- Q: How can I find more books like this one? A: You can find more books like this one by searching within the Geometry & Topology category. Look for titles from Dover Publications and similar authors.