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Geometry: A Comprehensive Course (Dover Books On Mathematics),New
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A Lucid And Masterly Survey.' Mathematics Gazetteprofessor Pedoe Is Widely Known As A Fine Teacher And A Fine Geometer. His Abilities In Both Areas Are Clearly Evident In This Selfcontained, Wellwritten, And Lucid Introduction To The Scope And Methods Of Elementary Geometry. It Covers The Geometry Usually Included In Undergraduate Courses In Mathematics, Except For The Theory Of Convex Sets. Based On A Course Given By The Author For Several Years At The University Of Minnesota, The Main Purpose Of The Book Is To Increase Geometrical, And Therefore Mathematical, Understanding And To Help Students Enjoy Geometry.Among The Topics Discussed: The Use Of Vectors And Their Products In Work On Desargues' And Pappus' Theorem And The Ninepoint Circle; Circles And Coaxal Systems; The Representation Of Circles By Points In Three Dimensions; Mappings Of The Euclidean Plane, Similitudes, Isometries, Mappings Of The Inversive Plane, And Moebius Transformations; Projective Geometry Of The Plane, Space, And N Dimensions; The Projective Generation Of Conics And Quadrics; Moebius Tetrahedra; The Tetrahedral Complex; The Twisted Cubic Curve; The Cubic Surface; Oriented Circles; And Introduction To Algebraic Geometry.In Addition, Three Appendices Deal With Euclidean Definitions, Postulates, And Propositions; The Grassmannpluecker Coordinates Of Lines In S3, And The Group Of Circular Transformations. Among The Outstanding Features Of This Book Are Its Many Worked Examples And Over 500 Exercises To Test Geometrical Understanding.
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- Q: How many pages are in the book? A: This book contains four hundred sixty-four pages. It provides comprehensive coverage of elementary geometry, making it suitable for undergraduate mathematics courses.
- Q: What is the binding type of this book? A: The book is available in paperback binding. This makes it lightweight and easy to handle for students and readers.
- Q: What are the dimensions of this book? A: The book measures six and a half inches in length, three-fourths of an inch in width, and nine and a half inches in height. These dimensions make it portable for study.
- Q: Who is the author of this book? A: The author of this book is Dan Pedoe. He is recognized for his expertise in geometry and effective teaching methods.
- Q: What topics does this geometry book cover? A: This book covers various topics including vectors, projective geometry, and algebraic geometry. It aims to enhance understanding of geometric concepts.
- Q: Is this book suitable for beginners? A: Yes, this book is suitable for beginners. It offers a lucid introduction to geometry, making it accessible for students new to the subject.
- Q: What level of mathematics knowledge is required to read this book? A: A basic understanding of high school mathematics is recommended. This foundation will help readers grasp the concepts presented in the book.
- Q: How can I apply the concepts learned from this book? A: You can apply the concepts through worked examples and exercises provided within the book. It includes over five hundred exercises to test your understanding.
- Q: Is there a specific audience for this book? A: Yes, the book is designed for students and educators in mathematics. It's particularly beneficial for those studying geometry at the undergraduate level.
- Q: How should I store this book? A: Store this book in a cool, dry place away from direct sunlight. This will help preserve the quality of the paperback binding and printed pages.
- Q: Can I clean this book if it gets dirty? A: Yes, you can gently wipe the cover with a dry cloth. Avoid using water or cleaning solutions that could damage the pages.
- Q: What should I do if my book arrives damaged? A: If your book arrives damaged, contact the seller directly for a replacement or refund. Keep all packaging materials for their review.
- Q: What is the return policy for this book? A: The return policy typically allows returns within thirty days of purchase. Check with the retailer for specific instructions on how to return the book.
- Q: Does this book include any additional resources? A: Yes, the book includes three appendices that cover Euclidean definitions, postulates, and propositions. These resources enhance the learning experience.
- Q: Is this book appropriate for self-study? A: Yes, this book is very appropriate for self-study. Its clear explanations and numerous exercises make it suitable for independent learners.