Items related to The Foundations of Geometry and the Non-Euclidean Plane...
The Foundations of Geometry and the Non-Euclidean Plane (Undergraduate Texts in Mathematics) - Softcover
Synopsis
This book is a text for junior, senior, or first-year graduate courses traditionally titled Foundations of Geometry and/or Non Euclidean Geometry. The first 29 chapters are for a semester or year course on the foundations of geometry. The remaining chap ters may then be used for either a regular course or independent study courses. Another possibility, which is also especially suited for in-service teachers of high school geometry, is to survey the the fundamentals of absolute geometry (Chapters 1 -20) very quickly and begin earnest study with the theory of parallels and isometries (Chapters 21 -30). The text is self-contained, except that the elementary calculus is assumed for some parts of the material on advanced hyperbolic geometry (Chapters 31 -34). There are over 650 exercises, 30 of which are 10-part true-or-false questions. A rigorous ruler-and-protractor axiomatic development of the Euclidean and hyperbolic planes, including the classification of the isometries of these planes, is balanced by the discussion about this development. Models, such as Taxicab Geometry, are used exten sively to illustrate theory. Historical aspects and alternatives to the selected axioms are prominent. The classical axiom systems of Euclid and Hilbert are discussed, as are axiom systems for three and four-dimensional absolute geometry and Pieri's system based on rigid motions. The text is divided into three parts. The Introduction (Chapters 1 -4) is to be read as quickly as possible and then used for ref erence if necessary.
"synopsis" may belong to another edition of this title.
- PublisherSpringer
- Publication date2011
- ISBN 10 1461257271
- ISBN 13 9781461257271
- BindingPaperback
- LanguageEnglish
- Number of pages528
Other Popular Editions of the Same Title
Search results for The Foundations of Geometry and the Non-Euclidean Plane...
Stock Image
The Foundations of Geometry and the Non-Euclidean Plane (Undergraduate Texts in Mathematics)
Seller: Books From California, Simi Valley, CA, U.S.A.
Seller rating 4 out of 5 stars
paperback. Condition: Very Good. Seller Inventory # mon0003664680
Quantity: 1 available
Stock Image
The Foundations of Geometry and the Non-Euclidean Plane (Undergraduate Texts in Mathematics)
Seller: Ria Christie Collections, Uxbridge, United Kingdom
Seller rating 5 out of 5 stars
Condition: New. In. Seller Inventory # ria9781461257271_new
Quantity: Over 20 available
Seller Image
The Foundations of Geometry and the Non-Euclidean Plane
Published by
Springer New York Dez 2011, 2011
ISBN 10: 1461257271
ISBN 13: 9781461257271
New
Taschenbuch
Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germany
Seller rating 5 out of 5 stars
Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book is a text for junior, senior, or first-year graduate courses traditionally titled Foundations of Geometry and/or Non Euclidean Geometry. The first 29 chapters are for a semester or year course on the foundations of geometry. The remaining chap ters may then be used for either a regular course or independent study courses. Another possibility, which is also especially suited for in-service teachers of high school geometry, is to survey the the fundamentals of absolute geometry (Chapters 1 -20) very quickly and begin earnest study with the theory of parallels and isometries (Chapters 21 -30). The text is self-contained, except that the elementary calculus is assumed for some parts of the material on advanced hyperbolic geometry (Chapters 31 -34). There are over 650 exercises, 30 of which are 10-part true-or-false questions. A rigorous ruler-and-protractor axiomatic development of the Euclidean and hyperbolic planes, including the classification of the isometries of these planes, is balanced by the discussion about this development. Models, such as Taxicab Geometry, are used exten sively to illustrate theory. Historical aspects and alternatives to the selected axioms are prominent. The classical axiom systems of Euclid and Hilbert are discussed, as are axiom systems for three and four-dimensional absolute geometry and Pieri's system based on rigid motions. The text is divided into three parts. The Introduction (Chapters 1 -4) is to be read as quickly as possible and then used for ref erence if necessary. 532 pp. Englisch. Seller Inventory # 9781461257271
Quantity: 2 available
Stock Image
The Foundations of Geometry and the Non-Euclidean Plane
Published by
Springer-Verlag New York Inc., 2011
ISBN 10: 1461257271
ISBN 13: 9781461257271
New
Paperback / softback
Seller: THE SAINT BOOKSTORE, Southport, United Kingdom
Seller rating 5 out of 5 stars
Paperback / softback. Condition: New. This item is printed on demand. New copy - Usually dispatched within 5-9 working days 779. Seller Inventory # C9781461257271
Quantity: Over 20 available
Seller Image
The Foundations of Geometry and the Non-Euclidean Plane
Seller: moluna, Greven, Germany
Seller rating 4 out of 5 stars
Condition: New. Seller Inventory # 4188901
Quantity: Over 20 available
Seller Image
The Foundations of Geometry and the Non-Euclidean Plane
Published by
Springer New York, Springer New York, 2011
ISBN 10: 1461257271
ISBN 13: 9781461257271
New
Taschenbuch
Seller: AHA-BUCH GmbH, Einbeck, Germany
Seller rating 5 out of 5 stars
Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book is a text for junior, senior, or first-year graduate courses traditionally titled Foundations of Geometry and/or Non Euclidean Geometry. The first 29 chapters are for a semester or year course on the foundations of geometry. The remaining chap ters may then be used for either a regular course or independent study courses. Another possibility, which is also especially suited for in-service teachers of high school geometry, is to survey the the fundamentals of absolute geometry (Chapters 1 -20) very quickly and begin earnest study with the theory of parallels and isometries (Chapters 21 -30). The text is self-contained, except that the elementary calculus is assumed for some parts of the material on advanced hyperbolic geometry (Chapters 31 -34). There are over 650 exercises, 30 of which are 10-part true-or-false questions. A rigorous ruler-and-protractor axiomatic development of the Euclidean and hyperbolic planes, including the classification of the isometries of these planes, is balanced by the discussion about this development. Models, such as Taxicab Geometry, are used exten sively to illustrate theory. Historical aspects and alternatives to the selected axioms are prominent. The classical axiom systems of Euclid and Hilbert are discussed, as are axiom systems for three and four-dimensional absolute geometry and Pieri's system based on rigid motions. The text is divided into three parts. The Introduction (Chapters 1 -4) is to be read as quickly as possible and then used for ref erence if necessary. Seller Inventory # 9781461257271
Quantity: 1 available
Seller Image
The Foundations of Geometry and the Non-Euclidean Plane
Published by
Springer New York, Springer New York Dez 2011, 2011
ISBN 10: 1461257271
ISBN 13: 9781461257271
New
Taschenbuch
Seller: buchversandmimpf2000, Emtmannsberg, BAYE, Germany
Seller rating 5 out of 5 stars
Taschenbuch. Condition: Neu. Neuware -This book is a text for junior, senior, or first-year graduate courses traditionally titled Foundations of Geometry and/or Non Euclidean Geometry. The first 29 chapters are for a semester or year course on the foundations of geometry. The remaining chap ters may then be used for either a regular course or independent study courses. Another possibility, which is also especially suited for in-service teachers of high school geometry, is to survey the the fundamentals of absolute geometry (Chapters 1 -20) very quickly and begin earnest study with the theory of parallels and isometries (Chapters 21 -30). The text is self-contained, except that the elementary calculus is assumed for some parts of the material on advanced hyperbolic geometry (Chapters 31 -34). There are over 650 exercises, 30 of which are 10-part true-or-false questions. A rigorous ruler-and-protractor axiomatic development of the Euclidean and hyperbolic planes, including the classification of the isometries of these planes, is balanced by the discussion about this development. Models, such as Taxicab Geometry, are used exten sively to illustrate theory. Historical aspects and alternatives to the selected axioms are prominent. The classical axiom systems of Euclid and Hilbert are discussed, as are axiom systems for three and four-dimensional absolute geometry and Pieri's system based on rigid motions. The text is divided into three parts. The Introduction (Chapters 1 -4) is to be read as quickly as possible and then used for ref erence if necessary.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 532 pp. Englisch. Seller Inventory # 9781461257271
Quantity: 2 available
Stock Image
The Foundations of Geometry and the Non-Euclidean Plane
Print on DemandSeller: Majestic Books, Hounslow, United Kingdom
Seller rating 5 out of 5 stars
Condition: New. Print on Demand pp. 532 274 Illus. Seller Inventory # 94891376
Quantity: 4 available
Stock Image
The Foundations of Geometry and the Non-Euclidean Plane
Seller: Biblios, Frankfurt am main, HESSE, Germany
Seller rating 5 out of 5 stars
Condition: New. Seller Inventory # 1897538725
Quantity: 4 available
Stock Image
The Foundations of Geometry and the Non-Euclidean Plane (Undergraduate Texts in Mathematics)
Seller: Mispah books, Redhill, SURRE, United Kingdom
Seller rating 4 out of 5 stars
Paperback. Condition: Like New. Like New. book. Seller Inventory # ERICA77314612572716
Quantity: 1 available