Artículos relacionados a Geometry: Euclid and Beyond (Undergraduate Texts in...
Sinopsis
In recent years, I have been teaching a junior-senior-level course on the classi cal geometries. This book has grown out of that teaching experience. I assume only high-school geometry and some abstract algebra. The course begins in Chapter 1 with a critical examination of Euclid's Elements. Students are expected to read concurrently Books I-IV of Euclid's text, which must be obtained sepa rately. The remainder of the book is an exploration of questions that arise natu rally from this reading, together with their modern answers. To shore up the foundations we use Hilbert's axioms. The Cartesian plane over a field provides an analytic model of the theory, and conversely, we see that one can introduce coordinates into an abstract geometry. The theory of area is analyzed by cutting figures into triangles. The algebra of field extensions provides a method for deciding which geometrical constructions are possible. The investigation of the parallel postulate leads to the various non-Euclidean geometries. And in the last chapter we provide what is missing from Euclid's treatment of the five Platonic solids in Book XIII of the Elements. For a one-semester course such as I teach, Chapters 1 and 2 form the core material, which takes six to eight weeks.
"Sinopsis" puede pertenecer a otra edición de este libro.
Reseña del editor
This book offers a unique opportunity to understand the essence of one of the great thinkers of western civilization. A guided reading of Euclid's Elements leads to a critical discussion and rigorous modern treatment of Euclid's geometry and its more recent descendants, with complete proofs. Topics include the introduction of coordinates, the theory of area, history of the parallel postulate, the various non-Euclidean geometries, and the regular and semi-regular polyhedra.
"Sobre este título" puede pertenecer a otra edición de este libro.
Comprar nuevo
Ver este artículo
EUR 57,90
EUR 3,43 gastos de envío en Estados Unidos de America
Destinos, gastos y plazos de envíoOtras ediciones populares con el mismo título
Resultados de la búsqueda para Geometry: Euclid and Beyond (Undergraduate Texts in...
Imagen de archivo
Geometry: Euclid and Beyond (Undergraduate Texts in Mathematics)
Librería: Books From California, Simi Valley, CA, Estados Unidos de America
Calificación del vendedor: 5 de 5 estrellas
paperback. Condición: Good. Nº de ref. del artículo: mon0003800633
Cantidad disponible: 1 disponibles
Imagen de archivo
Geometry: Euclid and Beyond (Undergraduate Texts in Mathematics)
Librería: Lucky's Textbooks, Dallas, TX, Estados Unidos de America
Calificación del vendedor: 5 de 5 estrellas
Condición: New. Nº de ref. del artículo: ABLIING23Mar2411530294737
Cantidad disponible: Más de 20 disponibles
Imagen de archivo
Geometry: Euclid and Beyond (Paperback)
Publicado por
Springer-Verlag New York Inc., New York, NY, 2010
ISBN 10: 1441931457
ISBN 13: 9781441931450
Nuevo
Paperback
Original o primera edición
Librería: Grand Eagle Retail, Bensenville, IL, Estados Unidos de America
Calificación del vendedor: 5 de 5 estrellas
Paperback. Condición: new. Paperback. In recent years, I have been teaching a junior-senior-level course on the classi cal geometries. This book has grown out of that teaching experience. I assume only high-school geometry and some abstract algebra. The course begins in Chapter 1 with a critical examination of Euclid's Elements. Students are expected to read concurrently Books I-IV of Euclid's text, which must be obtained sepa rately. The remainder of the book is an exploration of questions that arise natu rally from this reading, together with their modern answers. To shore up the foundations we use Hilbert's axioms. The Cartesian plane over a field provides an analytic model of the theory, and conversely, we see that one can introduce coordinates into an abstract geometry. The theory of area is analyzed by cutting figures into triangles. The algebra of field extensions provides a method for deciding which geometrical constructions are possible. The investigation of the parallel postulate leads to the various non-Euclidean geometries. And in the last chapter we provide what is missing from Euclid's treatment of the five Platonic solids in Book XIII of the Elements. For a one-semester course such as I teach, Chapters 1 and 2 form the core material, which takes six to eight weeks. In recent years, I have been teaching a junior-senior-level course on the classi cal geometries. Students are expected to read concurrently Books I-IV of Euclid's text, which must be obtained sepa rately. And in the last chapter we provide what is missing from Euclid's treatment of the five Platonic solids in Book XIII of the Elements. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Nº de ref. del artículo: 9781441931450
Cantidad disponible: 1 disponibles
Imagen de archivo
Geometry: Euclid and Beyond (Undergraduate Texts in Mathematics)
Librería: California Books, Miami, FL, Estados Unidos de America
Calificación del vendedor: 5 de 5 estrellas
Condición: New. Nº de ref. del artículo: I-9781441931450
Cantidad disponible: Más de 20 disponibles
Imagen del vendedor
Geometry: Euclid and Beyond
Publicado por
Springer New York, Springer US Dez 2010, 2010
ISBN 10: 1441931457
ISBN 13: 9781441931450
Nuevo
Taschenbuch
Librería: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Alemania
Calificación del vendedor: 5 de 5 estrellas
Taschenbuch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -In recent years, I have been teaching a junior-senior-level course on the classi cal geometries. This book has grown out of that teaching experience. I assume only high-school geometry and some abstract algebra. The course begins in Chapter 1 with a critical examination of Euclid's Elements. Students are expected to read concurrently Books I-IV of Euclid's text, which must be obtained sepa rately. The remainder of the book is an exploration of questions that arise natu rally from this reading, together with their modern answers. To shore up the foundations we use Hilbert's axioms. The Cartesian plane over a field provides an analytic model of the theory, and conversely, we see that one can introduce coordinates into an abstract geometry. The theory of area is analyzed by cutting figures into triangles. The algebra of field extensions provides a method for deciding which geometrical constructions are possible. The investigation of the parallel postulate leads to the various non-Euclidean geometries. And in the last chapter we provide what is missing from Euclid's treatment of the five Platonic solids in Book XIII of the Elements. For a one-semester course such as I teach, Chapters 1 and 2 form the core material, which takes six to eight weeks. 544 pp. Englisch. Nº de ref. del artículo: 9781441931450
Gastos de envío:
EUR 23,00
De Alemania a Estados Unidos de America
Destinos, gastos y plazos de envío
Cantidad disponible: 1 disponibles
Imagen de archivo
Geometry: Euclid and Beyond (Undergraduate Texts in Mathematics)
Librería: Ria Christie Collections, Uxbridge, Reino Unido
Calificación del vendedor: 5 de 5 estrellas
Condición: New. In English. Nº de ref. del artículo: ria9781441931450_new
Gastos de envío:
EUR 13,79
De Reino Unido a Estados Unidos de America
Destinos, gastos y plazos de envío
Cantidad disponible: Más de 20 disponibles
Imagen de archivo
Geometry: Euclid and Beyond
Librería: Chiron Media, Wallingford, Reino Unido
Calificación del vendedor: 4 de 5 estrellas
PF. Condición: New. Nº de ref. del artículo: 6666-IUK-9781441931450
Gastos de envío:
EUR 17,83
De Reino Unido a Estados Unidos de America
Destinos, gastos y plazos de envío
Cantidad disponible: 10 disponibles
Imagen de archivo
Geometrv
Librería: Books Puddle, New York, NY, Estados Unidos de America
Calificación del vendedor: 4 de 5 estrellas
Condición: New. pp. xii + 532. Nº de ref. del artículo: 263079984
Cantidad disponible: 4 disponibles
Imagen de archivo
Geometrv
Impresión bajo demandaLibrería: Majestic Books, Hounslow, Reino Unido
Calificación del vendedor: 5 de 5 estrellas
Condición: New. Print on Demand pp. xii + 532 550 Illus. Nº de ref. del artículo: 5849327
Gastos de envío:
EUR 7,48
De Reino Unido a Estados Unidos de America
Destinos, gastos y plazos de envío
Cantidad disponible: 4 disponibles
Imagen del vendedor
Geometry: Euclid and Beyond
Impresión bajo demandaLibrería: moluna, Greven, Alemania
Calificación del vendedor: 4 de 5 estrellas
Condición: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. This book offers a unique opportunity to understand the essence of one of the great thinkers of western civilization. A guided reading of Euclid s Elements leads to a critical discussion and rigorous modern treatment of Euclid s geometry and its more rec. Nº de ref. del artículo: 4173602
Gastos de envío:
EUR 48,99
De Alemania a Estados Unidos de America
Destinos, gastos y plazos de envío
Cantidad disponible: Más de 20 disponibles