Artículos relacionados a Geometry for College Students (Pure and Applied Undergraduat...
Sinopsis
One of the challenges many mathematics students face occurs after they complete their study of basic calculus and linear algebra, and they start taking courses where they are expected to write proofs. Historically, students have been learning to think mathematically and to write proofs by studying Euclidean geometry. In the author's opinion, geometry is still the best way to make the transition from elementary to advanced mathematics. The book begins with a thorough review of high school geometry, then goes on to discuss special points associated with triangles, circles and certain associated lines, Ceva's theorem, vector techniques of proof, and compass-and-straightedge constructions. There is also some emphasis on proving numerical formulas like the laws of sines, cosines, and tangents, Stewart's theorem, Ptolemy's theorem, and the area formula of Heron. An important difference of this book from the majority of modern college geometry texts is that it avoids axiomatics. The students using this book have had very little experience with formal mathematics. Instead, the focus of the course and the book is on interesting theorems and on the techniques that can be used to prove them. This makes the book suitable to second- or third-year mathematics majors and also to secondary mathematics education majors, allowing the students to learn how to write proofs of mathematical results and, at the end, showing them what mathematics is really all about.
"Sinopsis" puede pertenecer a otra edición de este libro.
Críticas
. . . A very useful and needed book for the course . . . The tone is exactly on target . . . The proofs are always clear and the level of rigor is the right one: always clear, never hiding the issues, never condescending . . . Many geometry books emphasize axioms giving students the impression that mathematics is a perverse game which tries to make the obvious difficult. This impression is definitely the wrong one to come away with for a future high school teacher. Hence, I agree with the author wholeheartedly that 'separation axioms, ' 'Hilbert axioms, ' and other late work on the foundations of geometry should be given at most a passing mention in such a course . . . This book promises to be a useful tool to teach prospective high school mathematics teachers what mathematics is all about.
Reseña del editor
One of the challenges many mathematics students face occurs after they complete their study of basic calculus and linear algebra, and they start taking courses where they are expected to write proofs. Historically, students have been learning to think mathematically and to write proofs by studying Euclidean geometry. In the author's opinion, geometry is still the best way to make the transition from elementary to advanced mathematics. The book begins with a thorough review of high school geometry, then goes on to discuss special points associated with triangles, circles and certain associated lines, Ceva's theorem, vector techniques of proof, and compass-and-straightedge constructions. There is also some emphasis on proving numerical formulas like the laws of sines, cosines, and tangents, Stewart's theorem, Ptolemy's theorem, and the area formula of Heron. An important difference of this book from the majority of modern college geometry texts is that it avoids axiomatics. The students using this book have had very little experience with formal mathematics. Instead, the focus of the course and the book is on interesting theorems and on the techniques that can be used to prove them. This makes the book suitable to second- or third-year mathematics majors and also to secondary mathematics education majors, allowing the students to learn how to write proofs of mathematical results and, at the end, showing them what mathematics is really all about.
"Sobre este título" puede pertenecer a otra edición de este libro.
EUR 52,12
EUR 17,03 gastos de envío desde Estados Unidos de America a España
Destinos, gastos y plazos de envíoComprar nuevo
Ver este artículo
EUR 71,47
EUR 17,03 gastos de envío desde Estados Unidos de America a España
Destinos, gastos y plazos de envíoResultados de la búsqueda para Geometry for College Students (Pure and Applied Undergraduat...
Imagen del vendedor
Geometry for College Students
Publicado por
American Mathematical Society, 2009
ISBN 10: 0821847945
ISBN 13: 9780821847947
Antiguo o usado
Tapa dura
Librería: GreatBookPrices, Columbia, MD, Estados Unidos de America
Calificación del vendedor: 5 de 5 estrellas
Condición: good. May show signs of wear, highlighting, writing, and previous use. This item may be a former library book with typical markings. No guarantee on products that contain supplements Your satisfaction is 100% guaranteed. Twenty-five year bookseller with shipments to over fifty million happy customers. Nº de ref. del artículo: 6219212-5
Cantidad disponible: 5 disponibles
Imagen del vendedor
Geometry for College Students
Publicado por
American Mathematical Society, 2009
ISBN 10: 0821847945
ISBN 13: 9780821847947
Nuevo
Tapa dura
Librería: GreatBookPrices, Columbia, MD, Estados Unidos de America
Calificación del vendedor: 5 de 5 estrellas
Condición: New. Nº de ref. del artículo: 6219212-n
Cantidad disponible: 3 disponibles
Imagen de archivo
Geometry for College Students (Pure and Applied Undergraduate Texts) (Pure and Applied Undergraduate Texts, 8)
Publicado por
American Mathematical Society, 2009
ISBN 10: 0821847945
ISBN 13: 9780821847947
Antiguo o usado
Tapa dura
Librería: Textbooks_Source, Columbia, MO, Estados Unidos de America
Calificación del vendedor: 5 de 5 estrellas
hardcover. Condición: Good. Ships in a BOX from Central Missouri! May not include working access code. Will not include dust jacket. Has used sticker(s) and some writing or highlighting. UPS shipping for most packages, (Priority Mail for AK/HI/APO/PO Boxes). Nº de ref. del artículo: 000950624U
Cantidad disponible: 8 disponibles
Imagen del vendedor
Geometry for College Students
Publicado por
American Mathematical Society, 2009
ISBN 10: 0821847945
ISBN 13: 9780821847947
Antiguo o usado
Tapa dura
Librería: GreatBookPrices, Columbia, MD, Estados Unidos de America
Calificación del vendedor: 5 de 5 estrellas
Condición: As New. Unread book in perfect condition. Nº de ref. del artículo: 6219212
Cantidad disponible: 3 disponibles
Imagen de archivo
Geometry for College Students (Pure and Applied Undergraduate Texts) (Pure and Applied Undergraduate Texts, 8)
Publicado por
American Mathematical Society (edition ), 2009
ISBN 10: 0821847945
ISBN 13: 9780821847947
Antiguo o usado
Tapa dura
Librería: BooksRun, Philadelphia, PA, Estados Unidos de America
Calificación del vendedor: 5 de 5 estrellas
Hardcover. Condición: Good. It's a preowned item in good condition and includes all the pages. It may have some general signs of wear and tear, such as markings, highlighting, slight damage to the cover, minimal wear to the binding, etc., but they will not affect the overall reading experience. Nº de ref. del artículo: 0821847945-11-1
Cantidad disponible: 2 disponibles
Imagen de archivo
Geometry for College Students (Pure and Applied Undergraduate Texts) (Pure and Applied Undergraduate Texts, 8)
Publicado por
American Mathematical Society (edition ), 2009
ISBN 10: 0821847945
ISBN 13: 9780821847947
Antiguo o usado
Tapa dura
Librería: BooksRun, Philadelphia, PA, Estados Unidos de America
Calificación del vendedor: 5 de 5 estrellas
Hardcover. Condición: Fair. The item might be beaten up but readable. May contain markings or highlighting, as well as stains, bent corners, or any other major defect, but the text is not obscured in any way. Nº de ref. del artículo: 0821847945-7-1
Cantidad disponible: 1 disponibles
Imagen del vendedor
Geometry for College Students
Publicado por
American Mathematical Society, 2009
ISBN 10: 0821847945
ISBN 13: 9780821847947
Antiguo o usado
Tapa dura
Librería: GreatBookPricesUK, Woodford Green, Reino Unido
Calificación del vendedor: 5 de 5 estrellas
Condición: As New. Unread book in perfect condition. Nº de ref. del artículo: 6219212
Cantidad disponible: 3 disponibles
Imagen de archivo
Geometry for College Students (Pure and Applied Undergraduate Texts) (Pure and Applied Undergraduate Texts, 8)
Publicado por
Brand: American Mathematical Society, 2009
ISBN 10: 0821847945
ISBN 13: 9780821847947
Nuevo
Tapa dura
Librería: GoldBooks, Denver, CO, Estados Unidos de America
Calificación del vendedor: 5 de 5 estrellas
Condición: new. Nº de ref. del artículo: 88S35_66_0821847945
Cantidad disponible: 1 disponibles
Imagen del vendedor
Geometry for College Students
Publicado por
American Mathematical Society, 2009
ISBN 10: 0821847945
ISBN 13: 9780821847947
Antiguo o usado
Tapa dura
Librería: GreatBookPricesUK, Woodford Green, Reino Unido
Calificación del vendedor: 5 de 5 estrellas
Condición: good. May show signs of wear, highlighting, writing, and previous use. This item may be a former library book with typical markings. No guarantee on products that contain supplements Your satisfaction is 100% guaranteed. Twenty-five year bookseller with shipments to over fifty million happy customers. Nº de ref. del artículo: 6219212-5
Cantidad disponible: 5 disponibles
Imagen de archivo
Geometry for College Students (Pure and Applied Undergraduate Texts) (Pure and Applied Undergraduate Texts, 8)
Publicado por
American Mathematical Society, 2009
ISBN 10: 0821847945
ISBN 13: 9780821847947
Nuevo
Tapa dura
Librería: Textbooks_Source, Columbia, MO, Estados Unidos de America
Calificación del vendedor: 5 de 5 estrellas
hardcover. Condición: New. Ships in a BOX from Central Missouri! UPS shipping for most packages, (Priority Mail for AK/HI/APO/PO Boxes). Nº de ref. del artículo: 000950624N
Cantidad disponible: 1 disponibles