This book develops the geometric intuition of the reader by examining the symmetries of the space in question. This approach introduces in turn all the classical geometries: Euclidean, affine, elliptic, projective and hyperbolic. Pre-requisites are calculus, linear algebra and basic analytic geometry. Num Pages: 220 pages, biography. BIC Classification: PBM. Category: (UU) Undergraduate. Dimension: 244 x 170 x 12. Weight in Grams: 830. . 2007. Paperback. . . . . Books ship from the US and Ireland.

Bestandsnummer des Verk�ufers V9783764375171

Verk�ufer kontaktieren

Diesen Artikel melden

Bibliografische Details

Titel: Introduction to Classical Geometries
Verlag: Birkhauser Verlag AG
Erscheinungsjahr: 2007
Sprache: Englisch
ISBN-10: 3764375175
ISBN-13: 9783764375171
Einband: Softcover
Zustand: New

�ber diesen Titel

Inhaltsangabe

This book develops the geometric intuition of the reader by examining the symmetries (or rigid motions) of the space in question. This approach introduces in turn all the classical geometries: Euclidean, affine, elliptic, projective and hyperbolic. The main focus is on the mathematically rich two-dimensional case, although some aspects of 3- or $n$-dimensional geometries are included. Basic notions of algebra and analysis are used to convey better understanding of various concepts and results. Concepts of geometry are presented in a very simple way, so that they become easily accessible: the only pre-requisites are calculus, linear algebra and basic analytic geometry.

Von der hinteren Coverseite

This book follows Felix Klein s proposal of studying geometry by looking at the symmetries (or rigid motions) of the space in question. In this way the classical geometries are studied: Euclidean, affine, elliptic, projective and hyperbolic. For simplicity the focus is on the two-dimensional case, which is already rich enough, though some aspects of the 3- or n-dimensional geometries are included. Once plane geometry is well understood, it is much easier to go into higher dimensions.

The fundamental ideas of the classical geometries are presented in a clear and elementary way, making them accessible to a wide audience, and relating them to more advanced topics in modern geometry, such as manifolds, Lie groups, the Gaussian curvature, group actions, and foliations.

The book appeals to, and develops, the geometric intuition of the reader. The only prerequisites are calculus, linear algebra and basic analytic geometry. After studying the material, the reader will have a good understanding of basic geometry as well as a clear picture of the relations of this beautiful subject to other branches of mathematics. This is supported by more than 100 carefully chosen illustrations and a large number of exercises. While mainly addressed to students at advanced undergraduate level, the text can be of interest to anyone wanting to learn classical geometry.

��ber diesen Titel� kann sich auf eine andere Ausgabe dieses Titels beziehen.

Anbieterinformationen

We carry a comprehensive range of out of print and rare books.

Zur Homepage des Verk�ufers

Unternehmensdaten des Verk�ufers

Kennys Bookshops and Art Galleries Limited
Liosban Industrial Estate, Tuam Road, Galway, GY, Ireland

Gesch�ftsbedingungen und Versandinformationen

Verkaufsbedingungen

We guarantee the condition of every book as it's described on the Abebooks websites.

If you're dissatisfied with your purchase (Incorrect Book/Not as Described/Damaged) or if the order hasn't arrived, you're eligible for a refund within 30 days of the estimated delivery date.

For any queries please use the contact seller link or send an email to books@kennys.ie

Conor Kenny

Widerrufsbelehrung

Versandbedingungen

All books securely packaged. Some books ship from Ireland.

Versandkosten innerhalb von USA

Versandkosten innerhalb von USA
Bestellmenge	14 bis 20�Werktage	13 bis 14�Werktage
Erster Artikel	EUR 9.08	EUR 18.16

Die Versandzeiten werden von den Verk�uferinnen und Verk�ufern festgelegt. Sie variieren je nach Versanddienstleister und Standort. Sendungen, die den Zoll passieren, k�nnen Verz�gerungen unterliegen. Eventuell anfallende Abgaben oder Geb�hren sind von der K�uferin bzw. dem K�ufer zu tragen. Die Verk�uferin bzw. der Verk�ufer kann Sie bez�glich zus�tzlicher Versandkosten kontaktieren, um einen m�glichen Anstieg der Versandkosten f�r Ihre Artikel auszugleichen.