Algebra and Geometry

Alan F. Beardon

336 pages, parution le 27/05/2005

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Résumé

Describing two cornerstones of mathematics, this basic textbook presents a unified approach to algebra and geometry. It covers the ideas of complex numbers, scalar and vector products, determinants, linear algebra, group theory, permutation groups, symmetry groups and aspects of geometry including groups of isometries, rotations, and spherical geometry. The book emphasises the interactions between topics, and each topic is constantly illustrated by using it to describe and discuss the others. Many ideas are developed gradually, with each aspect presented at a time when its importance becomes clearer. To aid in this, the text is divided into short chapters, each with exercises at the end. The related website features an HTML version of the book, extra text at higher and lower levels, and more exercises and examples. It also links to an electronic maths thesaurus, giving definitions, examples and links both to the book and to external sources.

Unified approach gives students a better insight into the subjects
For ease of use, the text is divided into small chapters with exercises at the end of each
Supporting website contains enhanced electronic version of the text

Sommaire

Groups and permutations
The real numbers
The complex plane
Vectors in three-dimensional space
Spherical geometry
Quaternions and isometries
Vector spaces
Linear equations
Matrices
Eigenvectors
Orthonormal bases of Euclidean space
Groups
The Möbius group
Group actions
Hyperbolic geometry

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	PAPIER
Éditeur(s)	Springer
Auteur(s)	Alan F. Beardon
Parution	27/05/2005
Nb. de pages	336
Format	15 x 22,5
Couverture	Broché
Poids	550g
Intérieur	Noir et Blanc
EAN13	9780521890496
ISBN13	978-0-521-89049-6