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25 Remote Warehouse Mathematics- Linear Algebra

Affine Maps, Euclidean Motions and Quadrics (Springer Undergraduate Mathematics)

by

Affine Maps, Euclidean Motions and Quadrics (Springer Undergraduate Mathematics) Cover

 

Synopses & Reviews

Publisher Comments:

Affine geometry and quadrics are fascinating subjects alone, but they are also important applications of linear algebra. They give a first glimpse into the world of algebraic geometry yet they are equally relevant to a wide range of disciplines such as engineering. This text discusses and classifies affinities and Euclidean motions culminating in classification results for quadrics. A high level of detail and generality is a key feature unmatched by other books available. Such intricacy makes this a particularly accessible teaching resource as it requires no extra time in deconstructing the author's reasoning. The provision of a large number of exercises with hints will help students to develop their problem solving skills and will also be a useful resource for lecturers when setting work for independent study. Affinities, Euclidean Motions and Quadrics takes rudimentary, and often taken-for-granted, knowledge and presents it in a new, comprehensive form. Standard and non-standard examples are demonstrated throughout and an appendix provides the reader with a summary of advanced linear algebra facts for quick reference to the text. All factors combined, this is a self-contained book ideal for self-study that is not only foundational but unique in its approach.' This text will be of use to lecturers in linear algebra and its applications to geometry as well as advanced undergraduate and beginning graduate students.

Synopsis:

This text discusses and classifies affinities and Euclidean motions culminating in classification results for quadrics. It features standard and non-standard examples and an appendix that provides the reader with a summary of advanced linear algebra facts.

Table of Contents

Affine Spaces.- Affinities.- Classification of Affinities.- Classification of Affinities in Arbitrary Dimension.- Euclidean Affine Spaces.- Euclidean motions.- Euclidean Motions of the Line, the Plane and of Space.- Affine Classification of Real Quadrics.- Orthogonal Classification of Quadrics.- Appendices.

Product Details

ISBN:
9780857297099
Author:
Tarrida, Agusti Reventos
Publisher:
Springer
Author:
Agust Revent"s Tarrida
Author:
Revent?'s Tarrida, Agust
Author:
Revent"s Tarrida, Agust
Author:
Reventós Tarrida, Agustí
Author:
Agustí Reventós Tarrida
Subject:
General Mathematics
Subject:
affine Geometry
Subject:
bilinear maps
Subject:
Conics
Subject:
Euclidean Geometry
Subject:
euclidean motions
Subject:
homologies
Subject:
isometries
Subject:
Quadratic Forms
Subject:
Quadrics.
Subject:
Mathematics - General
Subject:
Algebra
Subject:
Algebra <p>Thorough treatment of affine geometry and quadrics </p><p>A useful resource for lecturers in linear algebra and geometry </p><p>Provides an high level of detail and generality that is unmatched by other texts available </p><p>An extensive numbe
Subject:
Mathematics - Algebra
Subject:
Mathematics-Linear Algebra
Copyright:
Edition Description:
2011
Series:
Springer Undergraduate Mathematics Series
Publication Date:
20110325
Binding:
TRADE PAPER
Language:
English
Pages:
476
Dimensions:
235 x 155 mm

Related Subjects

Engineering » Engineering » General Engineering
Science and Mathematics » Mathematics » Algebra » General
Science and Mathematics » Mathematics » Algebra » Linear Algebra
Science and Mathematics » Mathematics » Geometry » Algebraic Geometry

Affine Maps, Euclidean Motions and Quadrics (Springer Undergraduate Mathematics) New Trade Paper
0 stars - 0 reviews
$56.95 In Stock
Product details 476 pages Springer - English 9780857297099 Reviews:
"Synopsis" by , This text discusses and classifies affinities and Euclidean motions culminating in classification results for quadrics. It features standard and non-standard examples and an appendix that provides the reader with a summary of advanced linear algebra facts.
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