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Linear Algebra Through Geometry

E-BookPDF1 - PDF WatermarkE-Book
308 Seiten
Englisch
Springer New Yorkerschienen am06.12.20122nd ed. 1992
This book introduces the concepts of linear algebra through the careful study of two and three-dimensional Euclidean geometry. This approach makes it possible to start with vectors, linear transformations, and matrices in the context of familiar plane geometry and to move directly to topics such as dot products, determinants, eigenvalues, and quadratic forms. The later chapters deal with n-dimensional Euclidean space and other finite-dimensional vector space.mehr
Verfügbare Formate
BuchGebunden
EUR58,80
BuchKartoniert, Paperback
EUR58,80
E-BookPDF1 - PDF WatermarkE-Book
EUR56,70

Produkt

KlappentextThis book introduces the concepts of linear algebra through the careful study of two and three-dimensional Euclidean geometry. This approach makes it possible to start with vectors, linear transformations, and matrices in the context of familiar plane geometry and to move directly to topics such as dot products, determinants, eigenvalues, and quadratic forms. The later chapters deal with n-dimensional Euclidean space and other finite-dimensional vector space.
Details
Weitere ISBN/GTIN9781461243908
ProduktartE-Book
EinbandartE-Book
FormatPDF
Format Hinweis1 - PDF Watermark
FormatE107
Erscheinungsjahr2012
Erscheinungsdatum06.12.2012
Auflage2nd ed. 1992
ReiheUndergraduate Texts in Mathematics
Seiten308 Seiten
SpracheEnglisch
IllustrationenXII, 308 p.
Artikel-Nr.8124265
Rubriken
Genre9200

Inhalt/Kritik

Inhaltsverzeichnis
1.0 Vectors in the Line.- 2.0 The Geometry of Vectors in the Plane.- 2.1 Transformations of the Plane.- 2.2 Linear Transformations and Matrices.- 2.3 Sums and Products of Linear Transformations.- 2.4 Inverses and Systems of Equations.- 2.5 Determinants.- 2.6 Eigenvalues.- 2.7 Classification of Conic Sections.- 3.0 Vector Geometry in 3-Space.- 3.1 Transformations of 3-Space.- 3.2 Linear Transformations and Matrices.- 3.3 Sums and Products of Linear Transformations.- 3.4 Inverses and Systems of Equations.- 3.5 Determinants.- 3.6 Eigenvalues.- 3.7 Symmetric Matrices.- 3.8 Classification of Quadric Surfaces.- 4.0 Vector Geometry in n-Space, n ? 4.- 4.1 Transformations of n-Space, n ? 4.- 4.2 Linear Transformations and Matrices.- 4.3 Homogeneous Systems of Equations in n-Space.- 4.4 Inhomogeneous Systems of Equations in n-Space.- 5.0 Vector Spaces.- 5.1 Bases and Dimensions.- 5.2 Existence and Uniqueness of Solutions.- 5.3 The Matrix Relative to a Given Basis.- 6.0 Vector Spaces with an Inner Product.- 6.1 Orthonormal Bases.- 6.2 Orthogonal Decomposition of a Vector Space.- 7.0 Symmetric Matrices in n Dimensions.- 7.1 Quadratic Forms in n Variables.- 8.0 Differential Systems.- 8.1 Least Squares Approximation.- 8.2 Curvature of Function Graphs.mehr