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A Vector Space Approach to Geometry by Hausner, Melvin
by Hausner, Melvin | PB | VeryGood
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“May have limited writing in cover pages. Pages are unmarked. ~ ThriftBooks: Read More, Spend ”... Read moreabout condition
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Located in: Aurora, Illinois, United States
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eBay item number:145216105355
Item specifics
- Condition
- Very good
- Seller notes
- Binding
- Paperback
- Weight
- 1 lbs
- Product Group
- Book
- IsTextBook
- No
- ISBN
- 9780486404523
- Publication Year
- 2010
- Series
- Dover Books on Mathematics Ser.
- Type
- Textbook
- Format
- Trade Paperback
- Language
- English
- Publication Name
- Vector Space Approach to Geometry
- Item Length
- 8.5in
- Publisher
- Dover Publications, Incorporated
- Item Width
- 5.4in
- Item Weight
- 15.9 Oz
- Number of Pages
- 416 Pages
About this product
Product Information
This examination of geometry's correlation with other branches of math and science features a review of systematic geometric motivations in vector space theory and matrix theory; more. 1965 edition.
Product Identifiers
Publisher
Dover Publications, Incorporated
ISBN-10
0486404528
ISBN-13
9780486404523
eBay Product ID (ePID)
1133713
Product Key Features
Publication Name
Vector Space Approach to Geometry
Format
Trade Paperback
Language
English
Publication Year
2010
Series
Dover Books on Mathematics Ser.
Type
Textbook
Number of Pages
416 Pages
Dimensions
Item Length
8.5in
Item Width
5.4in
Item Weight
15.9 Oz
Additional Product Features
Lc Classification Number
Qa564.H3 1998
Edition Description
Unabridged Edition
Table of Content
1. The Center of Mass 1.1 Introduction 1.2 Some Physical Assumptions and Conventions 1.3 Physical Motivations in Geometry 1.4 Further Physical Motivations 1.5 An Axiomatic characterization of Center of Mass 1.6 An Algebraic Attack on Geometry 1.7 Painting a Triangle 1.8 Barycentric Coordinates 1.9 Some Algebraic Anticipation 1.10 Affine Geometry 2. Vector Algebra 2.1 Introduction 2.2 The Definition of Vector 2.3 Vector Addition 2.4 Scalar Multiplication 2.5 Physical and Other Applications 2.6 Geometric Applications 2.7 A Vector Approach to the Center of Mass 3. Vector Spaces and Subspaces 3.1 Introduction 3.2 Vector Spaces 3.3 Independence and Dimension 3.4 Some Examples of Vector Spaces: Coordinate Geometry 3.5 Further Examples 3.6 Affine Subspaces 3.7 Some Separation Theorems 3.8 Some Collinearity and Concurrence Theorems 3.9 The Invariance of Dimension 4. Length and Angle 4.1 Introduction 4.2 Geometric Definition of the Inner Product 4.3 Proofs Involving the Inner Product 4.4 The Metrix Axioms 4.5 Some Analytic Geometry 4.6 Orthogonal Subspaces 4.7 Skew Coordinates 5. Miscellaneous Applications 5.1 Introduction 5.2 The Method of Orthogonal Projections 5.3 Linear Equations: Three Views 5.4 A Useful Formula 5.5 Motion 5.6 A Minimum Principle 5.7 Function Spaces 6. Area and Volume 6.1 Introduction 6.2 Area in the Plane: An Axiom System 6.3 Area in the Plane: A Vector Formulation 6.4 Area of Polygons 6.5 Further Examples 6.6 Volumes in 3-Space 6.7 Area Equals Base Times Height 6.8 The Vector Product 6.9 Vector Areas 7. Further Generalizations 7.1 Introduction 7.2 Determinants 7.3 Some Theorems on Determinants 7.4 Even and Odd Permutations 7.5 Outer Products in n-Space 7.6 Some Topology 7.7 Areas of Curved Figures 8. Matrices and Linear Transformations 8.1 Introduction 8.2 Some Examples 8.3 Affine and Linear Transformations 8.4 The Matrix of a Linear Transformation 8.5 The Matrix of an Affine Transformation 8.6 Translations and Dilatations 8.7 The Reduction of an Affine Transformation to a Linear One 8.8 A Fixed Point Theorem with Probabilistic Implications 9. Area and Metric Considerations 9.1 Introduction 9.2 Determinants 9.3 Applications to Analytic Geometry 9.4 Orthogonal and Euclidean Transformations 9.5 Classification of Motions of the Plane 9.6 Classification of Motions of 3-Space 10. The Algebra of Matrices 10.1 Introduction 10.2 Multiplication of Matrices 10.3 Inverses 10.4 The Algebra of Matrices 10.5 Eigenvalues and Eigenvectors 10.6 Some Applications 10.7 Projections and Reflections 11. Groups 11.1 Introduction 11.2 Definitions and Examples 11.3 The "Erlangen Program" 11.4 Symmetry 11.5 Physical Applications of Symmetry 11.6 Abstract Groups Index
Target Audience
College Audience
Topic
Geometry / General, Geometry / Algebraic, Vector Analysis
Lccn
98-024686
Dewey Decimal
516.3/5
Dewey Edition
23
Illustrated
Yes
Genre
Mathematics
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