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Book Freeshipping Linear Algebra 2nd Ed English, Photo-engraving Ed

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book freeshipping linear algebra 2nd ed english photo engraving
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Linear Algebra (2nd Ed) (English, Photo-engraving Ed), by Kenneth Hoffiman, Chinese, Paperback, 2008



Author Kenneth Hoffiman

Press Beijing World Publishing Corporation

Isbn 7506291797/9787506291798

Publication Date Aug 2008

Pages 407

Size 24k

Edition First

Cover Paperback

Language Chinese

Page material gelatine plate paper

Product Description:

This book is the second version of Linear Algebra by Kenneth Hoffman. Some increases and improvements are made on the basis of the first edition, especially in the description of example and inner space. Beginning with the basic knowledge of Linear Algebra, the writer introduces model type, inner space, double linear model, complex inner space and spectrum theory. This book suits beginners of Linear Algebra.


Chapter 1. Linear Equations

1.1. Fields

1.2. Systems of Linear Equations

1.3. Matrices and Elementary Row Operations

1.4. Row-Reduced Echelon Matrices

1.5. Matrix Multiplication

1.6. Invertible Matrices

Chapter 2. Vector Spaces

2.1. Vector Spaces

2.2. Subspaces

2.3. Bases and Dimension

2.4. Coordinates

2.5. Summary of Row-Equivalence

2.6. Computations Concerning Subspaces

Chapter 3. Linear Transformations

3.1. Linear Transformations

3.2. The Algebra of Linear Transformations

3.3. Isomorphism

3.4. Representation of Transformations by Matrices

3.5. Linear Functionals

3.6. The Double Dual

3.7. The Transpose of a Linear Transformation

Chapter 4. Polynomials

4.1. Algebras

4.2. The Algebra of Polynomials

4.3. Lagrange Interpolation

4.4. Polynomial Ideals

4.5. The Prime Factorization of a Polynomial

Chapter 5. Determinants

5.1. Commutative Rings

5.2. Determinant Functions

5.3. Permutations and the Uniqueness of Determinants

5.4. Additional Properties of Determinants

5.5. Modules

5.6. Multilinear Functions

5.7. The Grassman Ring

Chapter 6. Elementary Canonical Forms

6.1. Introduction

6.2. Characteristic Values

6.3. .Annihilating Polynomials

6.4. Invariant Subspaces

6.5. simultaneous Triangulation; Simultaneous Diagonalization

6.6. Direct-Sum Decompositions

6.7. Invarlant Direct Sums

6.8. The Primary Decomposition Theorem

Chapter 7. The Rational and Jordan Forms

7.1. Cyclic Subspaces and Annihilators

7.2. Cyclic Decompositions and the Rational Form

7.3. The Jordan Form

7.4. Computation of Invarlant Factors

7.5. Summary; Semi-Simple Operators

Chapter 8. Inner Product Spaces

8.1. Inner Products

8.2. Inner Product Spaces

8.3. Linear Functional] and Adjoints

8.4. Unitary Operators

8.5. Normal Operators

Chapter 9. Operators on Inner Product Spaces

9.1. Introduction

9.2. Forms on Inner Product Spaces

9.3. Positive Forms

9.4. More on Forms

9.5. Spectral Theory

9.6. Further Properties of Normal Operators

Chapter 10. Bilinear Forms

10.1. Bilinear Forms

10.2. Symmetric Bilinear Forms

10.3. Skew-SymmetricBilinear Forms

10.4 Groups Preserving Bilinear Forms


A.1. Sets

A.2. Functions

A.3. Equivalence Relations

A.4. Quotient Spaces

A.5. Equivalence Relations in Linear Algebra

A.6. The Axiom of Choice




Our original purpose in writing this book was to provide a text for the undergraduate linear algebra course at the Massachusetts Institute of Technology. This course was designed for mathematics majors at the junior level.

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