Linear Algebra with Applications

Valutazione media 3,43
( su 7 valutazioni fornite da Goodreads )
 
9780070922778: Linear Algebra with Applications
Vedi tutte le copie di questo ISBN:
 
 

W. Keith Nicholson's "Linear Algebra with Applications, Fifth Canadian Edition" is written for first and second year students at both the college or university level. Its real world approach challenges students step-by-step, gradually bringing them to a higher level of understanding from abstract to more general concepts. Real world applications have been added to the new edition, including: Directed graphs; Google PageRank; Computer graphics; Correlation and Variance; and Finite Fields and Linear Codes.In addition to the new applications, the author offers several new exercises and examples throughout each chapter. Some new examples include: motivating matrix multiplication (Chapter 2) and a new way to expand a linearly independent set to a basis using an existing basis. While some instructors will use the text for one semester, ending at Chapter 5 The Vector Space Rn others will continue with more abstract concepts being introduced. Chapter 5 prepares students for the transition, acting as the "bridging" chapter, allowing challenging concepts like subspaces, spanning, independence and dimension to be assimilated first in the concrete context of Rn. This "bridging" concept eases students into the introduction of vector spaces in Chapter 6.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

L'autore:

Dr. W. Keith Nicholson earned his undergraduate Degree in Applied Mathematics at the University of Alberta, and received his Ph.D. in Pure Mathematics from the University of California at Santa Barbara in 1970. He then moved to the University of Calgary, and has been a professor in the Department of Mathematics and Statistics since 1979, where he has been carrying out research in a branch of algebra called "Ring Theory". His continuing interest in teaching undergraduate students has led to another book in Linear Algebra (now in its third edition), a text in Abstract Algebra (second edition), and the creation (with Professor Claude Laflamme), of an internet tutorial for Linear Algebra called ILAW (Interactive Linear Algebra on the Web). Keith is married and has two grown sons. 

Contenuti:

Chapter 1 Systems of Linear Equations

1.1 Solutions and Elementary Operations

1.2 Gaussian Elimination

1.3 Homogeneous Equations

1.4 An Application to Network Flow

1.5 An Application to Electrical Networks

1.6 An Application to Chemical Reactions

Supplementary Exercises for Chapter 1

Chapter 2 Matrix Algebra

2.1 Matrix Addition, Scalar Multiplication, and Transposition

2.2 Matrix Multiplication

2.3 Matrix Inverses

2.4 Elementary Matrices

2.5 Matrix Transformations

2.6 LU-Factorization

2.7 An Application to Input-Output Economic Models

2.8 An Application to Markov Chains

Supplementary Exercises for Chapter 2

Chapter 3 Determinants and Diagonalization

3.1 The Cofactor Expansion

3.2 Determinants and Matrix Inverses

3.3 Diagonalization and Eigenvalues

3.5 An Application to Linear Recurrences

3.6 An Application to Population Growth

3.7 Proof of the Cofactor Expansion

Supplementary Exercises for Chapter 3

Chapter 4 Vector Geometry

4.1 Vectors and Lines

4.2 Projections and Planes

4.3 The Cross Product

4.4 Matrix Transformations II

4.5 An Application to Computer Graphics

Supplementary Exercises for Chapter 4

Chapter 5 The Vector Space Rn

5.1 Subspaces and Spanning

5.2 Independence and Dimension

5.3 Orthogonality

5.4 Rank of a Matrix

5.5 Similarity and Diagonalization

5.6 An Application to Correlation and Variance

5.7 An Application to Least Squares Approximation

Supplementary Exercises for Chapter 5

Chapter 6 Vector Spaces

6.1 Examples and Basic Properties

6.2 Subspaces and Spanning Sets

6.3 Linear Independence and Dimension

6.4 Finite Dimensional Spaces

6.5 An Application to Polynomials

6.6 An Application to Differential Equations

Supplementary Exercises for Chapter 6

Chapter 7 Linear Transformations

7.1 Examples and Elementary Properties

7.2 Kernel and Image of a Linear Transformation

7.3 Isomorphisms and Composition

7.4 More on Linear Recurrences

Chapter 8 Orthogonality

8.1 Orthogonal Complements and Projections

8.2 Orthogonal Diagonalization

8.3 Positive Definite Matrices

8.4 QR-Factorization

8.5 Computing Eigenvalues

8.6 Complex Matrices

8.7 Best Approximation and Least Squares

8.8 Finite Fields and Linear Codes

8.9 An Application to Quadratic Forms

8.10 An Application to Systems of Differential Equations

Chapter 9 Change of Basis

9.1 The Matrix of a Linear Transformation

9.2 Operators and Similarity

9.3 Invariant Subspaces and Direct Sums

9.4 Block Triangular Form

*9.5 Jordan Canonical Form

Chapter 10 Inner Product Spaces

10.1 Inner Products and Norms

10.2 Orthogonal Sets of Vectors

10.3 Orthogonal Diagonalization

10.4 Isometries

10.5 An Application to Fourier Approximation

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

Altre edizioni note dello stesso titolo

9781259066405: LINEAR ALGEBRA-W/APPL.+ACCESS>CANADIAN<

Edizione in evidenza

ISBN 10: 1259066401 ISBN 13: 9781259066405
Rilegato

I migliori risultati di ricerca su AbeBooks

Foto dell'editore

1.

Nicholson, Keith
ISBN 10: 0070922772 ISBN 13: 9780070922778
Nuovo Rilegato Quantità: 1
Da
ABC
(Saint Louis, MO, U.S.A.)
Valutazione libreria

Descrizione libro Hardcover. Condizione: Brand New. New. Codice articolo DH29pg301to675-49036

Informazioni sul venditore | Contattare il venditore

Compra nuovo
EUR 45,75
Convertire valuta

Aggiungere al carrello

Spese di spedizione: GRATIS
In U.S.A.
Destinazione, tempi e costi
Foto dell'editore

2.

Nicholson, Keith
ISBN 10: 0070922772 ISBN 13: 9780070922778
Nuovo Rilegato Quantità: 1
Da
ABC
(Saint Louis, MO, U.S.A.)
Valutazione libreria

Descrizione libro Hardcover. Condizione: Brand New. New. Codice articolo DH29pg1222to1521-35293

Informazioni sul venditore | Contattare il venditore

Compra nuovo
EUR 45,75
Convertire valuta

Aggiungere al carrello

Spese di spedizione: GRATIS
In U.S.A.
Destinazione, tempi e costi
Foto dell'editore

3.

Nicholson, Keith
ISBN 10: 0070922772 ISBN 13: 9780070922778
Nuovo Quantità: 1
Da
BennettBooksLtd
(San Diego, CA, U.S.A.)
Valutazione libreria

Descrizione libro Condizione: New. New. Codice articolo E-0070922772

Informazioni sul venditore | Contattare il venditore

Compra nuovo
EUR 75,01
Convertire valuta

Aggiungere al carrello

Spese di spedizione: EUR 4,23
In U.S.A.
Destinazione, tempi e costi
Foto dell'editore

4.

Nicholson, Keith
ISBN 10: 0070922772 ISBN 13: 9780070922778
Nuovo Quantità: 1
Da
BennettBooksLtd
(San Diego, CA, U.S.A.)
Valutazione libreria

Descrizione libro Condizione: New. New. Codice articolo S-0070922772

Informazioni sul venditore | Contattare il venditore

Compra nuovo
EUR 75,01
Convertire valuta

Aggiungere al carrello

Spese di spedizione: EUR 4,23
In U.S.A.
Destinazione, tempi e costi