Linear Algebra Done Right / by Sheldon Axler.

By:

Axler, Sheldon [author.]

Material type: Text

TextSeries: Undergraduate Texts in MathematicsPublication details: London : Springer, 2010.Edition: 3rd ed. 2015Description: 1 online resource (XVII, 340 pages 26 illustrations in color.)ISBN:

9783319110806

Subject(s):

Additional physical formats: Print version:: Linear algebra done right; Printed edition:: No title; Printed edition:: No title; Printed edition:: No title; Printed edition:: No titleDDC classification:

512.5 23 AXL

Contents:

Vector Spaces Sheldon Axler Pages 1-26 Finite-Dimensional Vector Spaces Sheldon Axler Pages 27-49 Linear Maps Sheldon Axler Pages 51-116 Polynomials Sheldon Axler Pages 117-130 Eigenvalues, Eigenvectors, and Invariant Subspaces Sheldon Axler Pages 131-161 Inner Product Spaces Sheldon Axler Pages 163-202 Operators on Inner Product Spaces Sheldon Axler Pages 203-240 Operators on Complex Vector Spaces Sheldon Axler Pages 241-274 Operators on Real Vector Spaces Sheldon Axler Pages 275-294 Trace and Determinant Sheldon Axler Pages 295-331 Back Matter Pages 333-340

Summary: This best-selling textbook for a second course in linear algebra is aimed at undergrad math majors and graduate students. The novel approach taken here banishes determinants to the end of the book. The text focuses on the central goal of linear algebra: understanding the structure of linear operators on finite-dimensional vector spaces. The author has taken unusual care to motivate concepts and to simplify proofs. A variety of interesting exercises in each chapter helps students understand and manipulate the objects of linear algebra. The third edition contains major improvements and revisions throughout the book. More than 300 new exercises have been added since the previous edition. Many new examples have been added to illustrate the key ideas of linear algebra. New topics covered in the book include product spaces, quotient spaces, and dual spaces. Beautiful new formatting creates pages with an unusually pleasant appearance in both print and electronic versions. No prerequisites are assumed other than the usual demand for suitable mathematical maturity. Thus the text starts by discussing vector spaces, linear independence, span, basis, and dimension. The book then deals with linear maps, eigenvalues, and eigenvectors. Inner-product spaces are introduced, leading to the finite-dimensional spectral theorem and its consequences. Generalized eigenvectors are then used to provide insight into the structure of a linear operator.

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Holdings
Item type	Current library	Collection	Call number	Status	Date due	Barcode
Project book	CUTN Central Library	Non-fiction	512.5 AXL (Browse shelf(Opens below))	Checked out to Renuka Devi V (20019T)	31/01/2024	48845

Vector Spaces
Sheldon Axler
Pages 1-26
Finite-Dimensional Vector Spaces
Sheldon Axler
Pages 27-49
Linear Maps
Sheldon Axler
Pages 51-116
Polynomials
Sheldon Axler
Pages 117-130
Eigenvalues, Eigenvectors, and Invariant Subspaces
Sheldon Axler
Pages 131-161
Inner Product Spaces
Sheldon Axler
Pages 163-202
Operators on Inner Product Spaces
Sheldon Axler
Pages 203-240
Operators on Complex Vector Spaces
Sheldon Axler
Pages 241-274
Operators on Real Vector Spaces
Sheldon Axler
Pages 275-294
Trace and Determinant
Sheldon Axler
Pages 295-331
Back Matter
Pages 333-340

This best-selling textbook for a second course in linear algebra is aimed at undergrad math majors and graduate students. The novel approach taken here banishes determinants to the end of the book. The text focuses on the central goal of linear algebra: understanding the structure of linear operators on finite-dimensional vector spaces. The author has taken unusual care to motivate concepts and to simplify proofs. A variety of interesting exercises in each chapter helps students understand and manipulate the objects of linear algebra. The third edition contains major improvements and revisions throughout the book. More than 300 new exercises have been added since the previous edition. Many new examples have been added to illustrate the key ideas of linear algebra. New topics covered in the book include product spaces, quotient spaces, and dual spaces. Beautiful new formatting creates pages with an unusually pleasant appearance in both print and electronic versions. No prerequisites are assumed other than the usual demand for suitable mathematical maturity. Thus the text starts by discussing vector spaces, linear independence, span, basis, and dimension. The book then deals with linear maps, eigenvalues, and eigenvectors. Inner-product spaces are introduced, leading to the finite-dimensional spectral theorem and its consequences. Generalized eigenvectors are then used to provide insight into the structure of a linear operator.

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