Softcover ISBN:  9781470477363 
Product Code:  AMSTEXT/66 
List Price:  $89.00 
MAA Member Price:  $80.10 
AMS Member Price:  $71.20 
eBook ISBN:  9781470479060 
Product Code:  AMSTEXT/66.E 
List Price:  $85.00 
MAA Member Price:  $76.50 
AMS Member Price:  $68.00 
Softcover ISBN:  9781470477363 
eBook: ISBN:  9781470479060 
Product Code:  AMSTEXT/66.B 
List Price:  $174.00 $131.50 
MAA Member Price:  $156.60 $118.35 
AMS Member Price:  $139.20 $105.20 
Softcover ISBN:  9781470477363 
Product Code:  AMSTEXT/66 
List Price:  $89.00 
MAA Member Price:  $80.10 
AMS Member Price:  $71.20 
eBook ISBN:  9781470479060 
Product Code:  AMSTEXT/66.E 
List Price:  $85.00 
MAA Member Price:  $76.50 
AMS Member Price:  $68.00 
Softcover ISBN:  9781470477363 
eBook ISBN:  9781470479060 
Product Code:  AMSTEXT/66.B 
List Price:  $174.00 $131.50 
MAA Member Price:  $156.60 $118.35 
AMS Member Price:  $139.20 $105.20 

Book DetailsPure and Applied Undergraduate TextsVolume: 66; 2025; Estimated: 305 ppMSC: Primary 15; 05
This textbook invites readers to dive into the mathematical ideas of linear algebra. Offering a gradual yet rigorous introduction, the author illuminates the structure, order, symmetry, and beauty of the topic. Opportunities to explore, master, and extend the theory abound, with generous exercise sets embodying the Hungarian tradition of active problemsolving.
Determinants, matrices, and systems of linear equations begin the book. This unique ordering offers insights from determinants early on, while also admitting reordering if desired. Chapters on vector spaces, linear maps, and eigenvalues and eigenvectors follow. Bilinear functions and Euclidean spaces build on the foundations laid in the first half of the book to round out the core material. Applications in combinatorics include Hilbert’s third problem, Oddtown and Eventown problems, and Sidon sets, a favorite of Paul Erdős. Coding theory applications include errorcorrection, linear, Hamming, and BCH codes. An appendix covers the algebraic basics used in the text.
Ideal for students majoring in mathematics and computer science, this textbook promotes a deep and versatile understanding of linear algebra. Familiarity with mathematical proof is assumed, though no prior knowledge of linear algebra is needed. Supplementary electronic materials support teaching and learning, with selected answers, hints, and solutions, and an additional problem bank for instructors.
ReadershipUndergraduate students interested in linear algebra; instructors seeking linear algebra problems for active learning.

Table of Contents

Determinants

Matrices

Systems of linear equations

Vector spaces

Linear maps

Eigenvalue, minimal polynomial

Bilinear functions

Euclidean spaces

Combinatorial applications

Codes

Basic algebra

Index


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This textbook invites readers to dive into the mathematical ideas of linear algebra. Offering a gradual yet rigorous introduction, the author illuminates the structure, order, symmetry, and beauty of the topic. Opportunities to explore, master, and extend the theory abound, with generous exercise sets embodying the Hungarian tradition of active problemsolving.
Determinants, matrices, and systems of linear equations begin the book. This unique ordering offers insights from determinants early on, while also admitting reordering if desired. Chapters on vector spaces, linear maps, and eigenvalues and eigenvectors follow. Bilinear functions and Euclidean spaces build on the foundations laid in the first half of the book to round out the core material. Applications in combinatorics include Hilbert’s third problem, Oddtown and Eventown problems, and Sidon sets, a favorite of Paul Erdős. Coding theory applications include errorcorrection, linear, Hamming, and BCH codes. An appendix covers the algebraic basics used in the text.
Ideal for students majoring in mathematics and computer science, this textbook promotes a deep and versatile understanding of linear algebra. Familiarity with mathematical proof is assumed, though no prior knowledge of linear algebra is needed. Supplementary electronic materials support teaching and learning, with selected answers, hints, and solutions, and an additional problem bank for instructors.
Undergraduate students interested in linear algebra; instructors seeking linear algebra problems for active learning.

Determinants

Matrices

Systems of linear equations

Vector spaces

Linear maps

Eigenvalue, minimal polynomial

Bilinear functions

Euclidean spaces

Combinatorial applications

Codes

Basic algebra

Index