Softcover ISBN:  9781470454258 
Product Code:  CLN/30 
List Price:  $59.00 
MAA Member Price:  $53.10 
AMS Member Price:  $47.20 
eBook ISBN:  9781470456429 
Product Code:  CLN/30.E 
List Price:  $59.00 
MAA Member Price:  $53.10 
AMS Member Price:  $47.20 
Softcover ISBN:  9781470454258 
eBook: ISBN:  9781470456429 
Product Code:  CLN/30.B 
List Price:  $118.00 $88.50 
MAA Member Price:  $106.20 $79.65 
AMS Member Price:  $94.40 $70.80 
Softcover ISBN:  9781470454258 
Product Code:  CLN/30 
List Price:  $59.00 
MAA Member Price:  $53.10 
AMS Member Price:  $47.20 
eBook ISBN:  9781470456429 
Product Code:  CLN/30.E 
List Price:  $59.00 
MAA Member Price:  $53.10 
AMS Member Price:  $47.20 
Softcover ISBN:  9781470454258 
eBook ISBN:  9781470456429 
Product Code:  CLN/30.B 
List Price:  $118.00 $88.50 
MAA Member Price:  $106.20 $79.65 
AMS Member Price:  $94.40 $70.80 

Book DetailsCourant Lecture NotesVolume: 30; 2020; 288 ppMSC: Primary 97; 15; 40; 20
This book is the second of two volumes on linear algebra for graduate students in mathematics, the sciences, and economics, who have: a prior undergraduate course in the subject; a basic understanding of matrix algebra; and some proficiency with mathematical proofs. Both volumes have been used for several years in a oneyear course sequence, Linear Algebra I and II, offered at New York University's Courant Institute.
The first three chapters of this second volume round out the coverage of traditional linear algebra topics: generalized eigenspaces, further applications of Jordan form, as well as bilinear, quadratic, and multilinear forms. The final two chapters are different, being more or less selfcontained accounts of special topics that explore more advanced aspects of modern algebra: tensor fields, manifolds, and vector calculus in Chapter 4 and matrix Lie groups in Chapter 5. The reader can choose to pursue either chapter. Both deal with vast topics in contemporary mathematics. They include historical commentary on how modern views evolved, as well as examples from geometry and the physical sciences in which these topics are important.
The book provides a nice and varied selection of exercises; examples are wellcrafted and provide a clear understanding of the methods involved.
Titles in this series are copublished with the Courant Institute of Mathematical Sciences at New York University.
This item is also available as part of a set: 
Table of Contents

Chapters

Generalized Eigenspaces and the Jordan Decomposition

Further Applications of Jordan Form

Bilinear, Quadratic, and Multilinear Forms

Tensor Fields, Manifolds, and Vector Calculus

Matrix Lie Groups


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This book is the second of two volumes on linear algebra for graduate students in mathematics, the sciences, and economics, who have: a prior undergraduate course in the subject; a basic understanding of matrix algebra; and some proficiency with mathematical proofs. Both volumes have been used for several years in a oneyear course sequence, Linear Algebra I and II, offered at New York University's Courant Institute.
The first three chapters of this second volume round out the coverage of traditional linear algebra topics: generalized eigenspaces, further applications of Jordan form, as well as bilinear, quadratic, and multilinear forms. The final two chapters are different, being more or less selfcontained accounts of special topics that explore more advanced aspects of modern algebra: tensor fields, manifolds, and vector calculus in Chapter 4 and matrix Lie groups in Chapter 5. The reader can choose to pursue either chapter. Both deal with vast topics in contemporary mathematics. They include historical commentary on how modern views evolved, as well as examples from geometry and the physical sciences in which these topics are important.
The book provides a nice and varied selection of exercises; examples are wellcrafted and provide a clear understanding of the methods involved.
Titles in this series are copublished with the Courant Institute of Mathematical Sciences at New York University.

Chapters

Generalized Eigenspaces and the Jordan Decomposition

Further Applications of Jordan Form

Bilinear, Quadratic, and Multilinear Forms

Tensor Fields, Manifolds, and Vector Calculus

Matrix Lie Groups