Linear Algebra
Language: English
Published by Amer Mathematical Society
- Softcover
- New
Seller: GreatBookPricesUK, Woodford Green, United KingdomGreatBookPricesUK
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Condition: New
£ 97.56
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- Title
- Linear Algebra
- Author
- Greenleaf, Frederick P.; Marques, Sophie
- Publisher
- Amer Mathematical Society
- Condition
- New
- Binding
- Soft cover
- Language
- English
- ISBN 10
- 1470461609
- ISBN 13
- 9781470461607
Both volumes have been used for several years in a one-year course sequence, Linear Algebra I and II, offered at New York University's Courant Institute. The first volume re-examines basic notions of linear algebra: vector spaces, linear operators, duality, determinants, diagonalization, and inner product spaces, giving an overview of linear algebra with sufficient mathematical precision for advanced use of the subject. This book provides a nice and varied selection of exercises; examples are well-crafted and provide a clear understanding of the methods involved. New notions are well motivated and interdisciplinary connections are often provided, to give a more intuitive and complete vision of linear algebra. Computational aspects are fully covered, but the study of linear operators remains the focus of study in this book.
The first three chapters of the 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 self-contained 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 second volume provides a nice and varied selection of exercises; examples are well-crafted and provide a clear understanding of the methods involved .
"Synopsis" may belong to another edition of this title.
About the Author
Sophie Marques, Stellenbosch University, South Africa.
"About the title" may belong to another edition of this title.
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