Linear Algebra with Applications 10th Edition by Steven J. Leon, ISBN-13: 978-0136731276

Description

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• Publisher ‏ : ‎ Pearson
• Publication date ‏ : ‎ September 1, 2020
• Edition ‏ : ‎ 10th
• Language ‏ : ‎ English
• ISBN-10 ‏ : ‎ 0136731279
• ISBN-13 ‏ : ‎ 978-0136731276

A thorough and accessible introduction to linear algebra, delivered digitally.
The new 10th Edition of Linear Algebra with Applications continues to encourage a challenging and broad understanding of the subject. For this edition, Steve Leon – one of the leading figures in the use of technology for linear algebra – is joined by new co-author Lisette de Pillis of Harvey Mudd College, who brings her passion for teaching and solving real-world problems to this revision.

Key to the 10th Edition was transforming from a primarily print-based resource to a digital learning tool. The eText is packed with content and tools, such as interactive figures, that help bring course content to life for students and augment instruction. This change in format supports the authors’ hallmark – using modern practical application to make key concepts tangible and demonstrating how mathematics is used in the real world.

Each chapter contains integrated worked examples, practical applications, computer exercises, and chapter tests.  The important roles played by geometry and visualization in understanding linear algebra are emphasized.

For sophomore-level or junior/senior-level first courses in linear algebra; assumes calculus as a prerequisite.

Table of Contents:

Matrices and Systems of Equations 
1.1 Systems of Linear Equations 
1.2 Row Echelon Form
1.3 Matrix Arithmetic
1.4 Matrix Algebra
1.5 Elementary Matrices
1.6 Partitioned Matrices
MATLAB Exercises
Chapter Test A: True or False
Chapter Test B
Determinants
2.1 The Determinant of a Matrix
2.2 Properties of Determinants
2.3 Additional Topics and Applications
MATLAB Exercises
Chapter Test A: True or False
Chapter Test B
Vector Spaces
3.1 Definition and Examples
3.2 Subspaces
3.3 Linear Independence
3.4 Basis and Dimension
3.5 Change of Basis
3.6 Row Space and Column Space
MATLAB Exercises
Chapter Test A: True or False
Chapter Test B
Linear Transformations
4.1 Definition and Examples
4.2 Matrix Representations of Linear Transformations
4.3 Similarity
MATLAB Exercises
Chapter Test A: True or False
Chapter Test B
Orthogonality
5.1 The Scalar Product in Rn
5.2 Orthogonal Subspaces
5.3 Least Squares Problems
5.4 Inner Product Spaces
5.5 Orthonormal Sets
5.6 The Gram–Schmidt Orthogonalization Process
5.7 Orthogonal Polynomials
MATLAB Exercises
Chapter Test A: True or False
Chapter Test B
Eigenvalues
6.1 Eigenvalues and Eigenvectors
6.2 Systems of Linear Differential Equations
6.3 Diagonalization
6.4 Hermitian Matrices
6.5 The Singular Value Decomposition
6.6 Quadratic Forms
6.7 Positive Definite Matrices
6.8 Nonnegative Matrices
MATLAB Exercises
Chapter Test A: True or False
Chapter Test B
Numerical Linear Algebra
7.1 Floating-Point Numbers
7.2 Gaussian Elimination
7.3 Pivoting Strategies
7.4 Matrix Norms and Condition Numbers
7.5 Orthogonal Transformations
7.6 The Eigenvalue Problem
7.7 Least Squares Problems
7.8 Iterative Methods
MATLAB Exercises
Chapter Test A: True or False
Chapter Test B
Canonical Forms
8.1 Nilpotent Operators
8.2 The Jordan Canonical Form
Appendix: MATLAB
Bibliography
Answers to Selected Exercises
Index

Steven J. Leon, Chancellor Professor Emeritus, University of Massachusetts Dartmouth, received his PhD in Mathematics from Michigan State University in 1970. During the 1970s he taught in the Mathematics Department at Weber State College, Ogden Utah. In 1979 he joined the University of Massachusetts Dartmouth where he served as Associate, Full, and Chancellor Professor. His areas of specialty are linear algebra and computational mathematics. He has been a Visiting Professor at Stanford University, ETH Zurich (the Swiss Federal Institute of Technology), KTH (the Royal Institute of Technology in Stockholm), UC San Diego, and Brown University.

Professor Leon has also been a consultant for the Lockheed Georgia Company, the Naval Underwater Systems Center (New London, Conn.), and the Air Force Geophysics Lab (Hanscom Air Force Base). He retired from teaching in 2012 and moved to San Diego in 2016. He currently participates in the computational mathematics seminars at UCSD.

Prof. Leon’s book Linear Algebra with Applications was published in 1980. It has become a standard Linear Algebra textbook and has been translated into more than a half dozen languages. The current 10th edition is co-authored by Lisette de Pillis, Harvey Mudd College.

Prof. Leon has been an active member of the International Linear Algebra Society (ILAS). He served as Editor-in-Chief of IMAGE, the Bulletin of the International Linear Algebra Society, from 1989 to 1997 and later as a Contributing Editor. He has been very active in Linear Algebra Education and served on the ILAS Education Committee when it was originally formed in 1988. He later served two 3-year terms as chair of that committee.

In the 1990’s Professor Leon served as Director of the NSF sponsored ATLAST Project (Augmenting the Teaching of Linear Algebra using Software Tools). The project conducted 18 regional faculty workshops during the period from 1992–1997 and has been influential in reforming how Linear Algebra is taught in universities today.

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