Fifth Edition
by Gilbert Strang (Author)
Gilbert Strang's textbooks have changed the entire approach to learning linear algebra -- away from abstract vector spaces to specific examples of the four fundamental subspaces: the column space and nullspace of A and A'.
This new fifth edition has become more than a
textbook for the basic linear algebra course. That is its first purpose
and always will be. The new chapters about applications of the SVD,
probability and statistics, and Principal Component Analysis in finance
and genetics, make it also a textbook for a second course, plus a
resource at work. Linear algebra has become central in modern applied
mathematics. This book supports the value of understanding linear
algebra.
Introduction to Linear Algebra, Fifth Edition
includes challenge problems to complement the review problems that have
been highly praised in previous editions. The basic course is followed
by eight applications: differential equations in engineering, graphs and
networks, statistics, Fourier methods and the FFT, linear programming,
computer graphics, cryptography, Principal Component Analysis, and
singular values.
Audience: Thousands of teachers
in colleges and universities and now high schools are using this book,
which truly explains this crucial subject. This text is for readers
everywhere, with support from the websites and video lectures. Every
chapter begins with a summary for efficient review.
Contents:
Chap. 1: Introduction to Vectors; Chap. 2: Solving Linear Equations;
Chap. 3: Vector Spaces and Subspaces; Chap. 4: Orthogonality; Chap. 5:
Determinants; Chap. 6: Eigenvalues and Eigenvectors; Chap. 7: Singular
Value Decomposition; Chap. 8: Linear Transformations; Chap. 9: Complex
Vectors and Matrices; Chap. 10: Applications; Chap. 11: Numerical Linear
Algebra; Chap. 12: Linear Algebra in Probability and Statistics; Matrix
Factorizations; Index; Six Great Theorems.
