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Introduction to Linear Algebra, 5th Edition (+Solutions)
Год издания: 2016 Автор: Gilbert Strang Жанр или тематика: Учебник по линейной алгебре
Издательство: Wellesley - Cambridge Press ISBN: 978-0980232776 Язык: Английский
Формат: PDF Качество: Издательский макет или текст (eBook) Количество страниц: 584 (+186 in Solutions)
Описание: 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
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