Applied Linear Algebra by Peter J. Olver,Chehrzad Shakiban Book Summary:
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This textbook develops the essential tools of linear algebra, with the goal of imparting technique alongside contextual understanding. Applications go hand-in-hand with theory, each reinforcing and explaining the other. This approach encourages students to develop not only the technical proficiency needed to go on to further study, but an appreciation for when, why, and how the tools of linear algebra can be used across modern applied mathematics. Providing an extensive treatment of essential topics such as Gaussian elimination, inner products and norms, and eigenvalues and singular values, this text can be used for an in-depth first course, or an application-driven second course in linear algebra. In this second edition, applications have been updated and expanded to include numerical methods, dynamical systems, data analysis, and signal processing, while the pedagogical flow of the core material has been improved. Throughout, the text emphasizes the conceptual connections between each application and the underlying linear algebraic techniques, thereby enabling students not only to learn how to apply the mathematical tools in routine contexts, but also to understand what is required to adapt to unusual or emerging problems. No previous knowledge of linear algebra is needed to approach this text, with single-variable calculus as the only formal prerequisite. However, the reader will need to draw upon some mathematical maturity to engage in the increasing abstraction inherent to the subject. Once equipped with the main tools and concepts from this book, students will be prepared for further study in differential equations, numerical analysis, data science and statistics, and a broad range of applications. The first author’s text, Introduction to Partial Differential Equations, is an ideal companion volume, forming a natural extension of the linear mathematical methods developed here.
- Byrne Department of Mathematical Sciences University of Massachusetts Lowell Applied and Computational Linear Algebra: A First Course.
- Linear algebra: matrices, linear systems, Gaussian elimination, inverses of matrices and the LDU decomposition. In this material, we manage to define.
- Introduction to Applied Linear Algebra – Vectors, Matrices, and Least Squares Stephen Boyd and Lieven Vandenberghe Cambridge University Press. This book is used as the textbook for the course EE103 (Stanford) and EE133A (UCLA), where you will find additional related material.
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- A zero vector is a vector with all elements equal to zero. Sometimes the zero vector of size nis written as 0n, where the subscript denotes the size. But usually a zero vector is denoted just 0, the same symbol used to denote the number 0. In this case you have to gure out the size of the zero vector from the context.
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PURE A N D APPLIED MATHEMATICS Arnold Sommerfeld, Partial Differential Equations in Physics Reinhold Baer, Linear Algebra and Projective Geometry Herb. Download PDF 350KB Sizes 1385 Downloads 36550 Views.