9/26/2023 0 Comments Download by way of introductionThe key components of the Joint Doctrine are: Brian Kohn, Tom Hagstrom, and Roger Lutzenheiser class-tested preliminary versions of this book.The Joint Doctrine – Edition Three continues to provide a common way of working together with saving life and reducing harm at its core. Many people have read various versions of this book and offered helpful suggestions, including Don Albers, Richard Alo, Tony Ralston, and Margaret Wright. He added new examples, reworked several sections, and generally made the text better. rewriting was needed, the book might have died had not Don Small offered 10 help with the revision work. Preface After the first draft was finished and initial reviews indicated that much My family- wife, Mandy, and daughters, Lisa and Katie-provided a supportive atmosphere that eased the long hours of writing more concretely, Lisa's calculus project on cubic splines became the appendix to Section 4. Notes from the linear algebra course of my brother, Tom Tucker at Colgate, formed the foundation of early work on this book. Tucker, ignited and nurtured my born-again interest in linear algebra. The first people to thank for help with this book are relatives. Here we first pose problems in Chapter 1, then develop a mathematical language for representing and recasting the problems in Chapter 2, and then look at ways to solve the problems in Chapter 3-four different solution methods are presented with an analysis of strengths and weaknesses of each. Many linear algebra textbooks start immediately with Gaussian elimination, before any matrix algebra. The book's organization is straightforward: Chapter 1 has introductory linear models Chapter 2 has the basics of matrix algebra Chapter 3 develops different ways to solve a system of equations Chapter 4 has applications, and Chapter 5 has vector-space theory associated with matrices and related topics such as pseudoinverses and orthogonalization. This book puts problem solving and an intuitive treatment of theory first, with a proof-oriented approach intended to come in a second course, the same way that calculus is taught. Vector spaces in the abstract are not considered, only vector spaces associated with matrices. This book develops linear algebra around matrices.
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