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Titlebook: Matrix Theory: A Second Course; James M. Ortega Book 1987 Springer-Verlag US 1987 algebra.calculus.equation.mathematics.theorem

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书目名称Matrix Theory: A Second Course
编辑James M. Ortega
视频video
丛书名称University Series in Mathematics
图书封面Titlebook: Matrix Theory: A Second Course;  James M. Ortega Book 1987 Springer-Verlag US 1987 algebra.calculus.equation.mathematics.theorem
描述Linear algebra and matrix theory are essentially synonymous terms for an area of mathematics that has become one of the most useful and pervasive tools in a wide range of disciplines. It is also a subject of great mathematical beauty. In consequence of both of these facts, linear algebra has increasingly been brought into lower levels of the curriculum, either in conjunction with the calculus or separate from it but at the same level. A large and still growing number of textbooks has been written to satisfy this need, aimed at students at the junior, sophomore, or even freshman levels. Thus, most students now obtaining a bachelor‘s degree in the sciences or engineering have had some exposure to linear algebra. But rarely, even when solid courses are taken at the junior or senior levels, do these students have an adequate working knowledge of the subject to be useful in graduate work or in research and development activities in government and industry. In particular, most elementary courses stop at the point of canonical forms, so that while the student may have "seen" the Jordan and other canonical forms, there is usually little appreciation of their usefulness. And there is almost
出版日期Book 1987
关键词algebra; calculus; equation; mathematics; theorem
版次1
doihttps://doi.org/10.1007/978-1-4899-0471-3
isbn_softcover978-0-306-42433-5
isbn_ebook978-1-4899-0471-3
copyrightSpringer-Verlag US 1987
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Book 1987s in a wide range of disciplines. It is also a subject of great mathematical beauty. In consequence of both of these facts, linear algebra has increasingly been brought into lower levels of the curriculum, either in conjunction with the calculus or separate from it but at the same level. A large and
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Review of Basic Background,f this chapter, or at least most of it, and a rather quick reading will serve to recall these basic facts as well as to establish certain notation that will be used in the remainder of the book. Some of the topics covered, especially linear equations and eigenvalues, will be expanded upon later in d
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Canonical Forms,“simplest” form that a matrix representation of . can take by judicious choice of bases in . and .? By the results of Section 2.2, this question is equivalent to the following one: Given an . × . matrix ., what is the “simplest” form that the matrix . can take by judicious choice of nonsingular matr
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