Lee W. Jimmy T. View larger. Due to its flexible table of contents, the book is accessible for both students majoring in the scientific, engineering, and social sciences, as well as students that want an introduction to mathematical abstraction and logical reasoning. In order to achieve the text's flexibility, the book centers on 3 principal topics: matrix theory and systems of linear equations, elementary vector space concepts, and the eigenvalue problem.
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View BookBag. You have selected an online exam copy, you will be re-directed to the VitalSource website where you can complete your request Get your digital copy. Download resources Buy this product Students, buy access. Print this content. To achieve this flexibility, the authors focus on three principle topics: matrix theory and systems of linear equations, elementary vector space concepts, and the eigenvalue problem. Features An early introduction to eigenvalues allows for early, in-depth coverage of the eigenvalue problem in the course.
A brief introduction to determinants is given in Section 4. An early introduction to linear combinations —In Section 1. This viewpoint leads to a simple and natural development for the theory associated with systems of linear equations. This approach gives some early motivation for the vector space concepts introduced in Chapter 3 such as subspace, basis, and dimension. Applications to different fields of study provide motivation for students in a wide variety of disciplines.
A gradual increase in difficulty level eases students into more advanced topics. In a typical linear algebra course, students find the techniques of Gaussian elimination and matrix operations easy; then the ensuing material relating to vector spaces is suddenly much harder.
The authors have done three things to lessen this abrupt midterm jump in difficulty: Introduction of linear independence occurs early, in Section 1. Introduction of vector space concepts such as subspace, basis, and dimension in Chapter 3, in the familiar geometrical setting of R n.
The clear, accessible exposition reveals the power of mathematical abstraction. Topics have been organized so that they flow logically and naturally from the concrete and computational to the more abstract. Numerous examples, many presented in extreme detail, have been included in order to illustrate the concepts.
A set of supplementary exercises are included at the end of each chapter. These exercises, some of which are true-false questions, are designed to test the student's understanding of important concepts. They often require the student to use ideas from several different sections. Numerous, extensive exercise sets , range from routine drill exercises to interesting applications to exercises of a theoretical nature. The more difficult theoretical exercises have substantial hints.
The computational exercises are written using workable numbers that do not obscure the point with cumbersome arithmetic details. Spiraling exercises in many sections contain hint at ideas that will be developed later. Historical notes assist the student in gaining a historical and mathematical perspective of the ideas and concepts of linear algebra. A Technology Resource Manual offers supports Maple and Mathematica for students who wish to use these technologies.
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Introduction Linear Algebra by Johnson Riess Arnold
Published by Addison-Wesley. Seller Rating:. About this Item: Addison-Wesley. Light rubbing wear to cover, spine and page edges. Very minimal writing or notations in margins not affecting the text.
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Introduction to Linear Algebra, 5th Edition