Each chapter has many excellent problems and optional related information. No previous course in abstract algebra required. This guide to using matrices as a mathematical tool offers a model for procedure rather than an exposition of theory.
Detailed examples illustrate the focus on computational methods. In , the National Science Foundation recommended that every college mathematics curriculum should include a second course in linear algebra. In answer to this recommendation, Matrix Theory: From Generalized Inverses to Jordan Form provides the material for a second semester of linear algebra that probes introductory linear algebra concepts while also exploring topics not typically covered in a sophomore-level class.
Tailoring the material to advanced undergraduate and beginning graduate students, the authors offer instructors flexibility in choosing topics from the book. The text first focuses on the central problem of linear algebra: solving systems of linear equations.
It then discusses LU factorization, derives Sylvester's rank formula, introduces full-rank factorization, and describes generalized inverses. After discussions on norms, QR factorization, and orthogonality, the authors prove the important spectral theorem. Eves' book employs a concrete elementary approach, avoiding abstraction until the final chapter. This practical method renders the text especially accessible to students of physics, engineering, business and the social sciences, as well as math majors.
Although the treatment is fundamental — no previous courses in abstract algebra are required — it is also flexible: each chapter includes special material for advanced students interested in deeper study or application of the theory. The book begins with preliminary remarks that set the stage for the author's concrete approach to matrix theory and the consideration of matrices as hypercomplex numbers.
Penguin; , pp. Later chapters connect this with advanced linear algebra topics. Euler derives equations for isometries without using matrix theory. A survey of geometry. Two volumes. Bos- ton: Allyn and Bacon. LC: QA Mathematics Department. Subject Code: MAN Course Title: Mathematics I.
Contact Hours: L: 3. Examination Duration Hrs. Matrix Algebra: Elementary operations and their use in getting the Rank, Inverse Systems of linear equations: elementary matrices, the process of Gaussian elimination, Hermite or reduced row-echelon matrices. Linear combinations of rows columns , An introduction to the history of Mathematics 5th Edn, H.
These range from elementary topics such as construction procedures to quite advanced topics such as The subject of Chapter 4 is the role of There is a carved shrine containing There, the author multiplies Mathematical Monthly, 94 Howard Eves's career interests in teaching, history, and geometry provide an ideal setting within which Books by Author.
Everitt, W. Sleeman, B. Conference on the theory of partial differential equations. Eves, Howard Functional analysis. Gemignani, M. Elementary topology. George, Allan. Graph theory and sparse matrix computation. Giere, Ronald Joy A. Palmer ed. Routledge Key Guides. Ehrhard Behrends. Howard Eves
0コメント