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Author: F. R. Gantmacher Publisher: Courier Corporation ISBN: 0486445542 Category : Mathematics Languages : en Pages : 336
Book Description
The breadth of matrix theory's applications is reflected by this volume, which features material of interest to applied mathematicians as well as to control engineers studying stability of a servo-mechanism and numerical analysts evaluating the roots of a polynomial. Starting with a survey of complex symmetric, antisymmetric, and orthogonal matrices, the text advances to explorations of singular bundles of matrices and matrices with nonnegative elements. Applied mathematicians will take particular note of the full and readable chapter on applications of matrix theory to the study of systems of linear differential equations, and the text concludes with an exposition on the Routh-Hurwitz problem plus several helpful appendixes. 1959 edition.
Author: F. R. Gantmacher Publisher: Courier Corporation ISBN: 0486445542 Category : Mathematics Languages : en Pages : 336
Book Description
The breadth of matrix theory's applications is reflected by this volume, which features material of interest to applied mathematicians as well as to control engineers studying stability of a servo-mechanism and numerical analysts evaluating the roots of a polynomial. Starting with a survey of complex symmetric, antisymmetric, and orthogonal matrices, the text advances to explorations of singular bundles of matrices and matrices with nonnegative elements. Applied mathematicians will take particular note of the full and readable chapter on applications of matrix theory to the study of systems of linear differential equations, and the text concludes with an exposition on the Routh-Hurwitz problem plus several helpful appendixes. 1959 edition.
Author: Peter Lancaster Publisher: Academic Press ISBN: 9780124355606 Category : Computers Languages : en Pages : 590
Book Description
Matrix algebra; Determinants, inverse matrices, and rank; Linear, euclidean, and unitary spaces; Linear transformations and matrices; Linear transformations in unitary spaces and simple matrices; The jordan canonical form: a geometric approach; Matrix polynomials and normal forms; The variational method; Functions of matrices; Norms and bounds for eigenvalues; Perturbation theory; Linear matrices equations and generalized inverses; Stability problems; Matrix polynomials; Nonnegative matrices.
Author: Fuzhen Zhang Publisher: Springer Science & Business Media ISBN: 1475757972 Category : Mathematics Languages : en Pages : 290
Book Description
This volume concisely presents fundamental ideas, results, and techniques in linear algebra and mainly matrix theory. Each chapter focuses on the results, techniques, and methods that are beautiful, interesting, and representative, followed by carefully selected problems. For many theorems several different proofs are given. The only prerequisites are a decent background in elementary linear algebra and calculus.
Author: Denis Serre Publisher: Springer Science & Business Media ISBN: 038722758X Category : Mathematics Languages : en Pages : 215
Book Description
Clear and concise introduction to matrices with elegant proofs; Of interest to scientists from many disciplines; Gives many interesting applications to different parts of mathematics, such as algebra, analysis and complexity theory; Contains 160 exercises, half of them on advanced material; Includes at least one advanced result per chapter
Author: Joel N. Franklin Publisher: Courier Corporation ISBN: 0486136388 Category : Mathematics Languages : en Pages : 319
Book Description
Mathematically rigorous introduction covers vector and matrix norms, the condition-number of a matrix, positive and irreducible matrices, much more. Only elementary algebra and calculus required. Includes problem-solving exercises. 1968 edition.
Author: Denis Serre Publisher: Springer Science & Business Media ISBN: 1441976833 Category : Mathematics Languages : en Pages : 291
Book Description
In this book, Denis Serre begins by providing a clean and concise introduction to the basic theory of matrices. He then goes on to give many interesting applications of matrices to different aspects of mathematics and also other areas of science and engineering. With forty percent new material, this second edition is significantly different from the first edition. Newly added topics include: • Dunford decomposition, • tensor and exterior calculus, polynomial identities, • regularity of eigenvalues for complex matrices, • functional calculus and the Dunford–Taylor formula, • numerical range, • Weyl's and von Neumann’s inequalities, and • Jacobi method with random choice. The book mixes together algebra, analysis, complexity theory and numerical analysis. As such, this book will provide many scientists, not just mathematicians, with a useful and reliable reference. It is intended for advanced undergraduate and graduate students with either applied or theoretical goals. This book is based on a course given by the author at the École Normale Supérieure de Lyon.
Author: B S Vatssa Publisher: New Age International ISBN: 9788122401233 Category : Matrices Languages : en Pages : 288
Book Description
This Book Enables Students To Thoroughly Master Pre-College Mathematics And Helps Them To Prepare For Various Entrance (Screening) Tests With Skill And Confidence.The Book Thoroughly Explains The Following: 1. Algebra 2. Trigonometry 3. Co-Ordinate Geometry 4. Three Dimensional Geometry 5. Calculus 6. Vectors 7. StatisticsIn Addition To Theory, The Book Includes A Large Number Of -Solved Examples -Practice Problems With Answers -Objective Questions Including Multiple Choice, True/False And Fill-In-The-Blanks -Model Test Papers And Iit Screening Tests For Self-Test The Language Is Clear And Simple Throughout The Book And The Entire Subject Is Explained In An Interesting And Easy-To-Understand Manner.
Author: James M. Ortega Publisher: Springer Science & Business Media ISBN: 9780306424335 Category : Mathematics Languages : en Pages : 278
Book Description
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 never time in the elementary courses to deal with more specialized topics like nonnegative matrices, inertia theorems, and so on. In consequence, many graduate courses in mathematics, applied mathe matics, or applications develop certain parts of matrix theory as needed.
Author: F. R. Gantmacher
Author: F. R. Gantmacher
Author: Feliks Ruvimovich Gantmakher
Author: Peter Lancaster
Author: Philip J. Davis
Author: Fuzhen Zhang
Author: Denis Serre
Author: Joel N. Franklin
Author: Denis Serre
Author: B S Vatssa
Author: James M. Ortega