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Author : Philip J. Davis
Release : 1973
Genre : Mathematics
Kind : eBook
Book Rating : /5 ( reviews)
Book Synopsis The Mathematics of Matrices by : Philip J. Davis
Download or read book The Mathematics of Matrices written by Philip J. Davis. This book was released on 1973. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jacob T. Schwartz
Release : 2012-05-23
Genre : Mathematics
Kind : eBook
Book Rating : 708/5 ( reviews)
Book Synopsis Introduction to Matrices and Vectors by : Jacob T. Schwartz
Download or read book Introduction to Matrices and Vectors written by Jacob T. Schwartz. This book was released on 2012-05-23. Available in PDF, EPUB and Kindle. Book excerpt: Realizing that matrices can be a confusing topic for the beginner, the author of this undergraduate text has made things as clear as possible by focusing on problem solving, rather than elaborate proofs. He begins with the basics, offering students a solid foundation for the later chapters on using special matrices to solve problems.The first three chapters present the basics of matrices, including addition, multiplication, and division, and give solid practice in the areas of matrix manipulation where the laws of algebra do not apply. In later chapters the author introduces vectors and shows how to use vectors and matrices to solve systems of linear equations. He also covers special matrices — including complex numbers, quaternion matrices, and matrices with complex entries — and transpose matrices; the trace of a matrix; the cross product of matrices; eigenvalues and eigenvectors; and infinite series of matrices. Exercises at the end of each section give students further practice in problem solving. Prerequisites include a background in algebra, and in the later chapters, a knowledge of solid geometry. The book was designed as an introductory text for college freshmen and sophomores, but selected chapters can also be used to supplement advanced high school classes. Professionals who need a better understanding or review of the subject will also benefit from this concise guide.
Author : F. R. Gantmacher
Release : 2005-01-01
Genre : Mathematics
Kind : eBook
Book Rating : 542/5 ( reviews)
Book Synopsis Applications of the Theory of Matrices by : F. R. Gantmacher
Download or read book Applications of the Theory of Matrices written by F. R. Gantmacher. This book was released on 2005-01-01. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Hans Schneider
Release : 2012-06-08
Genre : Mathematics
Kind : eBook
Book Rating : 301/5 ( reviews)
Book Synopsis Matrices and Linear Algebra by : Hans Schneider
Download or read book Matrices and Linear Algebra written by Hans Schneider. This book was released on 2012-06-08. Available in PDF, EPUB and Kindle. Book excerpt: Linear algebra is one of the central disciplines in mathematics. A student of pure mathematics must know linear algebra if he is to continue with modern algebra or functional analysis. Much of the mathematics now taught to engineers and physicists requires it. This well-known and highly regarded text makes the subject accessible to undergraduates with little mathematical experience. Written mainly for students in physics, engineering, economics, and other fields outside mathematics, the book gives the theory of matrices and applications to systems of linear equations, as well as many related topics such as determinants, eigenvalues, and differential equations. Table of Contents: l. The Algebra of Matrices 2. Linear Equations 3. Vector Spaces 4. Determinants 5. Linear Transformations 6. Eigenvalues and Eigenvectors 7. Inner Product Spaces 8. Applications to Differential Equations For the second edition, the authors added several exercises in each chapter and a brand new section in Chapter 7. The exercises, which are both true-false and multiple-choice, will enable the student to test his grasp of the definitions and theorems in the chapter. The new section in Chapter 7 illustrates the geometric content of Sylvester's Theorem by means of conic sections and quadric surfaces. 6 line drawings. lndex. Two prefaces. Answer section.
Author : Dennis S. Bernstein
Release : 2009-07-26
Genre : Mathematics
Kind : eBook
Book Rating : 391/5 ( reviews)
Book Synopsis Matrix Mathematics by : Dennis S. Bernstein
Download or read book Matrix Mathematics written by Dennis S. Bernstein. This book was released on 2009-07-26. Available in PDF, EPUB and Kindle. Book excerpt: Each chapter in this book describes relevant background theory followed by specialized results. Hundreds of identities, inequalities, and matrix facts are stated clearly with cross references, citations to the literature, and illuminating remarks.
