Download or read book Elements of Matrix Modeling and Computing with MATLAB written by Robert E. White and published by CRC Press. This book was released on 2006-09-12 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: As discrete models and computing have become more common, there is a need to study matrix computation and numerical linear algebra. Encompassing a diverse mathematical core, Elements of Matrix Modeling and Computing with MATLAB examines a variety of applications and their modeling processes, showing you how to develop matrix models and solve algebraic systems. Emphasizing practical skills, it creates a bridge from problems with two and three variables to more realistic problems that have additional variables. Elements of Matrix Modeling and Computing with MATLAB focuses on seven basic applications: circuits, trusses, mixing tanks, heat conduction, data modeling, motion of a mass, and image filters. These applications are developed from very simple to more complex models. To explain the processes, the book explores numerous topics in linear algebra, including complex numbers and functions, matrices, algebraic systems, curve fitting, elements of linear differential equations, transform methods, and tools of computation. For example, the author uses linearly independent vectors and subspaces to explain over- and under-determined systems, eigenvalues and eigenvectors to solve initial value problems, and discrete Fourier transforms to perform image filtering in the frequency domain. Although the primary focus is to cultivate calculation skills by hand, most chapters also include MATLAB to help with more complicated calculations.
Download or read book Elements of Linear Algebra written by Anthony J. Pettofrezzo and published by . This book was released on 1985 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Matrix and Finite Element Analyses of Structures written by Madhujit Mukhopadhyay and published by Springer Nature. This book was released on 2022-11-25 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook has been primarily written for undergraduate and postgraduate engineering students studying the mechanics of solids and structural systems. The content focuses on matrix, finite elements, structural analysis, and computer implementation in a unified and integrated manner. Using classical methods of structural analysis, it discusses matrix and the finite element methods in an easy-to-understand manner. It consists of a large number of diagrams and illustrations for easy understanding of the concepts. All the computer codes are presented in "FORTRAN" AND "C". This textbook is highly useful for the undergraduate and postgraduate engineering students. It also acquaints the practicing engineers about the computer-based techniques used in structural analysis.
Download or read book Elements of Linear Algebra and Matrix Theory written by John T. Moore and published by New York ; Toronto : McGraw-Hill Book Company. This book was released on 1968 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Determinants and Matrices written by A. C. Aitken and published by Read Books Ltd. This book was released on 2017-01-09 with total page 171 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains a detailed guide to determinants and matrices in algebra. It offers an in-depth look into this area of mathematics, and it is highly recommended for those looking for an introduction to the subject. "Determinants and Matrices" is not to be missed by collectors of vintage mathematical literature. Contents include: "Linear Equations and Transformations", "The Notation of Matrices", "Matrices, Row and Column Vectors, Sealers", "The Operations of Matrix Algebra", "Matrix Pre- and Postmultiplication", "Product of Three or More Matrices", "Transposition of Rows and Columns", "Transpose of a Product: Reversal Rule", etc. Many vintage books such as this are becoming increasingly scarce and expensive. It is with this in mind that we are republishing this volume now in a modern, high-quality edition complete with the original text and artwork.
Download or read book The Theory of Matrices written by Feliks Ruvimovich Gantmakher and published by . This book was released on 1960 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Matrices Whose Elements are Matrices written by R. Lowell Dallin and published by . This book was released on 1965 with total page 76 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Matrices Moments and Quadrature with Applications written by Gene H. Golub and published by Princeton University Press. This book was released on 2009-12-07 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: This computationally oriented book describes and explains the mathematical relationships among matrices, moments, orthogonal polynomials, quadrature rules, and the Lanczos and conjugate gradient algorithms. The book bridges different mathematical areas to obtain algorithms to estimate bilinear forms involving two vectors and a function of the matrix. The first part of the book provides the necessary mathematical background and explains the theory. The second part describes the applications and gives numerical examples of the algorithms and techniques developed in the first part. Applications addressed in the book include computing elements of functions of matrices; obtaining estimates of the error norm in iterative methods for solving linear systems and computing parameters in least squares and total least squares; and solving ill-posed problems using Tikhonov regularization. This book will interest researchers in numerical linear algebra and matrix computations, as well as scientists and engineers working on problems involving computation of bilinear forms.
Download or read book An Introduction to Matrix Structural Analysis and Finite Element Methods written by Jean H. Prevost and published by World Scientific Publishing Company. This book was released on 2017 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive volume is unique in presenting the typically decoupled fields of Matrix Structural Analysis (MSA) and Finite Element Methods (FEM) in a cohesive framework. MSA is used not only to derive formulations for truss, beam, and frame elements, but also to develop the overarching framework of matrix analysis. FEM builds on this foundation with numerical approximation techniques for solving boundary value problems in steady-state heat and linear elasticity. Focused on coding, the text guides the reader from first principles to explicit algorithms. This intensive, code-centric approach actively prepares the student or practitioner to critically assess the performance of commercial analysis packages and explore advanced literature on the subject.
Download or read book Applications of the Theory of Matrices written by F. R. Gantmacher and published by Courier Corporation. This book was released on 2005-01-01 with total page 336 pages. 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.
Download or read book Learning R written by Richard Cotton and published by "O'Reilly Media, Inc.". This book was released on 2013-09-09 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: Learn how to perform data analysis with the R language and software environment, even if you have little or no programming experience. With the tutorials in this hands-on guide, youâ??ll learn how to use the essential R tools you need to know to analyze data, including data types and programming concepts. The second half of Learning R shows you real data analysis in action by covering everything from importing data to publishing your results. Each chapter in the book includes a quiz on what youâ??ve learned, and concludes with exercises, most of which involve writing R code. Write a simple R program, and discover what the language can do Use data types such as vectors, arrays, lists, data frames, and strings Execute code conditionally or repeatedly with branches and loops Apply R add-on packages, and package your own work for others Learn how to clean data you import from a variety of sources Understand data through visualization and summary statistics Use statistical models to pass quantitative judgments about data and make predictions Learn what to do when things go wrong while writing data analysis code
Download or read book Matrix Discrete Element Analysis of Geological and Geotechnical Engineering written by Chun Liu and published by Springer Nature. This book was released on 2021-01-23 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the basic structure, modeling methods, numerical calculation processes, post-processing, and system functions of MatDEM, which applies the basic principles and algorithm of the discrete element method. The discrete element method can effectively simulate the discontinuity, inhomogeneity, and large deformation damage of rock and soil. It is widely used in both research and industry. Based on the innovative matrix discrete element computing method, the author developed the high-performance discrete element software MatDEM from scratch, which can handle millions of elements in discrete element numerical simulations. This book also presents several examples of applications in geological and geotechnical engineering, including basic geotechnical engineering problems, discrete element tests, three dimensional landslides, and dynamic and multi-field coupling functions. Teaching videos and the relevant software can be accessed on the MATDEM website (http://matdem.com). The book serves as a useful reference for research and engineering staff, undergraduates, and postgraduates who work in the fields of geology, geotechnical, water conservancy, civil engineering, mining, and physics.
Download or read book Elements of the Theory of Generalized Inverses of Matrices written by R.E. Cline and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 90 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this monograph is to provide a concise introduction to the theory of generalized inverses of matrices that is accessible to undergraduate mathematics majors. Although results from this active area of research have appeared in a number of excellent graduate level text books since 1971, material for use at the undergraduate level remains fragmented. The basic ideas are so fundamental, however, that they can be used to unify various topics that an undergraduate has seen but perhaps not related. Material in this monograph was first assembled by the author as lecture notes for the senior seminar in mathematics at the University of Tennessee. In this seminar one meeting per week was for a lecture on the subject matter, and another meeting was to permit students to present solutions to exercises. Two major problems were encountered the first quarter the seminar was given. These were that some of the students had had only the required one-quarter course in matrix theory and were not sufficiently familiar with eigenvalues, eigenvectors and related concepts, and that many -v- of the exercises required fortitude. At the suggestion of the UMAP Editor, the approach in the present monograph is (1) to develop the material in terms of full rank factoriza tions and to relegate all discussions using eigenvalues and eigenvectors to exercises, and (2) to include an appendix of hints for exercises.
Download or read book Matrices And Their Roots A Textbook Of Matrix Algebra written by A R G Heesterman and published by World Scientific Publishing Company. This book was released on 1990-12-31 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook addresses itself to two groups of students who need mathematics in an applied context: undergraduates starting at the beginning, and postgraduates who need reference-material, but who, not being mathematics specialists, nevertheless are not best served by an ordinary mathematics textbook, which will generally be at a higher level of abstraction. It gives full proofs throughout, and is illustrated with a large number of numerical examples, reinforcing the student's grasp of the topics covered by exercises and corresponding answersheets, and by the corresponding tutorial program ILLUSTRATE. The program ‘Illustrate’ will run on any IBM compatible micro-computer. The relevant areas of application are economics, econometrics, mathematical programming and engineering.
Download or read book Primer of Applied Regression Analysis of Variance 3E written by Stanton A. Glantz and published by McGraw Hill Professional. This book was released on 2016-02-22 with total page 1212 pages. Available in PDF, EPUB and Kindle. Book excerpt: A textbook on the use of advanced statistical methods in healthcare sciences Primer of Applied Regression & Analysis of Variance is a textbook especially created for medical, public health, and social and environmental science students who need applied (not theoretical) training in the use of statistical methods. The book has been acclaimed for its user-friendly style that makes complicated material understandable to readers who do not have an extensive math background. The text is packed with learning aids that include chapter-ending summaries and end-of-chapter problems that quickly assess mastery of the material. Examples from biological and health sciences are included to clarify and illustrate key points. The techniques discussed apply to a wide range of disciplines, including social and behavioral science as well as health and life sciences. Typical courses that would use this text include those that cover multiple linear regression and ANOVA. Four completely new chapters Completely updated software information and examples
Download or read book Matrix Algebra for Physicists written by R. K. Eisenschitz and published by Springer. This book was released on 1966 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Matrices and Transformations written by Anthony J. Pettofrezzo and published by Courier Corporation. This book was released on 2012-05-04 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents an elementary and concrete approach to linear algebra that is both useful and essential for the beginning student and teacher of mathematics. Here are the fundamental concepts of matrix algebra, first in an intuitive framework and then in a more formal manner. A Variety of interpretations and applications of the elements and operations considered are included. In particular, the use of matrices in the study of transformations of the plane is stressed. The purpose of this book is to familiarize the reader with the role of matrices in abstract algebraic systems, and to illustrate its effective use as a mathematical tool in geometry. The first two chapters cover the basic concepts of matrix algebra that are important in the study of physics, statistics, economics, engineering, and mathematics. Matrices are considered as elements of an algebra. The concept of a linear transformation of the plane and the use of matrices in discussing such transformations are illustrated in Chapter #. Some aspects of the algebra of transformations and its relation to the algebra of matrices are included here. The last chapter on eigenvalues and eigenvectors contains material usually not found in an introductory treatment of matrix algebra, including an application of the properties of eigenvalues and eigenvectors to the study of the conics. Considerable attention has been paid throughout to the formulation of precise definitions and statements of theorems. The proofs of most of the theorems are included in detail in this book. Matrices and Transformations assumes only that the reader has some understanding of the basic fundamentals of vector algebra. Pettofrezzo gives numerous illustrative examples, practical applications, and intuitive analogies. There are many instructive exercises with answers to the odd-numbered questions at the back. The exercises range from routine computations to proofs of theorems that extend the theory of the subject. Originally written for a series concerned with the mathematical training of teachers, and tested with hundreds of college students, this book can be used as a class or supplementary text for enrichments programs at the high school level, a one-semester college course, individual study, or for in-service programs.
