Scalar Vector And Matrix Mathematics

Author : Dennis S. Bernstein
Publisher : Princeton University Press
Page : 1593 pages
File Size : 41,6 Mb
Release : 2018-02-27
Category : Mathematics
ISBN : 9780691176536

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Scalar, Vector, and Matrix Mathematics by Dennis S. Bernstein Pdf

The essential reference book on matrices—now fully updated and expanded, with new material on scalar and vector mathematics Since its initial publication, this book has become the essential reference for users of matrices in all branches of engineering, science, and applied mathematics. In this revised and expanded edition, Dennis Bernstein combines extensive material on scalar and vector mathematics with the latest results in matrix theory to make this the most comprehensive, current, and easy-to-use book on the subject. Each chapter describes relevant theoretical background followed by specialized results. Hundreds of identities, inequalities, and facts are stated clearly and rigorously, with cross-references, citations to the literature, and helpful comments. Beginning with preliminaries on sets, logic, relations, and functions, this unique compendium covers all the major topics in matrix theory, such as transformations and decompositions, polynomial matrices, generalized inverses, and norms. Additional topics include graphs, groups, convex functions, polynomials, and linear systems. The book also features a wealth of new material on scalar inequalities, geometry, combinatorics, series, integrals, and more. Now more comprehensive than ever, Scalar, Vector, and Matrix Mathematics includes a detailed list of symbols, a summary of notation and conventions, an extensive bibliography and author index with page references, and an exhaustive subject index. Fully updated and expanded with new material on scalar and vector mathematics Covers the latest results in matrix theory Provides a list of symbols and a summary of conventions for easy and precise use Includes an extensive bibliography with back-referencing plus an author index

Author : Dennis S. Bernstein
Publisher : Princeton University Press
Page : 1600 pages
File Size : 40,7 Mb
Release : 2018-02-27
Category : Mathematics
ISBN : 9781400888252

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Scalar, Vector, and Matrix Mathematics by Dennis S. Bernstein Pdf

The essential reference book on matrices—now fully updated and expanded, with new material on scalar and vector mathematics Since its initial publication, this book has become the essential reference for users of matrices in all branches of engineering, science, and applied mathematics. In this revised and expanded edition, Dennis Bernstein combines extensive material on scalar and vector mathematics with the latest results in matrix theory to make this the most comprehensive, current, and easy-to-use book on the subject. Each chapter describes relevant theoretical background followed by specialized results. Hundreds of identities, inequalities, and facts are stated clearly and rigorously, with cross-references, citations to the literature, and helpful comments. Beginning with preliminaries on sets, logic, relations, and functions, this unique compendium covers all the major topics in matrix theory, such as transformations and decompositions, polynomial matrices, generalized inverses, and norms. Additional topics include graphs, groups, convex functions, polynomials, and linear systems. The book also features a wealth of new material on scalar inequalities, geometry, combinatorics, series, integrals, and more. Now more comprehensive than ever, Scalar, Vector, and Matrix Mathematics includes a detailed list of symbols, a summary of notation and conventions, an extensive bibliography and author index with page references, and an exhaustive subject index. Fully updated and expanded with new material on scalar and vector mathematics Covers the latest results in matrix theory Provides a list of symbols and a summary of conventions for easy and precise use Includes an extensive bibliography with back-referencing plus an author index

Author : Stephen Boyd,Lieven Vandenberghe
Publisher : Cambridge University Press
Page : 477 pages
File Size : 43,8 Mb
Release : 2018-06-07
Category : Business & Economics
ISBN : 9781316518960

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Introduction to Applied Linear Algebra by Stephen Boyd,Lieven Vandenberghe Pdf

A groundbreaking introduction to vectors, matrices, and least squares for engineering applications, offering a wealth of practical examples.

Author : Hugh G. Campbell
Publisher : Unknown
Page : 268 pages
File Size : 46,6 Mb
Release : 1965
Category : Linear programming
ISBN : UOM:39015009845390

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An Introduction to Matrices, Vectors, and Linear Programming by Hugh G. Campbell Pdf

Author : William Brown
Publisher : CRC Press
Page : 338 pages
File Size : 48,6 Mb
Release : 1991-03-01
Category : Mathematics
ISBN : 0824784197

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Matrices and Vector SPates by William Brown Pdf

A textbook for a one-semester course in linear algebra for graduate or upper-level undergraduate students of mathematics and engineering. Employs a matrix perspective, and emphasizes training in definitions, theorems, and proofs. Annotation copyright Book News, Inc. Portland, Or.

Author : K.T. Leung,S.N. Suen
Publisher : Hong Kong University Press
Page : 357 pages
File Size : 43,5 Mb
Release : 1994-08-01
Category : Mathematics
ISBN : 9789622093607

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Vectors, Matrices and Geometry by K.T. Leung,S.N. Suen Pdf

This book is the last volume of a three-book series written for Sixth Form students and first-year undergraduates. It introduces the important concepts of finite-dimensional vector spaces through the careful study of Euclidean geometry. In turn, methods of linear algebra are then used in the study of coordinate transformations through which a complete classification of conic sections and quadric surfaces is obtained. The book concludes with a detailed treatment of linear equations in n variables in the language of vectors and matrices. Illustrative examples are included in the main text and numerous exercises are given in each section. The other books in the series are Fundamental Concepts of Mathematics (published 1988) and Polynomials and Equations (published 1992).

Author : Cyrus Colton MacDuffee
Publisher : American Mathematical Soc.
Page : 203 pages
File Size : 46,7 Mb
Release : 1943-12-31
Category : Matrices
ISBN : 9781614440079

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Vectors and Matrices by Cyrus Colton MacDuffee Pdf

In 1943, a course in linear algebra did not yet exist as a standard part of the undergraduate curriculum. It would be another twenty years before that would become common. It is, however, easy to identify the defining features of that course in this volume. Start with the idea of solving linear systems; change the point of view to that of transformations on vector spaces; recognize similarity as an essential classifying principle; and catalogue the canonical forms (Jordan normal form) of the transformations. All of this is here but with a decided, old-fashioned, algebraic accent—there is only one figure in the entire text.

Author : Vikram Dayal
Publisher : Springer Nature
Page : 323 pages
File Size : 50,7 Mb
Release : 2020-02-03
Category : Mathematics
ISBN : 9789811520358

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Quantitative Economics with R by Vikram Dayal Pdf

This book provides a contemporary treatment of quantitative economics, with a focus on data science. The book introduces the reader to R and RStudio, and uses expert Hadley Wickham’s tidyverse package for different parts of the data analysis workflow. After a gentle introduction to R code, the reader’s R skills are gradually honed, with the help of “your turn” exercises. At the heart of data science is data, and the book equips the reader to import and wrangle data, (including network data). Very early on, the reader will begin using the popular ggplot2 package for visualizing data, even making basic maps. The use of R in understanding functions, simulating difference equations, and carrying out matrix operations is also covered. The book uses Monte Carlo simulation to understand probability and statistical inference, and the bootstrap is introduced. Causal inference is illuminated using simulation, data graphs, and R code for applications with real economic examples, covering experiments, matching, regression discontinuity, difference-in-difference, and instrumental variables. The interplay of growth related data and models is presented, before the book introduces the reader to time series data analysis with graphs, simulation, and examples. Lastly, two computationally intensive methods—generalized additive models and random forests (an important and versatile machine learning method)—are introduced intuitively with applications. The book will be of great interest to economists—students, teachers, and researchers alike—who want to learn R. It will help economics students gain an intuitive appreciation of applied economics and enjoy engaging with the material actively, while also equipping them with key data science skills.

Author : Dennis S. Bernstein
Publisher : Princeton University Press
Page : 1183 pages
File Size : 46,6 Mb
Release : 2009-07-26
Category : Mathematics
ISBN : 9780691140391

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Matrix Mathematics by Dennis S. Bernstein Pdf

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.

Author : M. C. Jain
Publisher : CRC Press
Page : 184 pages
File Size : 40,7 Mb
Release : 2001
Category : Mathematics
ISBN : 0849309786

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Vector Spaces and Matrices in Physics by M. C. Jain Pdf

The theory of vector spaces and matrices is an essential part of the mathematical background required by physicists. Most books on the subject, however, do not adequately meet the requirements of physics courses-they tend to be either highly mathematical or too elementary. Books that focus on mathematical theory may render the subject too dry to hold the interest of physics students, while books that are more elementary tend to neglect some topics that are vital in the development of physical theories. In particular, there is often very little discussion of vector spaces, and many books introduce matrices merely as a computational tool. Vector Spaces and Matrices in Physics fills the gap between the elementary and the heavily mathematical treatments of the subject with an approach and presentation ideal for graduate-level physics students. After building a foundation in vector spaces and matrix algebra, the author takes care to emphasize the role of matrices as representations of linear transformations on vector spaces, a concept of matrix theory that is essential for a proper understanding of quantum mechanics. He includes numerous solved and unsolved problems, and enough hints for the unsolved problems to make the book self-sufficient. Developed through many years of lecture notes, Vector Spaces and Matrices in Physics was written primarily as a graduate and post-graduate textbook and as a reference for physicists. Its clear presentation and concise but thorough coverage, however, make it useful for engineers, chemists, economists, and anyone who needs a background in matrices for application in other areas.

Author : Robert Karl Eisenschitz
Publisher : Springer
Page : 130 pages
File Size : 47,6 Mb
Release : 2013-11-11
Category : Mathematics
ISBN : 9781489964311

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Matrix Algebra for Physicists by Robert Karl Eisenschitz Pdf

Author : Pamela Liebeck
Publisher : Pergamon
Page : 198 pages
File Size : 42,6 Mb
Release : 1971
Category : Matrices
ISBN : UOM:39076006351758

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Vectors and Matrices by Pamela Liebeck Pdf

Author : Kenneth Kuttler,Ilijas Farah
Publisher : Unknown
Page : 586 pages
File Size : 44,9 Mb
Release : 2020
Category : Algebras, Linear
ISBN : OCLC:1252786692

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A First Course in Linear Algebra by Kenneth Kuttler,Ilijas Farah Pdf

"A First Course in Linear Algebra, originally by K. Kuttler, has been redesigned by the Lyryx editorial team as a first course for the general students who have an understanding of basic high school algebra and intend to be users of linear algebra methods in their profession, from business & economics to science students. All major topics of linear algebra are available in detail, as well as justifications of important results. In addition, connections to topics covered in advanced courses are introduced. The textbook is designed in a modular fashion to maximize flexibility and facilitate adaptation to a given course outline and student profile. Each chapter begins with a list of student learning outcomes, and examples and diagrams are given throughout the text to reinforce ideas and provide guidance on how to approach various problems. Suggested exercises are included at the end of each section, with selected answers at the end of the textbook."--BCcampus website.

Author : Klaus Jänich
Publisher : Springer Science & Business Media
Page : 214 pages
File Size : 45,7 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461242987

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Linear Algebra by Klaus Jänich Pdf

This book covers the material of an introductory course in linear algebra. Topics include sets and maps, vector spaces, bases, linear maps, matrices, determinants, systems of linear equations, Euclidean spaces, eigenvalues and eigenvectors, diagonalization of self-adjoint operators, and classification of matrices. It contains multiple choice tests with commented answers.

Author : Datta, Kanti Bhushan
Publisher : PHI Learning Pvt. Ltd.
Page : 666 pages
File Size : 43,6 Mb
Release : 2008-07-30
Category : Mathematics
ISBN : 9788120336186

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Matrix And Linear Algebra, Edition 2 by Datta, Kanti Bhushan Pdf

The present book, renamed Matrix and Linear Algebra: Aided with MATLAB, is a completely re-organized, thoroughly revised and fully updated version of the author’s earlier book Matrix and Linear Algebra. This second edition of the well-received textbook, propelled by the motivation of introducing MATLAB for the study of the numerical aspect of matrix theory, has been developed after taking into account the recent changes in university syllabi, additional pedagogic features needed, as well as the latest developments in the subject areas of Matrix Algebra and Linear Algebra. The use of MATLAB macros throughout the book is the most interesting feature of this edition. Besides, the second edition significantly improves the coverage of all major topics in the two allied subject areas, such as the topics on matrices, determinants, vector spaces, bilinear transformations, and numerical techniques, that were presented in the first edition. New to the Second Edition  Sections on  MATLAB operations (at the end of most chapters)  Square root, sine, cosine, and logarithm of a matrix  Solution of vector-matrix differential equations  Extensively revised presentation of a section on decomposition of root subspaces  Enhanced discussion of many existing topics  Increased numbers of chapter-end problems and worked-out examples  Many redrawn figures for greater clarity  An exhaustive Solutions Manual for instructors teaching this subject. The book is highly suitable for undergraduate and postgraduate students of Mathematics, Statistics, and all engineering disciplines. It will also be a useful reference for researchers and professionals in these fields.