Vectors And Matrices

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Vectors Matrices And Geometry

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Author : K.T. Leung
language : en
Publisher: Hong Kong University Press
Release Date : 1994-08-01

Vectors Matrices And Geometry written by K.T. Leung and has been published by Hong Kong University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-08-01 with Mathematics categories.

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).

Introduction To Matrices And Vectors

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Author : Jacob T. Schwartz
language : en
Publisher: Courier Corporation
Release Date : 2012-05-23

Introduction To Matrices And Vectors written by Jacob T. Schwartz and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-05-23 with Mathematics categories.

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.

Analytic Geometry With An Introduction To Vectors And Matrices

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Author : David Carruthers Murdoch
language : en
Publisher: New York : J. Wiley & Sons
Release Date : 1966

Analytic Geometry With An Introduction To Vectors And Matrices written by David Carruthers Murdoch and has been published by New York : J. Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 1966 with Geometry, Analytic categories.

Vectors And Matrices

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Author : Pamela Liebeck
language : en
Publisher: Elsevier
Release Date : 2014-05-09

Vectors And Matrices written by Pamela Liebeck and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-09 with Mathematics categories.

Vectors and Matrices provides a progressive approach to vectors and matrices. The first half of this book is devoted to geometry, introducing matrices through its association with geometry mappings, while the rest of the chapters focus on the importance of matrices in non-geometric situations, such as the theory of linear equations and eigenvector theory. The power of eigenvector theory and its application to some problems in biology, probability, and genetics are also reviewed. Other topics include the product of scalar and vector, vector equation of a line, linear dependence, three-dimensional mappings, and orthogonal matrices. The transpose of a matrix and vector, rectangular matrices, inverse of a square matrix, and eigenvectors of a matrix are likewise emphasized in this text. This publication is beneficial to students and researchers conducting work on vectors and matrices.

Vectors And Matrices

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Author : Cyrus Colton MacDuffee
language : en
Publisher: American Mathematical Soc.
Release Date : 1943-12-31

Vectors And Matrices written by Cyrus Colton MacDuffee and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1943-12-31 with Mathematics categories.

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.

Introduction To Applied Linear Algebra

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Author : Stephen Boyd
language : en
Publisher: Cambridge University Press
Release Date : 2018-06-07

Introduction To Applied Linear Algebra written by Stephen Boyd and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-06-07 with Business & Economics categories.

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

Vectors Matrices Quaternions

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Author : Eliakim Hastings Moore
language : en
Publisher:
Release Date : 1924

Vectors Matrices Quaternions written by Eliakim Hastings Moore and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1924 with Algebra, Universal categories.

Vectors And Matrices

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Author : Lawrence L. Schkade
language : en
Publisher:
Release Date : 1967

Vectors And Matrices written by Lawrence L. Schkade and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1967 with Matrices categories.

Linear Algebra

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Author : Alan Tucker
language : en
Publisher: Macmillan College
Release Date : 1993

Linear Algebra written by Alan Tucker and has been published by Macmillan College this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Mathematics categories.

Covers the fundamental role of linear algebra with both pure and applied mathematics as well as client disciplines such as engineering, the physical sciences and economics. This text examines the interrelationships amongst theory, computation and applications.

Matrices And Tensors In Physics

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Author : A. W. Joshi
language : en
Publisher: New Age International
Release Date : 1995

Matrices And Tensors In Physics written by A. W. Joshi and has been published by New Age International this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Mathematics categories.

The First Part Of This Book Begins With An Introduction To Matrices Through Linear Transformations On Vector Spaces, Followed By A Discussion On The Algebra Of Matrices, Special Matrices, Linear Equations, The Eigenvalue Problem, Bilinear And Quadratic Forms, Kronecker Sum And Product Of Matrices. Other Matrices Which Occur In Physics, Such As The Rotation Matrix, Pauli Spin Matrices And Dirac Matrices, Are Then Presented. A Brief Account Of Infinite Matrices From The Point Of View Of Matrix Formulation Of Quantum Mechanics Is Also Included. The Emphasis In This Part Is On Linear Dependence And Independence Of Vectors And Matrices, Linear Combinations, Independent Parameters Of Various Special Matrices And Such Other Concepts As Help The Student In Obtaining A Clear Understanding Of The Subject. A Simplified Proof Of The Theorem That A Common Set Of Eigenvectors Can Be Found For Two Commuting Matrices Is Given. The Second Part Deals With Cartesian And General Tensors. Many Physical Situations Are Discussed Which Require The Use Of Second And Higher Rank Tensors, Such As Effective Mass Tensor, Moment Of Inertia Tensor, Stress, Strain And Elastic Constants, Piezoelectric Strain Coefficient Tensor, Etc. Einsteins Summation Convention Is Explained In Detail And Common Errors Arising In Its Use Are Pointed Out. Rules For Checking The Correctness Of Tensor Equations Are Given. This Is Followed By Four-Vectors In Special Relativity And Covarient Formulation Of Electrodynamics. This Part Comes To An End With The Concept Of Parallel Displacement Of Vectors In Riemannian Space And Covariant Derivative Of Tensors, Leading To The Curvature Tensors And Its Properties.Appendix I Has Expanded And Two New Appendices Have Been Added In This Edition.