Matrix Operations For Engineers And Scientists
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Author | : Alan Jeffrey |
Publisher | : |
Total Pages | : |
Release | : 2010 |
Genre | : Algebras, Linear |
ISBN | : 9789048192755 |
Engineers and scientists need to have an introduction to the basics of linear algebra in a context they understand. Computer algebra systems make the manipulation of matrices and the determination of their properties a simple matter, and in practical applications such software is often essential. However, using this tool when learning about matrices, without first gaining a proper understanding of the underlying theory, limits the ability to use matrices and to apply them to new problems. This book explains matrices in the detail required by engineering or science students, and it discusses linear systems of ordinary differential equations. These students require a straightforward introduction to linear algebra illustrated by applications to which they can relate. It caters of the needs of undergraduate engineers in all disciplines, and provides considerable detail where it is likely to be helpful. According to the author the best way to understand the theory of matrices is by working simple exercises designed to emphasize the theory, that at the same time avoid distractions caused by unnecessary numerical calculations. Hence, examples and exercises in this book have been constructed in such a way that wherever calculations are necessary they are straightforward. For example, when a characteristic equation occurs, its roots (the eigenvalues of a matrix) can be found by inspection. The author of this book is Alan Jeffrey, Emeritus Professor of mathematics at the Univesity of Newcastle upon Tyne. He has given courses on engineering mathematics in UK and US Universities.
Author | : Alan Jeffrey |
Publisher | : Springer Science & Business Media |
Total Pages | : 323 |
Release | : 2010-09-05 |
Genre | : Science |
ISBN | : 9048192749 |
Engineers and scientists need to have an introduction to the basics of linear algebra in a context they understand. Computer algebra systems make the manipulation of matrices and the determination of their properties a simple matter, and in practical applications such software is often essential. However, using this tool when learning about matrices, without first gaining a proper understanding of the underlying theory, limits the ability to use matrices and to apply them to new problems. This book explains matrices in the detail required by engineering or science students, and it discusses linear systems of ordinary differential equations. These students require a straightforward introduction to linear algebra illustrated by applications to which they can relate. It caters of the needs of undergraduate engineers in all disciplines, and provides considerable detail where it is likely to be helpful. According to the author the best way to understand the theory of matrices is by working simple exercises designed to emphasize the theory, that at the same time avoid distractions caused by unnecessary numerical calculations. Hence, examples and exercises in this book have been constructed in such a way that wherever calculations are necessary they are straightforward. For example, when a characteristic equation occurs, its roots (the eigenvalues of a matrix) can be found by inspection. The author of this book is Alan Jeffrey, Emeritus Professor of mathematics at the University of Newcastle upon Tyne. He has given courses on engineering mathematics at UK and US Universities.
Author | : Alan Jennings |
Publisher | : John Wiley & Sons |
Total Pages | : 356 |
Release | : 1977 |
Genre | : Computers |
ISBN | : |
Author | : Alan J. Laub |
Publisher | : SIAM |
Total Pages | : 159 |
Release | : 2005-01-01 |
Genre | : Mathematics |
ISBN | : 0898715768 |
"Prerequisites for using this text are knowledge of calculus and some previous exposure to matrices and linear algebra, including, for example, a basic knowledge of determinants, singularity of matrices, eigenvalues and eigenvectors, and positive definite matrices. There are exercises at the end of each chapter."--BOOK JACKET.
Author | : Alexander Graham |
Publisher | : Courier Dover Publications |
Total Pages | : 305 |
Release | : 2018-07-18 |
Genre | : Mathematics |
ISBN | : 0486824195 |
In this comprehensive text on matrix theory and its applications, Graham explores the underlying principles as well as the numerous applications of the various concepts presented. Includes numerous problems with solutions. 1979 edition.
Author | : Stephen Barnett |
Publisher | : McGraw-Hill College |
Total Pages | : 185 |
Release | : 1979 |
Genre | : Mathematics |
ISBN | : 9780070840843 |
Author | : Assem S. Deif |
Publisher | : CRC Press |
Total Pages | : 318 |
Release | : 1990-01-31 |
Genre | : Mathematics |
ISBN | : 9780856263279 |
Author | : Steven Chapra |
Publisher | : McGraw Hill |
Total Pages | : 672 |
Release | : 2011-05-16 |
Genre | : Technology & Engineering |
ISBN | : 0077144880 |
Steven Chapra’s Applied Numerical Methods with MATLAB, third edition, is written for engineering and science students who need to learn numerical problem solving. Theory is introduced to inform key concepts which are framed in applications and demonstrated using MATLAB. The book is designed for a one-semester or one-quarter course in numerical methods typically taken by undergraduates. The third edition features new chapters on Eigenvalues and Fourier Analysis and is accompanied by an extensive set of m-files and instructor materials.
Author | : David E. Clough |
Publisher | : CRC Press |
Total Pages | : 452 |
Release | : 2023-10-19 |
Genre | : Mathematics |
ISBN | : 1000966275 |
1) Provides a unique contribution to a gap in the market, presenting a comprehensive guide to spreadsheet use for modern engineers 2) Builds on decades of teaching experience from two experts in the field 3) Introduces Visual Basic for Applications and macros 4) Includes topics such as Numerical applications and applied statistics.
Author | : Kevin W. Cassel |
Publisher | : Cambridge University Press |
Total Pages | : 728 |
Release | : 2021-03-04 |
Genre | : Technology & Engineering |
ISBN | : 1108787622 |
Address vector and matrix methods necessary in numerical methods and optimization of linear systems in engineering with this unified text. Treats the mathematical models that describe and predict the evolution of our processes and systems, and the numerical methods required to obtain approximate solutions. Explores the dynamical systems theory used to describe and characterize system behaviour, alongside the techniques used to optimize their performance. Integrates and unifies matrix and eigenfunction methods with their applications in numerical and optimization methods. Consolidating, generalizing, and unifying these topics into a single coherent subject, this practical resource is suitable for advanced undergraduate students and graduate students in engineering, physical sciences, and applied mathematics.