Essential Linear Algebra
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Essential Linear Algebra
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Author : Jared M. Maruskin
language : en
Publisher: Solar Crest Publishing LLC
Release Date : 2012-12
Essential Linear Algebra written by Jared M. Maruskin and has been published by Solar Crest Publishing LLC this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12 with Mathematics categories.
This text introduces linear algebra--boiled to its essence--presented in a clear and concise fashion. Designed around a single-semester undergraduate course, Essential Linear Algebra introduces key concepts, various real-world applications, and provides detailed yet understandable proofs of key results that are aimed towards students with no advanced preparation in proof writing. The level of sophistication gradually increases from beginning to end in order to prepare students for subsequent studies.We begin with a detailed introduction to systems of linear equations and elementary row operations. We then advance to a discussion of linear transformations, which provide a second, more geometric, interpretation of the operation of matrix-vector product. We go on to introduce vector spaces and their subspaces, the image and kernel of a transformation, and change of coordinates. Following, we discuss matrices of orthogonal projections and orthogonal matrices. Our penultimate chapter is devoted to the theory of determinants, which are presented, first, in terms of area and volume expansion factors of 2x2 and 3x3 matrices, respectively. We use a geometric understanding of volume in n-dimensions to introduce general determinants axiomatically as multilinear, antisymmetric mappings, and prove existence and uniqueness. Our final chapter is devoted to the theory of eigenvalues and eigenvectors. We conclude with a number of discussions on various types of diagonalization: real, complex, and orthogonal.
Essential Linear Algebra With Applications
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Author : Titu Andreescu
language : en
Publisher: Birkhäuser
Release Date : 2014-10-15
Essential Linear Algebra With Applications written by Titu Andreescu and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-10-15 with Mathematics categories.
Rooted in a pedagogically successful problem-solving approach to linear algebra, the present work fills a gap in the literature that is sharply divided between elementary texts and books that are too advanced to appeal to a wide audience. It clearly develops the theoretical foundations of vector spaces, linear equations, matrix algebra, eigenvectors, and orthogonality, while simultaneously emphasizing applications and connections to fields such as biology, economics, computer graphics, electrical engineering, cryptography, and political science. Ideal as an introduction to linear algebra, the extensive exercises and well-chosen applications also make this text suitable for advanced courses at the junior or senior undergraduate level. Furthermore, it can serve as a colorful supplementary problem book, reference, or self-study manual for professional scientists and mathematicians. Complete with bibliography and index, "Essential Linear Algebra with Applications" is a natural bridge between pure and applied mathematics and the natural and social sciences, appropriate for any student or researcher who needs a strong footing in the theory, problem-solving, and model-building that are the subject’s hallmark.
Essential Linear Algebra
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Author : Lattanzio
language : en
Publisher:
Release Date : 1753
Essential Linear Algebra written by Lattanzio and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1753 with categories.
Essential Linear Algebra With Applications
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Author : Titu Andreescu
language : en
Publisher: Springer
Release Date : 2014-10-14
Essential Linear Algebra With Applications written by Titu Andreescu and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-10-14 with Mathematics categories.
Rooted in a pedagogically successful problem-solving approach to linear algebra, the present work fills a gap in the literature that is sharply divided between elementary texts and books that are too advanced to appeal to a wide audience. It clearly develops the theoretical foundations of vector spaces, linear equations, matrix algebra, eigenvectors, and orthogonality, while simultaneously emphasizing applications and connections to fields such as biology, economics, computer graphics, electrical engineering, cryptography, and political science. Ideal as an introduction to linear algebra, the extensive exercises and well-chosen applications also make this text suitable for advanced courses at the junior or senior undergraduate level. Furthermore, it can serve as a colorful supplementary problem book, reference, or self-study manual for professional scientists and mathematicians. Complete with bibliography and index, "Essential Linear Algebra with Applications" is a natural bridge between pure and applied mathematics and the natural and social sciences, appropriate for any student or researcher who needs a strong footing in the theory, problem-solving, and model-building that are the subject’s hallmark.
Market Risk Analysis Quantitative Methods In Finance
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Author : Carol Alexander
language : en
Publisher: John Wiley & Sons
Release Date : 2008-04-30
Market Risk Analysis Quantitative Methods In Finance written by Carol Alexander and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-04-30 with Business & Economics categories.
Written by leading market risk academic, Professor Carol Alexander, Quantitative Methods in Finance forms part one of the Market Risk Analysis four volume set. Starting from the basics, this book helps readers to take the first step towards becoming a properly qualified financial risk manager and asset manager, roles that are currently in huge demand. Accessible to intelligent readers with a moderate understanding of mathematics at high school level or to anyone with a university degree in mathematics, physics or engineering, no prior knowledge of finance is necessary. Instead the emphasis is on understanding ideas rather than on mathematical rigour, meaning that this book offers a fast-track introduction to financial analysis for readers with some quantitative background, highlighting those areas of mathematics that are particularly relevant to solving problems in financial risk management and asset management. Unique to this book is a focus on both continuous and discrete time finance so that Quantitative Methods in Finance is not only about the application of mathematics to finance; it also explains, in very pedagogical terms, how the continuous time and discrete time finance disciplines meet, providing a comprehensive, highly accessible guide which will provide readers with the tools to start applying their knowledge immediately. All together, the Market Risk Analysis four volume set illustrates virtually every concept or formula with a practical, numerical example or a longer, empirical case study. Across all four volumes there are approximately 300 numerical and empirical examples, 400 graphs and figures and 30 case studies many of which are contained in interactive Excel spreadsheets available from the accompanying CD-ROM . Empirical examples and case studies specific to this volume include: Principal component analysis of European equity indices; Calibration of Student t distribution by maximum likelihood; Orthogonal regression and estimation of equity factor models; Simulations of geometric Brownian motion, and of correlated Student t variables; Pricing European and American options with binomial trees, and European options with the Black-Scholes-Merton formula; Cubic spline fitting of yields curves and implied volatilities; Solution of Markowitz problem with no short sales and other constraints; Calculation of risk adjusted performance metrics including generalised Sharpe ratio, omega and kappa indices.
Linear Algebra For The 21st Century
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Author : Anthony Roberts
language : en
Publisher: Oxford University Press
Release Date : 2020-10-09
Linear Algebra For The 21st Century written by Anthony Roberts and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-10-09 with Science categories.
Customarily, much of traditional mathematics curricula was predicated on 'by hand' calculation. However, ubiquitous computing requires us to refresh what we teach and how it is taught. This is especially true in the rapidly broadening fields of Data Mining and Artificial Intelligence, and also in fields such as Bioinformatics, which all require the use of Singular Value Decomposition (SVD). Indeed, SVD is sometimes called the jewel in the crown of linear algebra. Linear Algebra for 21st Century Applications adapts linear algebra to best suit modern teaching and application, and it places the SVD as central to the text early on to empower science and engineering students to learn and use potent practical and theoretical techniques. No rigour is lost in this new route as the text demonstrates that most theory is better proved with an SVD. In addition to this, there is earlier introduction, development, and emphasis on orthogonality that is vital in so many applied disciplines throughout science, engineering, computing and increasingly within the social sciences. To assimilate the so-called third arm of science, namely computing, Matlab/Octave computation is explicitly integrated into developing the mathematical concepts and applications. A strong graphical emphasis takes advantage of the power of visualisation in the human brain and examples are included to exhibit modern applications of linear algebra, such as GPS, text mining, and image processing. Active learning is encouraged with exercises throughout that are aimed to enhance ectures, quizzes, or 'flipped' teaching.
Linear Algebra Theory And Applications
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Author : Dr. Mahesh Kumar Jayaswal, Dr. Ankita Tiwari, Mr. Kuldeep, Dr. B. Shoba
language : en
Publisher: BR Publications
Release Date : 2025-09-01
Linear Algebra Theory And Applications written by Dr. Mahesh Kumar Jayaswal, Dr. Ankita Tiwari, Mr. Kuldeep, Dr. B. Shoba and has been published by BR Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-09-01 with Mathematics categories.
Linear Algebra: Theory and Applications explores the foundational concepts of vector spaces, matrices, linear transformations, and eigenvalues, emphasizing both theoretical understanding and practical problem-solving. It connects abstract mathematical principles to real-world applications in engineering, computer science, data analysis, and physics.
Matrix Operations For Engineers And Scientists
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Author : Alan Jeffrey
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-09-05
Matrix Operations For Engineers And Scientists written by Alan Jeffrey and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-09-05 with Science categories.
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.
Linear Algebra And Numerical Methods
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Author : Mr. Dokku SankaraRao, Dr. A. Thangam, Mr. Prassan Sharma, Dr. S. Ragamayi
language : en
Publisher: BR Publications
Release Date : 2025-11-11
Linear Algebra And Numerical Methods written by Mr. Dokku SankaraRao, Dr. A. Thangam, Mr. Prassan Sharma, Dr. S. Ragamayi and has been published by BR Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-11-11 with Mathematics categories.
Linear Algebra and Numerical Methods combines essential mathematical tools for solving real-world engineering and scientific problems. The linear algebra component includes vector spaces, matrices, eigenvalues, eigenvectors, and systems of linear equations. The numerical methods section covers iterative techniques, interpolation, numerical differentiation and integration, error analysis, and solving nonlinear equations. Together, the course equips students with analytical and computational skills to handle mathematical modeling, simulations, and engineering computations.
Schaum S Outline Of Linear Algebra Fourth Edition
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Author : Seymour Lipschutz
language : en
Publisher: McGraw Hill Professional
Release Date : 2008-08-31
Schaum S Outline Of Linear Algebra Fourth Edition written by Seymour Lipschutz and has been published by McGraw Hill Professional this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-08-31 with Study Aids categories.
Schaum's has Satisfied Students for 50 Years. Now Schaum's Biggest Sellers are in New Editions! For half a century, more than 40 million students have trusted Schaum's to help them study faster, learn better, and get top grades. Now Schaum's celebrates its 50th birthday with a brand-new look, a new format with hundreds of practice problems, and completely updated information to conform to the latest developments in every field of study. Schaum's Outlines-Problem Solved More than 500,000 sold! Linear algebra is a foundation course for students entering mathematics, engineering, and computer science, and the fourth edition includes more problems connected directly with applications to these majors. It is also updated throughout to include new essential appendices in algebraic systems, polynomials, and matrix applications.