Linear Algebra For The 21st Century
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Linear Algebra For The 21st Century
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Author : Anthony Roberts
language : en
Publisher:
Release Date : 2020
Linear Algebra For The 21st Century written by Anthony Roberts and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020 with Mathematics categories.
Linear Algebra for 21st Century Applications adapts linear algebra to best suit modern teaching and application, and it places SVD as central to the text early on to empower the students in these disciplines to learn and use the best techniques.
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
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Author : Jörg Liesen
language : en
Publisher: Springer
Release Date : 2015-11-20
Linear Algebra written by Jörg Liesen and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-11-20 with Mathematics categories.
This self-contained textbook takes a matrix-oriented approach to linear algebra and presents a complete theory, including all details and proofs, culminating in the Jordan canonical form and its proof. Throughout the development, the applicability of the results is highlighted. Additionally, the book presents special topics from applied linear algebra including matrix functions, the singular value decomposition, the Kronecker product and linear matrix equations. The matrix-oriented approach to linear algebra leads to a better intuition and a deeper understanding of the abstract concepts, and therefore simplifies their use in real world applications. Some of these applications are presented in detailed examples. In several ‘MATLAB-Minutes’ students can comprehend the concepts and results using computational experiments. Necessary basics for the use of MATLAB are presented in a short introduction. Students can also actively work with the material and practice their mathematical skills in more than 300 exercises.
Linear Algebra
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Author : Kuldeep Singh
language : en
Publisher: Oxford University Press
Release Date : 2013-10
Linear Algebra written by Kuldeep Singh 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 2013-10 with Mathematics categories.
"This book is intended for first- and second-year undergraduates arriving with average mathematics grades ... The strength of the text is in the large number of examples and the step-by-step explanation of each topic as it is introduced. It is compiled in a way that allows distance learning, with explicit solutions to all of the set problems freely available online http://www.oup.co.uk/companion/singh" -- From preface.
Mathematics In The 21st Century
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Author : Pierre Cartier
language : en
Publisher: Springer
Release Date : 2014-11-15
Mathematics In The 21st Century written by Pierre Cartier and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-11-15 with Mathematics categories.
Numerous well-presented and important papers from the conference are gathered in the proceedings for the purpose of pointing directions for useful future research in diverse areas of mathematics including algebraic geometry, analysis, commutative algebra, complex analysis, discrete mathematics, dynamical systems, number theory and topology. Several papers on computational and applied mathematics such as wavelet analysis, quantum mechanics, piecewise linear modeling, cosmological models of super symmetry, fluid dynamics, interpolation theory, optimization, ergodic theory and games theory are also presented.
Linear Models And The Relevant Distributions And Matrix Algebra
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Author : David A. Harville
language : en
Publisher: CRC Press
Release Date : 2023-10-23
Linear Models And The Relevant Distributions And Matrix Algebra written by David A. Harville and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-10-23 with Mathematics categories.
Linear Models and the Relevant Distributions and Matrix Algebra: A Unified Approach, Volume 2 covers several important topics that were not included in the first volume. The second volume complements the first, providing detailed solutions to the exercises in both volumes, thereby greatly enhancing its appeal for use in advanced statistics programs. This volume can serve as a valuable reference. It can also serve as a resource in a mathematical statistics course for use in illustrating various theoretical concepts in the context of a relatively complex setting of great practical importance. Together with the first volume, this volume provides a largely self-contained treatment of an important area of statistics and should prove highly useful to graduate students and others. Key Features: Includes solutions to the exercises from both the first and second volumes Includes coverage of several topics not covered in the first volume Highly valuable as a reference book for graduate students and researchers
Linear Algebra
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Author : Jeff Suzuki
language : en
Publisher: CRC Press
Release Date : 2021
Linear Algebra written by Jeff Suzuki and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021 with Mathematics categories.
Linear Algebra: An Inquiry-based Approach is written to give instructors a tool to teach students to develop a mathematical concept from first principles. The Inquiry-based Approach is central to this development. The text is organized around and offers the standard topics expected in a first undergraduate course in linear algebra. In our approach, students begin with a problem and develop the mathematics necessary to describe, solve, and generalize it. Thus students learn a vital skill for the 21st century: the ability to create a solution to a problem. This text is offered to foster an environment that supports the creative process. The twin goals of this textbook are: Providing opportunities to be creative, Teaching "ways of thinking" that will make it easier for to be creative. To motivate the development of the concepts and techniques of linear algebra, we include more than two hundred Activities on a wide range of problems, from purely mathematical questions, through applications in biology, computer science, cryptography, and more. Table of Contents Introduction and Features For the Student . . . and Teacher Prerequisites Suggested Sequences 1. Tuples and Vectors 2. Systems of Linear Equations 3. Transformations 4. Matrix Algebra 5. Vector Spaces 6. Determinants 7. Eigenvalues and Eigenvectors 8. Decomposition 9. Extras Bibliography Index Bibliography Jeff Suzuki is Associate Professor of Mathematics at Brooklyn College and holds a Ph.D. from Boston University. His research interests include mathematics education, history of mathematics, and the application of mathematics to society and technology. He is a two-time winner of the prestigious Carl B. Allendoerfer Award for expository writing. His publications have appeared in The College Mathematics Journals; Mathematics Magazine; Mathematics Teacher; and the American Mathematical Society's blog on teaching and learning mathematics. His YouTube channel (http://youtube.com/jeffsuzuki1) includes videos on mathematical subjects ranging from elementary arithmetic to linear algebra, cryptography, and differential equations.
Linear Algebra And Analytic Geometry
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Author : Bennie Marsh & Frankie Murray
language : en
Publisher: Scientific e-Resources
Release Date : 2018-01-18
Linear Algebra And Analytic Geometry written by Bennie Marsh & Frankie Murray and has been published by Scientific e-Resources this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-01-18 with categories.
In this book, the topics are presented in the same order as in the textbook. The problems concern two content areas: Linear Algebra, and Analytical Geometry. After reading this book, a student should be ables to solve linear equations and to perform the basic operations on numbers and algebraic expressions. The Linear Algebra tests will reveal readers' knowledge and skills, readers' abilities in interpreting symbols, justifying statements and constructing proofs. Readers should be able to apply the properties of determinants and matrix operations and solve linear systems of equations. The Analytical Geometry topics include different forms of equations of straight lines and planes; angles between simple figures; the curves of the second order. This book will prove definitive and ideal reference tool to research scholars, academicians and educationists.
Linear Algebra
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Author : Richard Bronson
language : en
Publisher: Academic Press
Release Date : 2013-10-08
Linear Algebra written by Richard Bronson and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10-08 with Mathematics categories.
In this appealing and well-written text, Richard Bronson starts with the concrete and computational, and leads the reader to a choice of major applications. The first three chapters address the basics: matrices, vector spaces, and linear transformations. The next three cover eigenvalues, Euclidean inner products, and Jordan canonical forms, offering possibilities that can be tailored to the instructor's taste and to the length of the course. Bronson's approach to computation is modern and algorithmic, and his theory is clean and straightforward. Throughout, the views of the theory presented are broad and balanced and key material is highlighted in the text and summarized at the end of each chapter. The book also includes ample exercises with answers and hints. Prerequisite: One year of calculus is recommended. - Introduces deductive reasoning and helps the reader develop a facility with mathematical proofs - Provides a balanced approach to computation and theory by offering computational algorithms for finding eigenvalues and eigenvectors - Offers excellent exercise sets, ranging from drill to theoretical/challeging along with useful and interesting applications not found in other introductory linear algebra texts
Linear Perspectives A Journey Through Vector Spaces
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Author : Pasquale De Marco
language : en
Publisher: Pasquale De Marco
Release Date : 2025-07-13
Linear Perspectives A Journey Through Vector Spaces written by Pasquale De Marco and has been published by Pasquale De Marco this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-07-13 with Mathematics categories.
Embark on a transformative journey into the world of linear algebra with "Linear Perspectives: A Journey Through Vector Spaces", a comprehensive guide that unveils the elegance and power of this fundamental mathematical discipline. Written with clarity and accessibility, this book invites readers of all backgrounds to explore the captivating world of vectors, matrices, and linear transformations. Discover the essence of vector spaces, the underlying structures that govern the behavior of vectors. Delve into linear combinations, subspaces, linear independence, and dimension, gaining a deep understanding of the fundamental building blocks of linear algebra. Unravel the mysteries of linear transformations, powerful mathematical tools that map vectors from one space to another. Explore the concept of invertibility, unlocking the conditions under which a linear transformation can be reversed. Witness the elegance of matrix representations, providing a concise and efficient way to manipulate and analyze linear transformations. Journey into the realm of inner product spaces, a special class of vector spaces where vectors can be measured and compared using an inner product. Discover the beauty of orthogonality, projections, and the Gram-Schmidt process, unlocking new insights into solving systems of linear equations and understanding the geometry of vector spaces. Encounter eigenvalues and eigenvectors, two fundamental concepts that reveal the secrets of linear operators. Learn how eigenvalues and eigenvectors can be used to diagonalize matrices, transforming them into a simpler and more easily understandable form. Delve into the profound implications of the spectral theorem, a cornerstone of linear algebra that provides a deep and insightful understanding of linear operators. Explore the diverse applications of linear algebra across a wide range of disciplines, from computer graphics and machine learning to quantum mechanics, economics, and signal processing. Witness the remarkable versatility of linear algebra as it empowers researchers and practitioners to solve complex problems and gain new insights into the world around us. "Linear Perspectives: A Journey Through Vector Spaces" is an essential resource for students, researchers, and professionals seeking a comprehensive and engaging introduction to linear algebra. With its clear explanations, insightful examples, and thought-provoking exercises, this book will transform your understanding of this fundamental mathematical discipline and open up new avenues of exploration and discovery. If you like this book, write a review!