Essential Linear Algebra With Applications

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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.

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.

Basic Linear Algebra With Applications

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Author : Garfield C. Schmidt
language : en
Publisher:
Release Date : 1980

Basic Linear Algebra With Applications written by Garfield C. Schmidt and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with Mathematics categories.

Basic Linear Algebra

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Author : Thomas S. Blyth
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14

Basic Linear Algebra written by Thomas S. Blyth 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 2013-03-14 with Mathematics categories.

Basic Linear Algebra is a text for first year students, working from concrete examples towards abstract theorems, via tutorial-type exercises. The book explains the algebra of matrices with applications to analytic geometry, systems of linear equations, difference equations, and complex numbers. Linear equations are treated via Hermite normal forms, which provides a successful and concrete explanation of the notion of linear independence. Another highlight is the connection between linear mappings and matrices, leading to the change of basis theorem which opens the door to the notion of similarity. The authors are well known algebraists with considerable experience of teaching introductory courses on linear algebra to students at St Andrews. This book is based on one previously published by Chapman and Hall, but it has been extensively updated to include further explanatory text and fully worked solutions to the exercises that all 1st year students should be able to answer.

Introductory Linear Algebra With Applications

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Author : Bernard Kolman
language : en
Publisher: Macmillan College
Release Date : 1984

Introductory Linear Algebra With Applications written by Bernard Kolman and has been published by Macmillan College this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with Mathematics categories.

Basic Linear Algebra

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Author : T.S. Blyth
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-12-01

Basic Linear Algebra written by T.S. Blyth 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 2013-12-01 with Mathematics categories.

Basic Linear Algebra is a text for first year students leading from concrete examples to abstract theorems, via tutorial-type exercises. More exercises (of the kind a student may expect in examination papers) are grouped at the end of each section. The book covers the most important basics of any first course on linear algebra, explaining the algebra of matrices with applications to analytic geometry, systems of linear equations, difference equations and complex numbers. Linear equations are treated via Hermite normal forms which provides a successful and concrete explanation of the notion of linear independence. Another important highlight is the connection between linear mappings and matrices leading to the change of basis theorem which opens the door to the notion of similarity. This new and revised edition features additional exercises and coverage of Cramer's rule (omitted from the first edition). However, it is the new, extra chapter on computer assistance that will be ofparticular interest to readers: this will take the form of a tutorial on the use of the "LinearAlgebra" package in MAPLE 7 and will deal with all the aspects of linear algebra developed within the book.

Comprehensive Linear Algebra

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Author : Kartikeya Dutta
language : en
Publisher: Educohack Press
Release Date : 2025-02-20

Comprehensive Linear Algebra written by Kartikeya Dutta and has been published by Educohack Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-02-20 with Science categories.

"Comprehensive Linear Algebra" is an accessible resource for undergraduate students in the United States, providing an in-depth exploration of linear algebra principles and applications. Written with clarity, this book focuses on conceptual understanding and practical problem-solving skills. Starting with foundational concepts like vector spaces and linear transformations, it progresses to advanced topics such as eigenvalues and singular value decomposition. Clear explanations, examples, and exercises guide readers through the intricacies of linear algebra, empowering them to tackle complex problems confidently. The book emphasizes intuition and geometric interpretation, helping students visualize abstract concepts. Real-world applications from fields like computer science, physics, and economics demonstrate the relevance and versatility of linear algebra. Whether you're a mathematics major, aspiring engineer, or social sciences student, "Comprehensive Linear Algebra" is an invaluable companion, offering tools to excel in linear algebra and beyond.

Linear Algebra With Applications

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Author : John T. Scheick
language : en
Publisher: McGraw-Hill Science, Engineering & Mathematics
Release Date : 1997

Linear Algebra With Applications written by John T. Scheick and has been published by McGraw-Hill Science, Engineering & Mathematics this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Mathematics categories.

Designed for the second level course in linear algebra taken by your junior- or senior-level mathematics, engineering, or science majors, this text focuses on the fundamentals of linear algebra in a thematic framework which emphasizes concepts most important to applied mathematics, engineering, and science.

A Course In Linear Algebra

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Author : Raju K. George
language : en
Publisher: Springer Nature
Release Date : 2024-02-27

A Course In Linear Algebra written by Raju K. George and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-02-27 with Mathematics categories.

Designed for senior undergraduate and graduate courses in mathematics and engineering, this self-contained textbook discusses key topics in linear algebra with real-life applications. Split into two parts—theory in part I and solved problems in part II—the book makes both theoretical and applied linear algebra easily accessible. Topics such as sets and functions, vector spaces, linear transformations, eigenvalues and eigenvectors, normed spaces, and inner product spaces are discussed in part I; while in part II, over 500 meticulously solved problems show how to use linear algebra in real-life situations. A must-have book for linear algebra courses; it also serves as valuable supplementary material.

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.