Linear Algebra Concepts And Applications
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Linear Algebra Concepts And Applications
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Author : Przemyslaw Bogacki
language : en
Publisher: American Mathematical Soc.
Release Date : 2019-01-24
Linear Algebra Concepts And Applications written by Przemyslaw Bogacki 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 2019-01-24 with Algebras, Linear categories.
Linear Algebra: Concepts and Applications is designed to be used in a first linear algebra course taken by mathematics and science majors. It provides a complete coverage of core linear algebra topics, including vectors and matrices, systems of linear equations, general vector spaces, linear transformations, eigenvalues, and eigenvectors. All results are carefully, clearly, and rigorously proven. The exposition is very accessible. The applications of linear algebra are extensive and substantial—several of those recur throughout the text in different contexts, including many that elucidate concepts from multivariable calculus. Unusual features of the text include a pervasive emphasis on the geometric interpretation and viewpoint as well as a very complete treatment of the singular value decomposition. The book includes over 800 exercises and numerous references to the author's custom software Linear Algebra Toolkit.
Linear Algebra
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Author : Devendra Kumar
language : en
Publisher:
Release Date : 2012
Linear Algebra written by Devendra Kumar and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Mathematics categories.
Covers important topics of Linear equations and matrices, Vector spaces, Linear transformations, Matrix analysis, Eigenvalues and eigenvectors and Inner product spaces. This book can help the reader work on the problems of Numerical Analysis, Operations Research, Differential Equations and Engineering applications.
Application Inspired Linear Algebra
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Author : Heather A. Moon
language : en
Publisher: Springer Nature
Release Date : 2022-05-20
Application Inspired Linear Algebra written by Heather A. Moon and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-05-20 with Mathematics categories.
This textbook invites students to discover abstract ideas in linear algebra within the context of applications. Diffusion welding and radiography, the two central applications, are introduced early on and used throughout to frame the practical uses of important linear algebra concepts. Students will learn these methods through explorations, which involve making conjectures and answering open-ended questions. By approaching the subject in this way, new avenues for learning the material emerge: For example, vector spaces are introduced early as the appropriate setting for the applied problems covered; and an alternative, determinant-free method for computing eigenvalues is also illustrated. In addition to the two main applications, the authors also describe possible pathways to other applications, which fall into three main areas: Data and image analysis (including machine learning); dynamical modeling; and optimization and optimal design. Several appendices are included as well, one of which offers an insightful walkthrough of proof techniques. Instructors will also find an outline for how to use the book in a course. Additional resources can be accessed on the authors’ website, including code, data sets, and other helpful material. Application-Inspired Linear Algebra will motivate and immerse undergraduate students taking a first course in linear algebra, and will provide instructors with an indispensable, application-first approach.
Handbook Of Linear Algebra
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Author : Leslie Hogben
language : en
Publisher: CRC Press
Release Date : 2006-11-02
Handbook Of Linear Algebra written by Leslie Hogben and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-02 with Mathematics categories.
The Handbook of Linear Algebra provides comprehensive coverage of linear algebra concepts, applications, and computational software packages in an easy-to-use handbook format. The esteemed international contributors guide you from the very elementary aspects of the subject to the frontiers of current research. The book features an accessibl
Interactive Linear Algebra With Maple V
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Author : Elias Deeba
language : en
Publisher: Springer Science & Business Media
Release Date : 1998-03-16
Interactive Linear Algebra With Maple V written by Elias Deeba 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 1998-03-16 with Mathematics categories.
A complete software package consisting of the printed book and a CD-ROM (with diskettes available on request). The interactive text includes: * A graphical user interface for easy navigation through the text along with animations that explain linear algebra concepts geometrically. * Interactive lessons with emphasis on experimentation and conjecturing. * A collection of labs which strengthens the learning of the concepts. * Applications which stress modelling and the use of linear algebra in various disciplines. * A unique library of interactive "high-level" functions written in Maple V that can be used in different modes. * A stand alone testing system. The authors believe that students of mathematics should enjoy, understand, assimilate, and apply the skills and concepts they study, and, as such, here they play a fundamental and active role throughout the learning process.
Linear Algebra
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Author : Richard C. Penney
language : en
Publisher: John Wiley & Sons
Release Date : 2015-10-21
Linear Algebra written by Richard C. Penney 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 2015-10-21 with Mathematics categories.
Praise for the Third Edition “This volume is ground-breaking in terms of mathematical texts in that it does not teach from a detached perspective, but instead, looks to show students that competent mathematicians bring an intuitive understanding to the subject rather than just a master of applications.” – Electric Review A comprehensive introduction, Linear Algebra: Ideas and Applications, Fourth Edition provides a discussion of the theory and applications of linear algebra that blends abstract and computational concepts. With a focus on the development of mathematical intuition, the book emphasizes the need to understand both the applications of a particular technique and the mathematical ideas underlying the technique. The book introduces each new concept in the context of an explicit numerical example, which allows the abstract concepts to grow organically out of the necessity to solve specific problems. The intuitive discussions are consistently followed by rigorous statements of results and proofs. Linear Algebra: Ideas and Applications, Fourth Edition also features: Two new and independent sections on the rapidly developing subject of wavelets A thoroughly updated section on electrical circuit theory Illuminating applications of linear algebra with self-study questions for additional study End-of-chapter summaries and sections with true-false questions to aid readers with further comprehension of the presented material Numerous computer exercises throughout using MATLAB® code Linear Algebra: Ideas and Applications, Fourth Edition is an excellent undergraduate-level textbook for one or two semester courses for students majoring in mathematics, science, computer science, and engineering. With an emphasis on intuition development, the book is also an ideal self-study reference.
Linear Algebra And Optimization With Applications To Machine Learning Volume Ii Fundamentals Of Optimization Theory With Applications To Machine Learning
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Author : Quaintance Jocelyn
language : en
Publisher: World Scientific
Release Date : 2020-03-16
Linear Algebra And Optimization With Applications To Machine Learning Volume Ii Fundamentals Of Optimization Theory With Applications To Machine Learning written by Quaintance Jocelyn and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-03-16 with Mathematics categories.
Volume 2 applies the linear algebra concepts presented in Volume 1 to optimization problems which frequently occur throughout machine learning. This book blends theory with practice by not only carefully discussing the mathematical under pinnings of each optimization technique but by applying these techniques to linear programming, support vector machines (SVM), principal component analysis (PCA), and ridge regression. Volume 2 begins by discussing preliminary concepts of optimization theory such as metric spaces, derivatives, and the Lagrange multiplier technique for finding extrema of real valued functions. The focus then shifts to the special case of optimizing a linear function over a region determined by affine constraints, namely linear programming. Highlights include careful derivations and applications of the simplex algorithm, the dual-simplex algorithm, and the primal-dual algorithm. The theoretical heart of this book is the mathematically rigorous presentation of various nonlinear optimization methods, including but not limited to gradient decent, the Karush-Kuhn-Tucker (KKT) conditions, Lagrangian duality, alternating direction method of multipliers (ADMM), and the kernel method. These methods are carefully applied to hard margin SVM, soft margin SVM, kernel PCA, ridge regression, lasso regression, and elastic-net regression. Matlab programs implementing these methods are included.
A Formula Handbook Of Linear Algebra
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Author : N.B.Singh
language : en
Publisher: N.B. Singh
Release Date :
A Formula Handbook Of Linear Algebra written by N.B.Singh and has been published by N.B. Singh this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
"A Formula Handbook of Linear Algebra" is a comprehensive yet accessible guide designed for absolute beginners with no prior mathematical background. This book serves as a gentle introduction to the fundamental concepts of linear algebra, providing clear explanations and practical examples to aid in understanding. From basic operations and concepts to more advanced topics such as matrix factorizations and eigenvalue problems, each concept is presented in a concise and easy-to-follow manner. With a focus on clarity and simplicity, this handbook aims to empower readers to grasp the essentials of linear algebra and lay a solid foundation for further exploration in the field. Whether you're a student, professional, or enthusiast, this book is an invaluable resource for building a strong understanding of linear algebra concepts and applications.
Applications Of Linear Algebra
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Author : E. James Usiahon
language : en
Publisher: Createspace Independent Publishing Platform
Release Date : 2016-04-07
Applications Of Linear Algebra written by E. James Usiahon and has been published by Createspace Independent Publishing Platform this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-07 with categories.
Linear algebra finds a natural place in the mathematical modelling of realities; thus, its benefits to physical, biological and social sciences cannot be gainsaid. Moreover, the application of linear algebra concepts to suitable systems helps to achieve deeper insights into such systems, and also to make useful generalizations. This book, application of linear algebra, has been written to satisfy the requirement of undergraduate students of mathematics, engineering, physics, actuarial science, statistics, chemistry, economics, and as many as need to apply linear algebra to their studies and research. It is also a very useful tool for students preparing for the SAT2 Mathematics, A- level Cambridge Mathematics and Further Mathematics, and GRE subject test in Mathematics. The book deals with the application of linear algebra to: linear systems of algebraic equations, least-square approximation, conics and quadratic surfaces, Optics, and systems of constant-coefficient linear ordinary differential equations, as well as intermediary topics needed to make the book a coherent whole. In an attempt to make the subject more substantial and less formal, I have provided the reader with enough computational examples, considering the wide range of my intended audience. However, I have also interspersed this material with some rigorous proofs in order to meet the demand of the more advanced reader as abstraction and rigor cannot be totally eliminated from any useful linear algebra textbook.
Linear Algebra And Its Applications
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Author : David C. Lay
language : en
Publisher:
Release Date : 2016
Linear Algebra And Its Applications written by David C. Lay and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016 with Algebras, Linear categories.
With traditional linear algebra texts, the course is relatively easy for students during the early stages as material is presented in a familiar, concrete setting. However, when abstract concepts are introduced, students often hit a wall. Instructors seem to agree that certain concepts (such as linear independence, spanning, subspace, vector space, and linear transformations) are not easily understood and require time to assimilate. These concepts are fundamental to the study of linear algebra, so students' understanding of them is vital to mastering the subject. This text makes these concepts more accessible by introducing them early in a familiar, concrete Rn setting, developing them gradually, and returning to them throughout the text so that when they are discussed in the abstract, students are readily able to understand. KEY TOPICS: Linear Equations in Linear Algebra; Matrix Algebra; Determinants; Vector Spaces; Eigenvalues and Eigenvectors; Orthogonality and Least Squares; Symmetric Matrices and Quadratic Forms; The Geometry of Vector Spaces; Optimization; Finite-State Markov Chains MARKET: for all readers interested in linear algebra. NOTE: Before purchasing, check with your instructor to ensure you select the correct ISBN. Several versions of Pearson's MyLab & Mastering products exist for each title, and registrations are not transferable. To register for and use Pearson's MyLab & Mastering products, you may also need a Course ID, which your instructor will provide. Used books, rentals, and purchases made outside of Pearson If purchasing or renting from companies other than Pearson, the access codes for Pearson's MyLab & Mastering products may not be included, may be incorrect, or may be previously redeemed. Check with the seller before completing your purchase. Note: You are purchasing a standalone product; MyMathLab does not come packaged with this content. MyMathLab is not a self-paced technology and should only be purchased when required by an instructor. If you would like to purchase both the physical text and MyMathLab, search for: 9780134022697 / 0134022696 Linear Algebra and Its Applications plus New MyMathLab with Pearson eText -- Access Card Package, 5/e