Matrix Analysis and Applied Linear Algebra, Carl D. Meyer
Автор: Axler Sheldon Название: Linear Algebra Done Right ISBN: 3319110799 ISBN-13(EAN): 9783319110790 Издательство: Springer Рейтинг: Цена: 41920.00 T Наличие на складе: Невозможна поставка. Описание: This best-selling textbook for a second course in linear algebra is aimed at undergrad math majors and graduate students. The text focuses on the central goal of linear algebra: understanding the structure of linear operators on finite-dimensional vector spaces.
Автор: Trefethen, Lloyd N. Bau, David, Iii Название: Numerical linear algebra ISBN: 0898713617 ISBN-13(EAN): 9780898713619 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 64370.00 T Наличие на складе: Поставка под заказ. Описание: Numerical Linear Algebra is a concise, insightful, and elegant introduction to the field of numerical linear algebra.
Автор: Goodaire Edgar G Название: Linear Algebra: Pure & Applied ISBN: 9814508365 ISBN-13(EAN): 9789814508360 Издательство: World Scientific Publishing Цена: 109830.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This is a matrix-oriented approach to linear algebra that covers the traditional material of the courses generally known as "Linear Algebra I" and "Linear Algebra II" throughout North America, but it also includes more advanced topics such as the pseudoinverse and the singular value decomposition that make it appropriate for a more advanced course as well. As is becoming increasingly the norm, the book begins with the geometry of Euclidean 3-space so that important concepts like linear combination, linear independence and span can be introduced early and in a "real" context. The book reflects the author's background as a pure mathematician -- all the major definitions and theorems of basic linear algebra are covered rigorously -- but the restriction of vector spaces to Euclidean n-space and linear transformations to matrices, for the most part, and the continual emphasis on the system Ax=b, make the book less abstract and more attractive to the students of today than some others. As the subtitle suggests, however, applications play an important role too. Coding theory and least squares are recurring themes. Other applications include electric circuits, Markov chains, quadratic forms and conic sections, facial recognition and computer graphics.
Автор: Thomas S. Shores Название: Applied Linear Algebra and Matrix Analysis ISBN: 3030090671 ISBN-13(EAN): 9783030090678 Издательство: Springer Рейтинг: Цена: 49370.00 T Наличие на складе: Нет в наличии. Описание:
In its second edition, this textbook offers a fresh approach to matrix and linear algebra. Its blend of theory, computational exercises, and analytical writing projects is designed to highlight the interplay between these aspects of an application. This approach places special emphasis on linear algebra as an experimental science that provides tools for solving concrete problems.The second edition’s revised text discusses applications of linear algebra like graph theory and network modeling methods used in Google’s PageRank algorithm. Other new materials include modeling examples of diffusive processes, linear programming, image processing, digital signal processing, and Fourier analysis. These topics are woven into the core material of Gaussian elimination and other matrix operations; eigenvalues, eigenvectors, and discrete dynamical systems; and the geometrical aspects of vector spaces.Intended for a one-semester undergraduate course without a strict calculus prerequisite, Applied Linear Algebra and Matrix Analysis augments the key elements of linear algebra with a wide choice of optional sections. With the book’s selection of applications and platform-independent assignments, instructors can tailor the curriculum to suit specific interests and ensure students across various disciplines are equipped with the powerful tools of linear algebra.
Автор: Wendland Holger Название: Numerical Linear Algebra ISBN: 131660117X ISBN-13(EAN): 9781316601174 Издательство: Cambridge Academ Рейтинг: Цена: 40120.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This self-contained introduction to numerical linear algebra provides a comprehensive, yet concise, overview of the subject. This book will be of particular use to applied mathematicians, engineers, computer scientists, and to all those interested in efficiently solving linear problems.
Автор: Gill, Philip E., Название: Numerical linear algebra and optimization / ISBN: 1611976561 ISBN-13(EAN): 9781611976564 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 74410.00 T Наличие на складе: Невозможна поставка. Описание: Numerical Linear Algebra and Optimization covers the fundamentals of closely related topics: linear systems (linear equations and least-squares) and linear programming (optimizing a linear function subject to linear constraints). For each problem class, stable and efficient numerical algorithms intended for a finite-precision environment are derived and analyzed. In 1991, when the book first appeared, these topics were rarely taught with a unified perspective, and, somewhat surprisingly, this remains true almost 30 years later. As a result, some of the material in this book can be difficult to find elsewhere—in particular, techniques for updating the LU factorization, descriptions of the simplex method applied to all-inequality form, and the analysis of what happens when using an approximate inverse to solve Ax=b.This book is appropriate for students who want to learn about numerical techniques for solving linear systems and/or linear programming using the simplex method.
Автор: Hardy Yorick, Steeb Willi-Hans Название: Matrix Calculus, Kronecker Product and Tensor Product: A Practical Approach to Linear Algebra, Multilinear Algebra and Tensor Calculus with Software I ISBN: 9811202516 ISBN-13(EAN): 9789811202513 Издательство: World Scientific Publishing Рейтинг: Цена: 95040.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Our self-contained volume provides an accessible introduction to linear and multilinear algebra as well as tensor calculus. Besides the standard techniques for linear algebra, multilinear algebra and tensor calculus, many advanced topics are included where emphasis is placed on the Kronecker product and tensor product. The Kronecker product has widespread applications in signal processing, discrete wavelets, statistical physics, Hopf algebra, Yang-Baxter relations, computer graphics, fractals, quantum mechanics, quantum computing, entanglement, teleportation and partial trace. All these fields are covered comprehensively.The volume contains many detailed worked-out examples. Each chapter includes useful exercises and supplementary problems. In the last chapter, software implementations are provided for different concepts. The volume is well suited for pure and applied mathematicians as well as theoretical physicists and engineers.New topics added to the third edition are: mutually unbiased bases, Cayley transform, spectral theorem, nonnormal matrices, Gateaux derivatives and matrices, trace and partial trace, spin coherent states, Clebsch-Gordan series, entanglement, hyperdeterminant, tensor eigenvalue problem, Carleman matrix and Bell matrix, tensor fields and Ricci tensors, and software implementations.
Автор: Lloyd N. Trefethen Название: Approximation Theory and Approximation Practice: Extended Edition ISBN: 161197593X ISBN-13(EAN): 9781611975932 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 60990.00 T Наличие на складе: Поставка под заказ. Описание: This is a textbook on classical polynomial and rational approximation theory for the twenty-first century. Aimed at advanced undergraduates and graduate students across all of applied mathematics, it uses MATLAB to teach the field’s most important ideas and results.
Approximation Theory and Approximation Practice, Extended Edition differs fundamentally from other works on approximation theory in a number of ways: its emphasis is on topics close to numerical algorithms; concepts are illustrated with Chebfun; and each chapter is a PUBLISHable MATLAB M-file, available online.
The book centers on theorems and methods for analytic functions, which appear so often in applications, rather than on functions at the edge of discontinuity with their seductive theoretical challenges. Original sources are cited rather than textbooks, and each item in the bibliography is accompanied by an editorial comment. In addition, each chapter has a collection of exercises, which span a wide range from mathematical theory to Chebfun-based numerical experimentation.
Автор: Tsung-Ming Huang, Ren-Cang Li, Wen-Wei Lin Название: Structure-Preserving Doubling Algorithms for Nonlinear Matrix Equations ISBN: 1611975352 ISBN-13(EAN): 9781611975352 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 53090.00 T Наличие на складе: Невозможна поставка. Описание: Nonlinear matrix equations arise frequently in applied science and engineering. This is the first book to provide a unified treatment of structure-preserving doubling algorithms, which have been recently studied and proven effective for notoriously challenging problems, such as fluid queue theory and vibration analysis for high-speed trains. The authors present recent developments and results for the theory of doubling algorithms for nonlinear matrix equations associated with regular matrix pencils, and highlight the use of these algorithms in achieving robust solutions for notoriously challenging problems that other methods cannot.Structure-Preserving Doubling Algorithms for Nonlinear Matrix Equations is intended for researchers and computational scientists. Graduate students may also find it of interest.
Автор: Holger Wendland Название: Numerical Linear Algebra: An Introduction ISBN: 1107147131 ISBN-13(EAN): 9781107147133 Издательство: Cambridge Academ Рейтинг: Цена: 91870.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This self-contained introduction to numerical linear algebra provides a comprehensive, yet concise, overview of the subject. This book will be of particular use to applied mathematicians, engineers, computer scientists, and to all those interested in efficiently solving linear problems.
Автор: Mcdonald, Название: Linear Algebra over Commutative Rings ISBN: 0367451778 ISBN-13(EAN): 9780367451776 Издательство: Taylor&Francis Рейтинг: Цена: 63280.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This monograph arose from lectures at the University of Oklahoma on topics related to linear algebra over commutative rings. It provides an introduction of matrix theory over commutative rings. The monograph discusses the structure theory of a projective module.
Автор: Eric Darve, Mary Wootters Название: Numerical Linear Algebra with Julia ISBN: 1611976545 ISBN-13(EAN): 9781611976540 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 74410.00 T Наличие на складе: Поставка под заказ. Описание: Numerical Linear Algebra with Julia provides in-depth coverage of fundamental topics in numerical linear algebra, including how to solve dense and sparse linear systems, compute QR factorizations, compute the eigendecomposition of a matrix, and solve linear systems using iterative methods such as conjugate gradient. The style is friendly and approachable and cartoon characters guide the way.Inside this book, readers will finddetailed descriptions of algorithms,implementations in Julia that illustrate concepts and allow readers to explore methods on their own, andillustrations and graphics that emphasize core concepts and demonstrate algorithms. Numerical Linear Algebra with Julia is a textbook for undergraduate and graduate students. It is appropriate for the following courses: Advanced Numerical Analysis, Special Topics on Numerical Analysis, Topics on Data Science, Topics on Numerical Optimization, and Topics on Approximation Theory. The book may also serve as a reference for researchers in various fields such as computational engineering, statistics, data-science, and machine learning, who depend on numerical solvers in linear algebra.
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