Advanced linear and matrix algebra, Johnston, Nathaniel
Автор: Trefethen, Lloyd N. Bau, David, Iii Название: Numerical linear algebra ISBN: 0898713617 ISBN-13(EAN): 9780898713619 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 9656.00 р. Наличие на складе: Нет в наличии.
Описание: Numerical Linear Algebra is a concise, insightful, and elegant introduction to the field of numerical linear algebra.
Автор: Roman Название: Advanced Linear Algebra ISBN: 0387728287 ISBN-13(EAN): 9780387728285 Издательство: Springer Рейтинг: Цена: 8132.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Details the basics of linear algebra. This book discusses modules, emphasizing a comparison with vector spaces. It also discusses inner product spaces, eigenvalues, eigenvectors, finite dimensional spectral theory and finite dimensional spectral theorem for normal operators.
Автор: Johnston, Nathaniel Название: Advanced linear and matrix algebra ISBN: 3030528146 ISBN-13(EAN): 9783030528140 Издательство: Springer Рейтинг: Цена: 7685.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This textbook emphasizes the interplay between algebra and geometry to motivate the study of advanced linear algebra techniques. Building on a first course in linear algebra, this book offers readers a deeper understanding of abstract structures, matrix decompositions, multilinearity, and tensors.
Автор: Yang Название: A Concise Text on Advanced Linear Algebra ISBN: 1107456819 ISBN-13(EAN): 9781107456815 Издательство: Cambridge Academ Рейтинг: Цена: 5859.00 р. Наличие на складе: Поставка под заказ.
Описание: An engaging textbook for advanced undergraduate students and beginning graduates covering the core subjects in linear algebra. The author clearly motivates the theory to give readers a thorough grasp of the concepts and draws clear links to applications in mathematics and beyond.
Автор: Steven Roman Название: Advanced Linear Algebra ISBN: 1441924981 ISBN-13(EAN): 9781441924988 Издательство: Springer Рейтинг: Цена: 7819.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
This is a graduate textbook covering an especially broad range of topics. The first part of the book contains a careful but rapid discussion of the basics of linear algebra, including vector spaces, linear transformations, quotient spaces, and isomorphism theorems. The author then proceeds to modules, emphasizing a comparison with vector spaces. A thorough discussion of inner product spaces, eigenvalues, eigenvectors, and finite dimensional spectral theory follows, culminating in the finite dimensional spectral theorem for normal operators. The second part of the book is a collection of topics, including metric vector spaces, metric spaces, Hilbert spaces, tensor products, and affine geometry. The last chapter discusses the umbral calculus, an area of modern algebra with important applications.
For the third edition, the author has:
* added a new chapter on associative algebras that includes the well known characterizations of the finite-dimensional division algebras over the real field (a theorem of Frobenius) and over a finite field (Wedderburn's theorem);
* polished and refined some arguments (such as the discussion of reflexivity, the rational canonical form, best approximations and the definitions of tensor products);
* upgraded some proofs that were originally done only for finite-dimensional/rank cases;
* added new theorems, including the spectral mapping theorem and a theorem to the effect that, dim(V)
* corrected all known errors;
* the reference section has been enlarged considerably, with over a hundred references to books on linear algebra.
From the reviews of the second edition:
"In this 2nd edition, the author has rewritten the entire book and has added more than 100 pages of new materials. ... As in the previous edition, the text is well written and gives a thorough discussion of many topics of linear algebra and related fields. ... the exercises are rewritten and expanded. ... Overall, I found the book a very useful one. ... It is a suitable choice as a graduate text or as a reference book."
- Ali-Akbar Jafarian, ZentralblattMATH
"This is a formidable volume, a compendium of linear algebra theory, classical and modern ... . The development of the subject is elegant ... . The proofs are neat ... . The exercise sets are good, with occasional hints given for the solution of trickier problems. ... It represents linear algebra and does so comprehensively."
-Henry Ricardo, MathDL
Автор: Ashraf, Mohammad De Filippis, Vincenzo Aslam Siddeeque, Mohammad Название: Advanced linear algebra with applications ISBN: 9811621691 ISBN-13(EAN): 9789811621697 Издательство: Springer Рейтинг: Цена: 6986.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book provides a comprehensive knowledge of linear algebra for graduate and undergraduate courses. As a self-contained text, it aims at covering all important areas of the subject, including algebraic structures, matrices and systems of linear equations, vector spaces, linear transformations, dual and inner product spaces, canonical, bilinear, quadratic, sesquilinear, Hermitian forms of operators and tensor products of vector spaces with their algebras. The last three chapters focus on empowering readers to pursue interdisciplinary applications of linear algebra in numerical methods, analytical geometry and in solving linear system of differential equations. A rich collection of examples and exercises are present at the end of each section to enhance the conceptual understanding of readers. Basic knowledge of various notions, such as sets, relations, mappings, etc., has been pre-assumed.
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: Lyche Tom Название: Numerical Linear Algebra and Matrix Factorizations ISBN: 3030364674 ISBN-13(EAN): 9783030364670 Издательство: Springer Рейтинг: Цена: 6986.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: After reading this book, students should be able to analyze computational problems in linear algebra such as linear systems, least squares- and eigenvalue problems, and to develop their own algorithms for solving them.
Автор: Woerdeman Название: Advanced Linear Algebra ISBN: 1498754031 ISBN-13(EAN): 9781498754033 Издательство: Taylor&Francis Рейтинг: Цена: 16078.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
Advanced Linear Algebra features a student-friendly approach to the theory of linear algebra. The author's emphasis on vector spaces over general fields, with corresponding current applications, sets the book apart. He focuses on finite fields and complex numbers, and discusses matrix algebra over these fields. The text then proceeds to cover vector spaces in depth. Also discussed are standard topics in linear algebra including linear transformations, Jordan canonical form, inner product spaces, spectral theory, and, as supplementary topics, dual spaces, quotient spaces, and tensor products.
Written in clear and concise language, the text sticks to the development of linear algebra without excessively addressing applications. A unique chapter on "How to Use Linear Algebra" is offered after the theory is presented. In addition, students are given pointers on how to start a research project. The proofs are clear and complete and the exercises are well designed. In addition, full solutions are included for almost all exercises.
Автор: Sinha Rajnikant Название: Galois Theory and Advanced Linear Algebra ISBN: 9811398518 ISBN-13(EAN): 9789811398513 Издательство: Springer Цена: 6986.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book discusses major topics in Galois theory and advanced linear algebra, including canonical forms.
Автор: Sinha Rajnikant Название: Galois Theory and Advanced Linear Algebra ISBN: 9811398488 ISBN-13(EAN): 9789811398483 Издательство: Springer Рейтинг: Цена: 6986.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book discusses major topics in Galois theory and advanced linear algebra, including canonical forms.
Автор: Ashraf, Mohammad De Filippis, Vincenzo Aslam Siddeeque, Mohammad Название: Advanced linear algebra with applications ISBN: 9811621667 ISBN-13(EAN): 9789811621666 Издательство: Springer Рейтинг: Цена: 6986.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book provides a comprehensive knowledge of linear algebra for graduate and undergraduate courses. As a self-contained text, it aims at covering all important areas of the subject, including algebraic structures, matrices and systems of linear equations, vector spaces, linear transformations, dual and inner product spaces, canonical, bilinear, quadratic, sesquilinear, Hermitian forms of operators and tensor products of vector spaces with their algebras. The last three chapters focus on empowering readers to pursue interdisciplinary applications of linear algebra in numerical methods, analytical geometry and in solving linear system of differential equations. A rich collection of examples and exercises are present at the end of each section to enhance the conceptual understanding of readers. Basic knowledge of various notions, such as sets, relations, mappings, etc., has been pre-assumed.
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