Linear Algebra

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Covers determinants, linear spaces, systems of linear equations, linear functions of a vector argument, coordinate transformations, the canonical form of the matrix of a linear operator, bilinear and quadratic forms, Euclidean spaces, unitary spaces, quadratic forms in Euclidean and unitary spaces, finite-dimensional space. Problems with hints and answers.

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Genre : Mathematics
Author : Georgi? Evgen?evich Shilov
Publisher : Courier Corporation
Release : 1977-06-01
File : 404 Pages
ISBN-13 : 048663518X


Lectures On Linear Algebra And Its Applications

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Genre : Mathematics
Author : Philip Korman
Publisher : Walter de Gruyter GmbH & Co KG
Release : 2023-10-23
File : 258 Pages
ISBN-13 : 9783111086507


Applied Linear Algebra And Matrix Analysis

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This new book offers a fresh approach to matrix and linear algebra by providing a balanced blend of applications, theory, and computation, while highlighting their interdependence. Intended for a one-semester course, Applied Linear Algebra and Matrix Analysis places special emphasis on linear algebra as an experimental science, with numerous examples, computer exercises, and projects. While the flavor is heavily computational and experimental, the text is independent of specific hardware or software platforms. Throughout the book, significant motivating examples are woven into the text, and each section ends with a set of exercises.

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Genre : Mathematics
Author : Thomas S. Shores
Publisher : Springer Science & Business Media
Release : 2007-08-14
File : 404 Pages
ISBN-13 : 0387331956


Handbook Of Mathematics For Engineers And Scientists

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Covering the main fields of mathematics, this handbook focuses on the methods used for obtaining solutions of various classes of mathematical equations that underlie the mathematical modeling of numerous phenomena and processes in science and technology. The authors describe formulas, methods, equations, and solutions that are frequently used in scientific and engineering applications and present classical as well as newer solution methods for various mathematical equations. The book supplies numerous examples, graphs, figures, and diagrams and contains many results in tabular form, including finite sums and series and exact solutions of differential, integral, and functional equations.

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Genre : Mathematics
Author : Andrei D. Polyanin
Publisher : CRC Press
Release : 2006-11-27
File : 1542 Pages
ISBN-13 : 9781420010510


Introduction To Linear Algebra

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This is a short text in linear algebra, intended for a one-term course. In the first chapter, Lang discusses the relation between the geometry and the algebra underlying the subject, and gives concrete examples of the notions which appear later in the book. He then starts with a discussion of linear equations, matrices and Gaussian elimination, and proceeds to discuss vector spaces, linear maps, scalar products, determinants, and eigenvalues. The book contains a large number of exercises, some of the routine computational type, while others are conceptual.

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Genre : Mathematics
Author : Serge Lang
Publisher : Springer Science & Business Media
Release : 2012-12-06
File : 300 Pages
ISBN-13 : 9781461210702


Basics Of Linear Algebra For Machine Learning

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Linear algebra is a pillar of machine learning. You cannot develop a deep understanding and application of machine learning without it. In this laser-focused Ebook, you will finally cut through the equations, Greek letters, and confusion, and discover the topics in linear algebra that you need to know. Using clear explanations, standard Python libraries, and step-by-step tutorial lessons, you will discover what linear algebra is, the importance of linear algebra to machine learning, vector, and matrix operations, matrix factorization, principal component analysis, and much more.

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Genre : Computers
Author : Jason Brownlee
Publisher : Machine Learning Mastery
Release : 2018-01-24
File : 211 Pages
ISBN-13 :


Linear Algebra

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The vector space approach to the treatment of linear algebra is useful for geometric intuition leading to transparent proofs; it's also useful for generalization to infinite-dimensional spaces. The Indian School, led by Professors C.R. Rao and S.K. Mitra, successfully employed this approach. This book follows their approach and systematically develops the elementary parts of matrix theory, exploiting the properties of row and column spaces of matrices. Developments in linear algebra have brought into focus several techniques not included in basic texts, such as rank-factorization, generalized inverses, and singular value decomposition. These techniques are actually simple enough to be taught at the advanced undergraduate level. When properly used, they provide a better understanding of the topic and give simpler proofs, making the subject more accessible to students. This book explains these techniques.

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Genre : Mathematics
Author : A. Ramachandra Rao
Publisher : Springer
Release : 2000-05-15
File : 427 Pages
ISBN-13 : 9789386279019


An Introduction To Linear Algebra And Tensors

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Eminently readable, completely elementary treatment begins with linear spaces and ends with analytic geometry, covering multilinear forms, tensors, linear transformation, and more. 250 problems, most with hints and answers. 1972 edition.

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Genre : Mathematics
Author : M. A. Akivis
Publisher : Courier Corporation
Release : 2012-07-25
File : 196 Pages
ISBN-13 : 9780486148786


Numerical Linear Algebra With Applications

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Numerical Linear Algebra with Applications is designed for those who want to gain a practical knowledge of modern computational techniques for the numerical solution of linear algebra problems, using MATLAB as the vehicle for computation. The book contains all the material necessary for a first year graduate or advanced undergraduate course on numerical linear algebra with numerous applications to engineering and science. With a unified presentation of computation, basic algorithm analysis, and numerical methods to compute solutions, this book is ideal for solving real-world problems. The text consists of six introductory chapters that thoroughly provide the required background for those who have not taken a course in applied or theoretical linear algebra. It explains in great detail the algorithms necessary for the accurate computation of the solution to the most frequently occurring problems in numerical linear algebra. In addition to examples from engineering and science applications, proofs of required results are provided without leaving out critical details. The Preface suggests ways in which the book can be used with or without an intensive study of proofs. This book will be a useful reference for graduate or advanced undergraduate students in engineering, science, and mathematics. It will also appeal to professionals in engineering and science, such as practicing engineers who want to see how numerical linear algebra problems can be solved using a programming language such as MATLAB, MAPLE, or Mathematica. - Six introductory chapters that thoroughly provide the required background for those who have not taken a course in applied or theoretical linear algebra - Detailed explanations and examples - A through discussion of the algorithms necessary for the accurate computation of the solution to the most frequently occurring problems in numerical linear algebra - Examples from engineering and science applications

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Genre : Mathematics
Author : William Ford
Publisher : Academic Press
Release : 2014-09-14
File : 629 Pages
ISBN-13 : 9780123947840


Mathematical Methods Linear Algebra Normed Spaces Distributions Integration

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Genre : Mathematics
Author : Jacob Korevaar
Publisher :
Release : 1968
File : 528 Pages
ISBN-13 : UOM:39015037936252