The Preface suggests ways in which the book can be used with or without an intensive study of proofs. In addition to examples from engineering and science applications, proofs of required results are provided without leaving out critical details. 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. 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. 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 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. Описание: 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. Название: Numerical Linear Algebra with Applications, The applications covered are drawn from a range of computer science areas, including computer graphics, computer vision, robotics, natural language processing, web search, machine learning, statistical analysis, game playing, graph theory, scientific computing, decision theory, coding, cryptography, network analysis, data compression, and signal processing.Ĭomprehensive problem sections include traditional calculation exercises, thought problems such as proofs, and programming assignments that involve creating MATLAB functions. The examples and programming assignments focus on computer science applications. The focus throughout is on topics and examples that are particularly relevant to computer science applications for example, there is an extensive discussion on the use of hidden Markov models for tagging text and a discussion of the Zipf (inverse power law) distribution. The section on probability presents an introduction to the basic theory of probability and numerical random variables later chapters discuss Markov models, Monte Carlo methods, information theory, and basic statistical techniques. It also introduces the issues of numerical stability and round-off error, the discrete Fourier transform, and singular value decomposition. It includes an extensive discussion on Gaussian elimination, geometric applications, and change of basis. The section on linear algebra gives an introduction to the theory of vectors, matrices, and linear transformations over the reals. Computational science and engineering gilbert strang pdf editor code#Most of the chapters discuss relevant MATLAB (R) functions and features and give sample assignments in MATLAB the author's website provides the MATLAB code from the book.Īfter an introductory chapter on MATLAB, the text is divided into two sections. The course and the text are addressed to students with a very weak mathematical background. ISBN: 1466501553 ISBN-13(EAN): 9781466501553īased on the author's course at NYU, Linear Algebra and Probability for Computer Science Applications gives an introduction to two mathematical fields that are fundamental in many areas of computer science. Название: Linear Algebra and Probability for Computer Science Applications The book is addressed to students who wish to learn linear algebra, as well as to professionals who need to use the methods of the An entirely new chapter on linear programing introduces the reader to the simplex algorithm withĮmphasis on understanding the theory behind it. Linear differential equations, Markov processes, and the Method of Least Squares. Numerous applications of linear algebra are described, including systems of linear recurrence relations, systems of The concept of a quotient space is introduced and related to solutions of linear system of equations,Īnd a simplified treatment of Jordan normal form is given. The basic concepts, such as vector space, linear transformation and inner product. Presupposing no knowledge beyond calculus, it provides a thorough treatment of all Описание: This is the second edition of the best-selling introduction to linear algebra. Издательство: World Scientific Publishing Название: Course in linear algebra with applications, a (2nd edition)
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