Linear Algebra With Applications

Author : Israel Gohberg,Peter Lancaster,Leiba Rodman
Publisher : Springer Science & Business Media
Page : 357 pages
File Size : 47,9 Mb
Release : 2006-02-08
Category : Mathematics
ISBN : 9783764373504

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Indefinite Linear Algebra and Applications by Israel Gohberg,Peter Lancaster,Leiba Rodman Pdf

This book covers recent results in linear algebra with indefinite inner product. It includes applications to differential and difference equations with symmetries, matrix polynomials and Riccati equations. These applications are based on linear algebra in spaces with indefinite inner product. The latter forms an independent branch of linear algebra called indefinite linear algebra. This new subject is presented following the principles of a standard linear algebra course.

Author : Titu Andreescu
Publisher : Springer
Page : 491 pages
File Size : 44,7 Mb
Release : 2014-10-14
Category : Mathematics
ISBN : 9780817646363

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Essential Linear Algebra with Applications by Titu Andreescu Pdf

Rooted in a pedagogically successful problem-solving approach to linear algebra, the present work fills a gap in the literature that is sharply divided between elementary texts and books that are too advanced to appeal to a wide audience. It clearly develops the theoretical foundations of vector spaces, linear equations, matrix algebra, eigenvectors, and orthogonality, while simultaneously emphasizing applications and connections to fields such as biology, economics, computer graphics, electrical engineering, cryptography, and political science. Ideal as an introduction to linear algebra, the extensive exercises and well-chosen applications also make this text suitable for advanced courses at the junior or senior undergraduate level. Furthermore, it can serve as a colorful supplementary problem book, reference, or self-study manual for professional scientists and mathematicians. Complete with bibliography and index, "Essential Linear Algebra with Applications" is a natural bridge between pure and applied mathematics and the natural and social sciences, appropriate for any student or researcher who needs a strong footing in the theory, problem-solving, and model-building that are the subject’s hallmark.

Author : Steven J. Leon
Publisher : Unknown
Page : 0 pages
File Size : 43,7 Mb
Release : 1999
Category : Electronic
ISBN : 0139078584

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Linear Algebra with Applications by Steven J. Leon Pdf

Author : Gareth Williams
Publisher : Jones & Bartlett Learning
Page : 554 pages
File Size : 46,9 Mb
Release : 2011-08-24
Category : Mathematics
ISBN : 0763782483

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Linear Algebra with Applications by Gareth Williams Pdf

Revised and edited, Linear Algebra with Applications, Seventh Edition is designed for the introductory course in linear algebra and is organized into 3 natural parts. Part 1 introduces the basics, presenting systems of linear equations, vectors and subspaces of Rn, matrices, linear transformations, determinants, and eigenvectors. Part 2 builds on this material, introducing the concept of general vector spaces, discussing properties of bases, developing the rank/nullity theorem and introducing spaces of matrices and functions. Part 3 completes the course with many of the important ideas and methods of numerical linear algebra, such as ill-conditioning, pivoting, and LU decomposition. Offering 28 core sections, the Seventh Edition successfully blends theory, important numerical techniques, and interesting applications making it ideal for engineers, scientists, and a variety of other majors.

Author : Derek J S Robinson
Publisher : World Scientific
Page : 372 pages
File Size : 50,6 Mb
Release : 2006-08-15
Category : Mathematics
ISBN : 9789814365444

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A Course in Linear Algebra with Applications by Derek J S Robinson Pdf

This is the second edition of the best-selling introduction to linear algebra. Presupposing no knowledge beyond calculus, it provides a thorough treatment of all the basic concepts, such as vector space, linear transformation and inner product. The concept of a quotient space is introduced and related to solutions of linear system of equations, and a simplified treatment of Jordan normal form is given. Numerous applications of linear algebra are described, including systems of linear recurrence relations, systems of linear differential equations, Markov processes, and the Method of Least Squares. An entirely new chapter on linear programing introduces the reader to the simplex algorithm with emphasis on understanding the theory behind it. 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 subject in their own fields.

Author : William Ford
Publisher : Academic Press
Page : 629 pages
File Size : 40,9 Mb
Release : 2014-09-14
Category : Mathematics
ISBN : 9780123947840

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Numerical Linear Algebra with Applications by William Ford Pdf

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

Author : Stephen Boyd,Lieven Vandenberghe
Publisher : Cambridge University Press
Page : 477 pages
File Size : 45,9 Mb
Release : 2018-06-07
Category : Business & Economics
ISBN : 9781316518960

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Introduction to Applied Linear Algebra by Stephen Boyd,Lieven Vandenberghe Pdf

A groundbreaking introduction to vectors, matrices, and least squares for engineering applications, offering a wealth of practical examples.

Author : Jim DeFranza,Daniel Gagliardi
Publisher : Waveland Press
Page : 488 pages
File Size : 43,5 Mb
Release : 2015-01-23
Category : Mathematics
ISBN : 9781478628828

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Introduction to Linear Algebra with Applications by Jim DeFranza,Daniel Gagliardi Pdf

Over the last few decades, linear algebra has become more relevant than ever. Applications have increased not only in quantity but also in diversity, with linear systems being used to solve problems in chemistry, engineering, economics, nutrition, urban planning, and more. DeFranza and Gagliardi introduce students to the topic in a clear, engaging, and easy-to-follow manner. Topics are developed fully before moving on to the next through a series of natural connections. The result is a solid introduction to linear algebra for undergraduates’ first course.

Author : Biswa Nath Datta
Publisher : SIAM
Page : 546 pages
File Size : 50,8 Mb
Release : 2010-01-01
Category : Mathematics
ISBN : 9780898717655

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Numerical Linear Algebra and Applications by Biswa Nath Datta Pdf

Full of features and applications, this acclaimed textbook for upper undergraduate level and graduate level students includes all the major topics of computational linear algebra, including solution of a system of linear equations, least-squares solutions of linear systems, computation of eigenvalues, eigenvectors, and singular value problems. Drawing from numerous disciplines of science and engineering, the author covers a variety of motivating applications. When a physical problem is posed, the scientific and engineering significance of the solution is clearly stated. Each chapter contains a summary of the important concepts developed in that chapter, suggestions for further reading, and numerous exercises, both theoretical and MATLAB and MATCOM based. The author also provides a list of key words for quick reference. The MATLAB toolkit available online, 'MATCOM', contains implementations of the major algorithms in the book and will enable students to study different algorithms for the same problem, comparing efficiency, stability, and accuracy.

Author : W. Keith Nicholson
Publisher : Unknown
Page : 552 pages
File Size : 53,7 Mb
Release : 2006
Category : Mathematics
ISBN : UOM:39015064764171

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Linear Algebra with Applications by W. Keith Nicholson Pdf

W. Keith Nicholson's Linear Algebra with Applications, Fifth Canadian Edition is written for first and second year students at both the college or university level. Its real world approach challenges students step-by-step, gradually bringing them to a higher level of understanding from abstract to more general concepts. Real world applications have been added to the new edition, including:Directed graphsGoogle PageRankComputer graphicsCorrelation and VarianceFinite Fields and Linear CodesIn addition to the new applications, the author offers several new exercises and examples throughout each chapter. Some new examples include:motivating matrix multiplication (Chapter 2)a new way to expand a linearly independent set to a basis using an existing basisWhile some instructors will use the text for one semester, ending at Chapter 5 The Vector Space Rn others will continue with more abstract concepts being introduced. Chapter 5 prepares students for the transition, acting as the "bridging" chapter, allowing challenging concepts like subspaces, spanning, independence and dimension to be assimilated first in the concrete context of Rn. This "bridging" concept eases students into the introduction of vector spaces in Chapter 6.

Author : Jeffrey Holt
Publisher : Macmillan Higher Education
Page : 817 pages
File Size : 42,6 Mb
Release : 2016-12-15
Category : Mathematics
ISBN : 9781319057695

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Linear Algebra with Applications by Jeffrey Holt Pdf

Holt's Linear Algebra with Applications, Second Edition, blends computational and conceptual topics throughout to prepare students for the rigors of conceptual thinking in an abstract setting. The early treatment of conceptual topics in the context of Euclidean space gives students more time, and a familiar setting, in which to absorb them. This organization also makes it possible to treat eigenvalues and eigenvectors earlier than in most texts. Abstract vector spaces are introduced later, once students have developed a solid conceptual foundation. Concepts and topics are frequently accompanied by applications to provide context and motivation. Because many students learn by example, Linear Algebra with Applications provides a large number of representative examples, over and above those used to introduce topics. The text also has over 2500 exercises, covering computational and conceptual topics over a range of difficulty levels.

Author : Philip N. Klein
Publisher : Unknown
Page : 530 pages
File Size : 53,8 Mb
Release : 2013-07
Category : Algebras, Linear
ISBN : 061585673X

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Coding the Matrix by Philip N. Klein Pdf

An engaging introduction to vectors and matrices and the algorithms that operate on them, intended for the student who knows how to program. Mathematical concepts and computational problems are motivated by applications in computer science. The reader learns by "doing," writing programs to implement the mathematical concepts and using them to carry out tasks and explore the applications. Examples include: error-correcting codes, transformations in graphics, face detection, encryption and secret-sharing, integer factoring, removing perspective from an image, PageRank (Google's ranking algorithm), and cancer detection from cell features. A companion web site, codingthematrix.com provides data and support code. Most of the assignments can be auto-graded online. Over two hundred illustrations, including a selection of relevant "xkcd" comics. Chapters: "The Function," "The Field," "The Vector," "The Vector Space," "The Matrix," "The Basis," "Dimension," "Gaussian Elimination," "The Inner Product," "Special Bases," "The Singular Value Decomposition," "The Eigenvector," "The Linear Program" A new edition of this text, incorporating corrections and an expanded index, has been issued as of September 4, 2013, and will soon be available on Amazon.

Author : Kenneth Kuttler
Publisher : The Saylor Foundation
Page : 503 pages
File Size : 42,5 Mb
Release : 2012-01-29
Category : Mathematics
ISBN : 8210379456XXX

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Linear Algebra: Theory and Applications by Kenneth Kuttler Pdf

This is a book on linear algebra and matrix theory. While it is self contained, it will work best for those who have already had some exposure to linear algebra. It is also assumed that the reader has had calculus. Some optional topics require more analysis than this, however. I think that the subject of linear algebra is likely the most significant topic discussed in undergraduate mathematics courses. Part of the reason for this is its usefulness in unifying so many different topics. Linear algebra is essential in analysis, applied math, and even in theoretical mathematics. This is the point of view of this book, more than a presentation of linear algebra for its own sake. This is why there are numerous applications, some fairly unusual.

Author : George Nakos,David Joyner
Publisher : PWS Publishing Company
Page : 694 pages
File Size : 55,8 Mb
Release : 1998
Category : Algebras, Linear
ISBN : UCSC:32106017194066

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Linear Algebra with Applications by George Nakos,David Joyner Pdf

This text fully integrates applications and technology into the linear algebra course, and provides coverage of provocative topics, such as chaos theory and coding theory. The authors designed this text to be rich in examples, exercises, and applications. It includes all basic linear algebra theory, most important numerical methods, and incorporates technology without sacrificing material basic to the course.

Author : Charles G. Cullen
Publisher : Addison Wesley
Page : 518 pages
File Size : 49,8 Mb
Release : 1997
Category : Mathematics
ISBN : UVA:X004105548

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Linear Algebra with Applications by Charles G. Cullen Pdf

This clear, unintimidating introductory text is distinguished by its strong computational and applied approach. Suitable for a sophomore-level course in linear, matrix, or computational algebra, it prepares students for further study in mathematics, computer science, chemistry, or economics. An outstanding interactive software package, specifically developed to accompany this text, offers ease of use, power, and flexibility, focusing attention on the interpretation of calculations rather than on the calculations themselves. The Second Edition has been improved by including more applications, more motivation to discussions, more graphics, and discussions of various relevant software packages, and the TI-85 graphics calculator.