Matrix Analysis And Applied Linear Algebra

Author : Carl D. Meyer
Publisher : SIAM
Page : 729 pages
File Size : 43,5 Mb
Release : 2000-06-01
Category : Mathematics
ISBN : 9780898714548

Get Book

Matrix Analysis and Applied Linear Algebra by Carl D. Meyer Pdf

This book avoids the traditional definition-theorem-proof format; instead a fresh approach introduces a variety of problems and examples all in a clear and informal style. The in-depth focus on applications separates this book from others, and helps students to see how linear algebra can be applied to real-life situations. Some of the more contemporary topics of applied linear algebra are included here which are not normally found in undergraduate textbooks. Theoretical developments are always accompanied with detailed examples, and each section ends with a number of exercises from which students can gain further insight. Moreover, the inclusion of historical information provides personal insights into the mathematicians who developed this subject. The textbook contains numerous examples and exercises, historical notes, and comments on numerical performance and the possible pitfalls of algorithms. Solutions to all of the exercises are provided, as well as a CD-ROM containing a searchable copy of the textbook.

Author : Carl D. Meyer
Publisher : SIAM
Page : 903 pages
File Size : 40,6 Mb
Release : 2000-01-01
Category : Mathematics
ISBN : 9780898719512

Get Book

Matrix Analysis and Applied Linear Algebra by Carl D. Meyer Pdf

Matrix Analysis and Applied Linear Algebra is an honest math text that circumvents the traditional definition-theorem-proof format that has bored students in the past. Meyer uses a fresh approach to introduce a variety of problems and examples ranging from the elementary to the challenging and from simple applications to discovery problems. The focus on applications is a big difference between this book and others. Meyer's book is more rigorous and goes into more depth than some. He includes some of the more contemporary topics of applied linear algebra which are not normally found in undergraduate textbooks. Modern concepts and notation are used to introduce the various aspects of linear equations, leading readers easily to numerical computations and applications. The theoretical developments are always accompanied with examples, which are worked out in detail. Each section ends with a large number of carefully chosen exercises from which the students can gain further insight.

Author : Carl Dean Meyer
Publisher : Unknown
Page : 0 pages
File Size : 54,7 Mb
Release : 2023
Category : Algebras, Linear
ISBN : 1611977436

Get Book

Matrix Analysis and Applied Linear Algebra by Carl Dean Meyer Pdf

"Matrix Analysis and Applied Linear Algebra, Second Edition circumvents the traditional definition-theorem-proof format, and includes topics not normally found in undergraduate textbooks. Taking readers from elementary to advanced aspects of the subject, the authors covers both theory and applications. The theoretical development is rigorous and linear, obviating the need for circular or non-sequential references. An abundance of examples and a rich variety of applications will help students gain further insight into the subject. A study and solutions guide is also available"--

Author : Thomas S. Shores
Publisher : Springer Science & Business Media
Page : 384 pages
File Size : 47,8 Mb
Release : 2007-03-12
Category : Mathematics
ISBN : 9780387489476

Get Book

Applied Linear Algebra and Matrix Analysis by Thomas S. Shores Pdf

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.

Author : Carl D. Meyer
Publisher : SIAM
Page : 1006 pages
File Size : 49,9 Mb
Release : 2023-05-18
Category : Mathematics
ISBN : 9781611977448

Get Book

Matrix Analysis and Applied Linear Algebra by Carl D. Meyer Pdf

This second edition has been almost completely rewritten to create a textbook designed so instructors can determine the degree of rigor and flexible enough for a one- or two-semester course. The author achieves this by increasing the level of sophistication as the text proceeds from traditional first principles in the early chapters to theory and applications in the later ones, and by ensuring that material at any point is not dependent on subsequent developments. While theorems and proofs are highlighted, the emphasis is on applications. The author provides carefully constructed exercises ranging from easy to moderately challenging to difficult, many of which condition students for topics that follow. An accompanying book, Matrix Analysis and Applied Linear Algebra, Second Edition, Study and Solutions Guide, contains complete solutions and discussions of each exercise; and historical remarks that focus on the personalities of the individuals who created and contributed to the subject's development. This book is designed for use in either a one- or two-term linear algebra course. It can also serve as a reference to anyone who needs to use or apply linear algebra.

Author : Carl D. Meyer
Publisher : SIAM
Page : 257 pages
File Size : 46,6 Mb
Release : 2023-05-18
Category : Mathematics
ISBN : 9781611977462

Get Book

Matrix Analysis and Applied Linear Algebra, Second Edition by Carl D. Meyer Pdf

This second edition has been almost completely rewritten to create a textbook designed to provide flexibility for nearly any desired degree of rigor and depth of coverage. This is achieved with a linear development ensuring that material at any point is not dependent on subsequent developments and by means of graduated levels of sophistication. The text moves from traditional first principles in early chapters to deeper topics involving both theory and applications in later chapters. This allows for a traditional single-term course based on roughly half of the text without having to refer to more advanced topics while the later portion of the book facilitates a seamless two-term course covering the range of theory and applications generally reserved for discussions beyond fundamentals. Rigor is present throughout, but the level is adaptable because all major theorems have ample accompanying discussions and illustrative examples designed to convince readers and students of the validity of a result without a deep dive into the proof. Moreover, there is an expanded emphasis on both the depth and breadth of applications that are designed to illuminate the utility of the subject across broad areas of science and engineering. At major junctures there are photos and historical remarks concerning the personalities who created and contributed to the subject’s development. Throughout there are carefully constructed exercises ranging from easy to moderately challenging to difficult, many of which condition students for topics that follow.

Author : Carl D. Meyer
Publisher : Unknown
Page : 128 pages
File Size : 50,7 Mb
Release : 2005
Category : Electronic
ISBN : OCLC:837403211

Get Book

Matrix Analysis and Applied Linear Algebra by Carl D. Meyer Pdf

Author : Stephen Boyd,Lieven Vandenberghe
Publisher : Cambridge University Press
Page : 477 pages
File Size : 44,7 Mb
Release : 2018-06-07
Category : Business & Economics
ISBN : 9781316518960

Get Book

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 : Carl Dean Meyer
Publisher : Unknown
Page : 0 pages
File Size : 49,6 Mb
Release : 2000
Category : Electronic
ISBN : OCLC:833822507

Get Book

Matrix Analysis and Applied Linear Algebra by Carl Dean Meyer Pdf

Author : Edward Barry Saff,Arthur David Snider
Publisher : John Wiley & Sons
Page : 407 pages
File Size : 41,5 Mb
Release : 2015-10-12
Category : Mathematics
ISBN : 9781118953655

Get Book

Fundamentals of Matrix Analysis with Applications by Edward Barry Saff,Arthur David Snider Pdf

An accessible and clear introduction to linear algebra with a focus on matrices and engineering applications Providing comprehensive coverage of matrix theory from a geometric and physical perspective, Fundamentals of Matrix Analysis with Applications describes the functionality of matrices and their ability to quantify and analyze many practical applications. Written by a highly qualified author team, the book presents tools for matrix analysis and is illustrated with extensive examples and software implementations. Beginning with a detailed exposition and review of the Gauss elimination method, the authors maintain readers’ interest with refreshing discussions regarding the issues of operation counts, computer speed and precision, complex arithmetic formulations, parameterization of solutions, and the logical traps that dictate strict adherence to Gauss’s instructions. The book heralds matrix formulation both as notational shorthand and as a quantifier of physical operations such as rotations, projections, reflections, and the Gauss reductions. Inverses and eigenvectors are visualized first in an operator context before being addressed computationally. Least squares theory is expounded in all its manifestations including optimization, orthogonality, computational accuracy, and even function theory. Fundamentals of Matrix Analysis with Applications also features: Novel approaches employed to explicate the QR, singular value, Schur, and Jordan decompositions and their applications Coverage of the role of the matrix exponential in the solution of linear systems of differential equations with constant coefficients Chapter-by-chapter summaries, review problems, technical writing exercises, select solutions, and group projects to aid comprehension of the presented concepts Fundamentals of Matrix Analysis with Applications is an excellent textbook for undergraduate courses in linear algebra and matrix theory for students majoring in mathematics, engineering, and science. The book is also an accessible go-to reference for readers seeking clarification of the fine points of kinematics, circuit theory, control theory, computational statistics, and numerical algorithms.

Author : Robert R. Stoll
Publisher : Courier Corporation
Page : 290 pages
File Size : 46,9 Mb
Release : 2012-10-17
Category : Mathematics
ISBN : 9780486623184

Get Book

Linear Algebra and Matrix Theory by Robert R. Stoll Pdf

Advanced undergraduate and first-year graduate students have long regarded this text as one of the best available works on matrix theory in the context of modern algebra. Teachers and students will find it particularly suited to bridging the gap between ordinary undergraduate mathematics and completely abstract mathematics. The first five chapters treat topics important to economics, psychology, statistics, physics, and mathematics. Subjects include equivalence relations for matrixes, postulational approaches to determinants, and bilinear, quadratic, and Hermitian forms in their natural settings. The final chapters apply chiefly to students of engineering, physics, and advanced mathematics. They explore groups and rings, canonical forms for matrixes with respect to similarity via representations of linear transformations, and unitary and Euclidean vector spaces. Numerous examples appear throughout the text.

Author : Carl D. Meyer
Publisher : Unknown
Page : 184 pages
File Size : 40,8 Mb
Release : 2007-08-28
Category : Electronic
ISBN : 0898716454

Get Book

Matrix Analysis and Applied Linear Algebra by Carl D. Meyer Pdf

This book avoids the traditional definition-theorem-proof format; instead a fresh approach introduces a variety of problems and examples all in a clear and informal style. The in-depth focus on applications separates this book from others, and helps students to see how linear algebra can be applied to real-life situations. Some of the more contemporary topics of applied linear algebra are included here which are not normally found in undergraduate textbooks. Theoretical developments are always accompanied with detailed examples, and each section ends with a number of exercises from which students can gain further insight. Moreover, the inclusion of historical information provides personal insights into the mathematicians who developed this subject. The textbook contains numerous examples and exercises, historical notes, and comments on numerical performance and the possible pitfalls of algorithms. Solutions to all of the exercises are provided, as well as a CD-ROM containing a searchable copy of the textbook.

Author : Peter J. Olver,Chehrzad Shakiban
Publisher : Springer
Page : 679 pages
File Size : 52,5 Mb
Release : 2018-05-30
Category : Mathematics
ISBN : 9783319910413

Get Book

Applied Linear Algebra by Peter J. Olver,Chehrzad Shakiban Pdf

This textbook develops the essential tools of linear algebra, with the goal of imparting technique alongside contextual understanding. Applications go hand-in-hand with theory, each reinforcing and explaining the other. This approach encourages students to develop not only the technical proficiency needed to go on to further study, but an appreciation for when, why, and how the tools of linear algebra can be used across modern applied mathematics. Providing an extensive treatment of essential topics such as Gaussian elimination, inner products and norms, and eigenvalues and singular values, this text can be used for an in-depth first course, or an application-driven second course in linear algebra. In this second edition, applications have been updated and expanded to include numerical methods, dynamical systems, data analysis, and signal processing, while the pedagogical flow of the core material has been improved. Throughout, the text emphasizes the conceptual connections between each application and the underlying linear algebraic techniques, thereby enabling students not only to learn how to apply the mathematical tools in routine contexts, but also to understand what is required to adapt to unusual or emerging problems. No previous knowledge of linear algebra is needed to approach this text, with single-variable calculus as the only formal prerequisite. However, the reader will need to draw upon some mathematical maturity to engage in the increasing abstraction inherent to the subject. Once equipped with the main tools and concepts from this book, students will be prepared for further study in differential equations, numerical analysis, data science and statistics, and a broad range of applications. The first author’s text, Introduction to Partial Differential Equations, is an ideal companion volume, forming a natural extension of the linear mathematical methods developed here.

Author : Thomas Shores
Publisher : Unknown
Page : 0 pages
File Size : 49,8 Mb
Release : 2000-08
Category : Algebras, Linear
ISBN : 0072437693

Get Book

Applied Linear Algebra and Matrix Analysis by Thomas Shores Pdf

This text is intended for a one or two semester sophomore/junior level course in linear algebra. It is designed to provide a balance of applications, theory and computation, and to emphasize their interdependence. The text has a strong orientation towards numerical computation and the linear algebra needed in applied mathematics. At the same time, it contains a rigorous and self-contained development of most of the traditional topics in a linear algebra course. It provides background for numerous projects, which frequently require computational tools, but is not tied to any one computational platform. A comprehensive set of exercises and projects is included.

Author : Xian-Da Zhang
Publisher : Cambridge University Press
Page : 761 pages
File Size : 49,8 Mb
Release : 2017-10-05
Category : Computers
ISBN : 9781108417419

Get Book

Matrix Analysis and Applications by Xian-Da Zhang Pdf

The theory, methods and applications of matrix analysis are presented here in a novel theoretical framework.