Matrices and Linear Algebra

Author: Hans Schneider,George Phillip Barker

Publisher: Courier Corporation

ISBN: 0486139301

Category: Mathematics

Page: 432

View: 1473

Basic textbook covers theory of matrices and its applications to systems of linear equations and related topics such as determinants, eigenvalues, and differential equations. Includes numerous exercises.

Linear Algebra for Everyone

Author: Lorenzo Robbiano

Publisher: Springer Science & Business Media

ISBN: 9788847018396

Category: Mathematics

Page: 218

View: 1301

This book provides students with the rudiments of Linear Algebra, a fundamental subject for students in all areas of science and technology. The book would also be good for statistics students studying linear algebra. It is the translation of a successful textbook currently being used in Italy. The author is a mathematician sensitive to the needs of a general audience. In addition to introducing fundamental ideas in Linear Algebra through a wide variety of interesting examples, the book also discusses topics not usually covered in an elementary text (e.g. the "cost" of operations, generalized inverses, approximate solutions). The challenge is to show why the "everyone" in the title can find Linear Algebra useful and easy to learn. The translation has been prepared by a native English speaking mathematician, Professor Anthony V. Geramita.

Linear Algebra

A Course for Physicists and Engineers

Author: Arak M. Mathai,Hans J. Haubold

Publisher: Walter de Gruyter GmbH & Co KG

ISBN: 3110562596

Category: Mathematics

Page: 467

View: 918

In order not to intimidate students by a too abstract approach, this textbook on linear algebra is written to be easy to digest by non-mathematicians. It introduces the concepts of vector spaces and mappings between them without dwelling on statements such as theorems and proofs too much. It is also designed to be self-contained, so no other material is required for an understanding of the topics covered. As the basis for courses on space and atmospheric science, remote sensing, geographic information systems, meteorology, climate and satellite communications at UN-affiliated regional centers, various applications of the formal theory are discussed as well. These include differential equations, statistics, optimization and some engineering-motivated problems in physics. Contents Vectors Matrices Determinants Eigenvalues and eigenvectors Some applications of matrices and determinants Matrix series and additional properties of matrices

An Introduction to Linear Algebra

Author: L. Mirsky

Publisher: Courier Corporation

ISBN: 0486166449

Category: Mathematics

Page: 464

View: 2826

Rigorous, self-contained coverage of determinants, vectors, matrices and linear equations, quadratic forms, more. Elementary, easily readable account with numerous examples and problems at the end of each chapter.

Linear Algebra

Author: Walter Nef

Publisher: Courier Corporation

ISBN: 9780486657721

Category: Mathematics

Page: 304

View: 4321

Text covers sets and mappings, vector spaces, matrices, linear functionals, other basics; plus linear programming, Tchebychev approximations, more. Ideal introduction for undergraduates; reference for theoretical, applied mathematicians. Problems and exercises.

Linear Algebra: Volume 2

An Introduction with Concurrent Examples

Author: A. G. Hamilton

Publisher: Cambridge University Press

ISBN: 9780521310420

Category: Mathematics

Page: 328

View: 2861

Emphasis is placed on applications in preference to more theoretical aspects throughout this readable introduction to linear algebra for specialists as well as non-specialists. An expanded version of A First Course in Linear Algebra.

Linear Algebra

Author: Georgi? Evgen?evich Shilov

Publisher: Courier Corporation

ISBN: 9780486635187

Category: Mathematics

Page: 387

View: 3706

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.

Linear Algebra

An Introduction Using Mathematica

Author: Fred Szabo

Publisher: Academic Press

ISBN: 9780126801354

Category: Computers

Page: 590

View: 8756

Linear Algebra: An Introduction With Mathematica uses a matrix-based presentation and covers the standard topics any mathematician will need to understand linear algebra while using Mathematica. Development of analytical and computational skills is emphasized, and worked examples provide step-by-step methods for solving basic problems using Mathematica. The subject's rich pertinence to problem solving across disciplines is illustrated with applications in engineering, the natural sciences, computer animation, and statistics. * Includes a thematic presentation of linear algebra * Provides a systematic integration of Mathematica * Encourages students to appreciate the benefits of mathematical rigor * All exercises can be solved with Mathematica

Linear Algebra: A Modern Introduction

Author: David Poole

Publisher: Cengage Learning

ISBN: 1285463242

Category: Mathematics

Page: 720

View: 1681

David Poole's innovative LINEAR ALGEBRA: A MODERN INTRODUCTION, 4e emphasizes a vectors approach and better prepares students to make the transition from computational to theoretical mathematics. Balancing theory and applications, the book is written in a conversational style and combines a traditional presentation with a focus on student-centered learning. Theoretical, computational, and applied topics are presented in a flexible yet integrated way. Stressing geometric understanding before computational techniques, vectors and vector geometry are introduced early to help students visualize concepts and develop mathematical maturity for abstract thinking. Additionally, the book includes ample applications drawn from a variety of disciplines, which reinforce the fact that linear algebra is a valuable tool for modeling real-life problems. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.

Introduction to Linear Algebra

Author: Gilbert Strang

Publisher: Wellesley-Cambridge Press

ISBN: 9780980232776

Category: Mathematics

Page: 600

View: 5316

Linear algebra is something all mathematics undergraduates and many other students, in subjects ranging from engineering to economics, have to learn. The fifth edition of this hugely successful textbook retains all the qualities of earlier editions while at the same time seeing numerous minor improvements and major additions. The latter include: • A new chapter on singular values and singular vectors, including ways to analyze a matrix of data • A revised chapter on computing in linear algebra, with professional-level algorithms and code that can be downloaded for a variety of languages • A new section on linear algebra and cryptography • A new chapter on linear algebra in probability and statistics. A dedicated and active website also offers solutions to exercises as well as new exercises from many different sources (e.g. practice problems, exams, development of textbook examples), plus codes in MATLAB, Julia, and Python.

Linear Algebra

Theory and Applications

Author: Ward Cheney,David Kincaid

Publisher: Jones & Bartlett Publishers

ISBN: 1449613527

Category: Computers

Page: 624

View: 3060

Ward Cheney and David Kincaid have developed Linear Algebra: Theory and Applications, Second Edition, a multi-faceted introductory textbook, which was motivated by their desire for a single text that meets the various requirements for differing courses within linear algebra. For theoretically-oriented students, the text guides them as they devise proofs and deal with abstractions by focusing on a comprehensive blend between theory and applications. For application-oriented science and engineering students, it contains numerous exercises that help them focus on understanding and learning not only vector spaces, matrices, and linear transformations, but uses of software tools available for use in applied linear algebra. Using a flexible design, it is an ideal textbook for instructors who wish to make their own choice regarding what material to emphasis, and to accentuate those choices with homework assignments from a large variety of exercises, both in the text and online.

Linear Algebra

Author: C. Y. Hsiung,G. Y. Mao

Publisher: World Scientific

ISBN: 9789810244095

Category: Mathematics

Page: 444

View: 2303

Linear Algebra constitutes a foundation course for those specializing in the fields of mathematics, engineering and science. The course normally takes one semester, but for those needing a more rigorous study of the subject, it involve up to two semesters.This book is based on the lecture notes given for the linear algebra course at the Department of Mathematics in Wuhan University.

Linear Algebra

Author: Reg Allenby

Publisher: Butterworth-Heinemann

ISBN: 0080571794

Category: Mathematics

Page: 240

View: 1371

As the basis of equations (and therefore problem-solving), linear algebra is the most widely taught sub-division of pure mathematics. Dr Allenby has used his experience of teaching linear algebra to write a lively book on the subject that includes historical information about the founders of the subject as well as giving a basic introduction to the mathematics undergraduate. The whole text has been written in a connected way with ideas introduced as they occur naturally. As with the other books in the series, there are many worked examples.

Linear Algebra

Author: Larry Smith

Publisher: Springer Science & Business Media

ISBN: 9780387984551

Category: Mathematics

Page: 454

View: 5700

This popular and successful text was originally written for a one-semester course in linear algebra at the sophomore undergraduate level. Consequently, the book deals almost exclusively with real finite dimensional vector spaces, but in a setting and formulation that permits easy generalisation to abstract vector spaces. A wide selection of examples of vector spaces and linear transformation is presented to serve as a testing ground for the theory. In the second edition, a new chapter on Jordan normal form was added which reappears here in expanded form as the second goal of this new edition, after the principal axis theorem. To achieve these goals in one semester it is necessary to follow a straight path, but this is compensated by a wide selection of examples and exercises. In addition, the author includes an introduction to invariant theory to show that linear algebra alone is incapable of solving these canonical forms problems. A compact, but mathematically clean introduction to linear algebra with particular emphasis on topics in abstract algebra, the theory of differential equations, and group representation theory.

Linear Algebra

Author: Serge Lang

Publisher: Springer Science & Business Media

ISBN: 9780387964126

Category: Mathematics

Page: 285

View: 4207

"Linear Algebra" is intended for a one-term course at the junior or senior level. It begins with an exposition of the basic theory of vector spaces and proceeds to explain the fundamental structure theorem for linear maps, including eigenvectors and eigenvalues, quadratic and hermitian forms, diagnolization of symmetric, hermitian, and unitary linear maps and matrices, triangulation, and Jordan canonical form. The book also includes a useful chapter on convex sets and the finite-dimensional Krein-Milman theorem. The presentation is aimed at the student who has already had some exposure to the elementary theory of matrices, determinants and linear maps. However the book is logically self-contained. In this new edition, many parts of the book have been rewritten and reorganized, and new exercises have been added.

Introduction to Linear Algebra, 2nd edition

Author: T.A. Whitelaw

Publisher: CRC Press

ISBN: 9780751401592

Category: Mathematics

Page: 288

View: 2256

This popular textbook was thoughtfully and specifically tailored to introducing undergraduate students to linear algebra. The second edition has been carefully revised to improve upon its already successful format and approach. In particular, the author added a chapter on quadratic forms, making this one of the most comprehensive introductory texts on linear algebra.

Linear Algebra

Author: K. A. Stroud,Dexter J. Booth

Publisher: Industrial Press Inc.

ISBN: 9780831131883

Category: Mathematics

Page: 259

View: 4988

Using the same innovative and proven approach that made the authors' Engineering Mathematics a worldwide bestseller, this book can be used in the classroom or as an in-depth self-study guide. Its unique programmed approach patiently presents the mathematics in a step-by-step fashion together with a wealth of worked examples and exercises. It also contains Quizzes, Learning Outcomes, and Can You? checklists that guide readers through each topic and reinforce learning and comprehension. Both students and professionals alike will find this book a very effective learning tool and reference. Uses a unique programmed approach that takes readers through the mathematics in a step-by-step fashion with a wealth of worked examples and exercises. Contains many Quizzes, Learning Outcomes, and Can You? checklists. Ideal as a classroom textbook or a self-learning manual.

Linear Algebra Problem Book

Author: Paul R. Halmos

Publisher: MAA

ISBN: 9780883853221

Category: Mathematics

Page: 336

View: 8604

Takes the student step by step from basic axioms to advanced concepts. 164 problems, each with hints and full solutions.

Linear Algebra

A Pure Mathematical Approach

Author: H. E. Rose,Harvey E. Rose

Publisher: Springer Science & Business Media

ISBN: 9783764369057

Category: Mathematics

Page: 250

View: 3666

In algebra, an entity is called linear if it can be expressed in terms of addition, and multiplication by a scalar; a linear expression is a sum of scalar multiples of the entities under consideration. Also, an operation is called linear if it preserves addition, and multiplication by a scalar. For example, if A and Bare 2 x 2 real matrices, v is a (row) vector in the real plane, and c is a real number, then v(A + B) = vA + vB and (cv)A = c(vA), that is, the process of applying a matrix to a vector is linear. Linear Algebra is the study of properties and systems which preserve these two operations, and the following pages present the basic theory and results of this important branch of pure mathematics. There are many books on linear algebra in the bookshops and libraries of the world, so why write another? A number of excellent texts were written about fifty years ago (see the bibliography); in the intervening period the 'style' of math­ ematical presentation has changed. Also, some of the more modern texts have concentrated on applications both inside and outside mathematics. There is noth­ ing wrong with this approach; these books serve a very useful purpose. But linear algebra contains some fine pure mathematics and so a modern text taking the pure mathematician's viewpoint was thought to be worthwhile.

Golden Linear Algebra

Author: Prakash Om

Publisher: Firewall Media

ISBN: 9788170081500

Category: Algebras, Linear

Page: 298

View: 4724