Principles Of Linear Algebra With Mathematica

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Principles of Linear Algebra with Mathematica

Author : Kenneth M. Shiskowski
Publisher : John Wiley & Sons
ISBN 13 : 1118627261
Total Pages : 624 pages
Book Rating : 4.1/5 (186 download)

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Book Synopsis Principles of Linear Algebra with Mathematica by : Kenneth M. Shiskowski

Download or read book Principles of Linear Algebra with Mathematica written by Kenneth M. Shiskowski and published by John Wiley & Sons. This book was released on 2013-06-07 with total page 624 pages. Available in PDF, EPUB and Kindle. Book excerpt: A hands-on introduction to the theoretical and computational aspects of linear algebra using Mathematica® Many topics in linear algebra are simple, yet computationally intensive, and computer algebra systems such as Mathematica® are essential not only for learning to apply the concepts to computationally challenging problems, but also for visualizing many of the geometric aspects within this field of study. Principles of Linear Algebra with Mathematica uniquely bridges the gap between beginning linear algebra and computational linear algebra that is often encountered in applied settings, and the commands required to solve complex and computationally challenging problems using Mathematica are provided. The book begins with an introduction to the commands and programming guidelines for working with Mathematica. Next, the authors explore linear systems of equations and matrices, applications of linear systems and matrices, determinants, inverses, and Cramer's rule. Basic linear algebra topics, such as vectors, dot product, cross product, and vector projection are explored, as well as a unique variety of more advanced topics including rotations in space, 'rolling' a circle along a curve, and the TNB Frame. Subsequent chapters feature coverage of linear transformations from Rn to Rm, the geometry of linear and affine transformations, with an exploration of their effect on arclength, area, and volume, least squares fits, and pseudoinverses. Mathematica is used to enhance concepts and is seamlessly integrated throughout the book through symbolic manipulations, numerical computations, graphics in two and three dimensions, animations, and programming. Each section concludes with standard problems in addition to problems that were specifically designed to be solved with Mathematica, allowing readers to test their comprehension of the presented material. All related Mathematica code is available on a corresponding website, along with solutions to problems and additional topical resources. Extensively class-tested to ensure an accessible presentation, Principles of Linear Algebra with Mathematica is an excellent book for courses on linear algebra at the undergraduate level. The book is also an ideal reference for students and professionals who would like to gain a further understanding of the use of Mathematica to solve linear algebra problems.

Principles of Linear Algebra

Author : Jean Larrieu
Publisher : Gordon & Breach Publishing Group
ISBN 13 : 9780677016153
Total Pages : 273 pages
Book Rating : 4.0/5 (161 download)

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Book Synopsis Principles of Linear Algebra by : Jean Larrieu

Download or read book Principles of Linear Algebra written by Jean Larrieu and published by Gordon & Breach Publishing Group. This book was released on 1972-01-01 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Linear Algebra and Linear Operators in Engineering

Author : H. Ted Davis
Publisher : Elsevier
ISBN 13 : 0080510248
Total Pages : 561 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Linear Algebra and Linear Operators in Engineering by : H. Ted Davis

Download or read book Linear Algebra and Linear Operators in Engineering written by H. Ted Davis and published by Elsevier. This book was released on 2000-07-12 with total page 561 pages. Available in PDF, EPUB and Kindle. Book excerpt: Designed for advanced engineering, physical science, and applied mathematics students, this innovative textbook is an introduction to both the theory and practical application of linear algebra and functional analysis. The book is self-contained, beginning with elementary principles, basic concepts, and definitions. The important theorems of the subject are covered and effective application tools are developed, working up to a thorough treatment of eigenanalysis and the spectral resolution theorem. Building on a fundamental understanding of finite vector spaces, infinite dimensional Hilbert spaces are introduced from analogy. Wherever possible, theorems and definitions from matrix theory are called upon to drive the analogy home. The result is a clear and intuitive segue to functional analysis, culminating in a practical introduction to the functional theory of integral and differential operators. Numerous examples, problems, and illustrations highlight applications from all over engineering and the physical sciences. Also included are several numerical applications, complete with Mathematica solutions and code, giving the student a "hands-on" introduction to numerical analysis. Linear Algebra and Linear Operators in Engineering is ideally suited as the main text of an introductory graduate course, and is a fine instrument for self-study or as a general reference for those applying mathematics. Contains numerous Mathematica examples complete with full code and solutions Provides complete numerical algorithms for solving linear and nonlinear problems Spans elementary notions to the functional theory of linear integral and differential equations Includes over 130 examples, illustrations, and exercises and over 220 problems ranging from basic concepts to challenging applications Presents real-life applications from chemical, mechanical, and electrical engineering and the physical sciences

The Student's Introduction to MATHEMATICA ®

Author : Bruce F. Torrence
Publisher : Cambridge University Press
ISBN 13 : 9780521594615
Total Pages : 304 pages
Book Rating : 4.5/5 (946 download)

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Book Synopsis The Student's Introduction to MATHEMATICA ® by : Bruce F. Torrence

Download or read book The Student's Introduction to MATHEMATICA ® written by Bruce F. Torrence and published by Cambridge University Press. This book was released on 1999-05-13 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a brief introduction to those aspects of Mathematica most needed by students.

Introduction to Applied Linear Algebra

Author : Stephen Boyd
Publisher : Cambridge University Press
ISBN 13 : 1316518965
Total Pages : 477 pages
Book Rating : 4.3/5 (165 download)

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Book Synopsis Introduction to Applied Linear Algebra by : Stephen Boyd

Download or read book Introduction to Applied Linear Algebra written by Stephen Boyd and published by Cambridge University Press. This book was released on 2018-06-07 with total page 477 pages. Available in PDF, EPUB and Kindle. Book excerpt: A groundbreaking introduction to vectors, matrices, and least squares for engineering applications, offering a wealth of practical examples.

Principles of Linear Algebra With Maple

Author : Kenneth M. Shiskowski
Publisher : Wiley
ISBN 13 : 9780470637593
Total Pages : 0 pages
Book Rating : 4.6/5 (375 download)

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Book Synopsis Principles of Linear Algebra With Maple by : Kenneth M. Shiskowski

Download or read book Principles of Linear Algebra With Maple written by Kenneth M. Shiskowski and published by Wiley. This book was released on 2010-09-28 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: An accessible introduction to the theoretical and computational aspects of linear algebra using MapleTM Many topics in linear algebra can be computationally intensive, and software programs often serve as important tools for understanding challenging concepts and visualizing the geometric aspects of the subject. Principles of Linear Algebra with Maple uniquely addresses the quickly growing intersection between subject theory and numerical computation, providing all of the commands required to solve complex and computationally challenging linear algebra problems using Maple. The authors supply an informal, accessible, and easy-to-follow treatment of key topics often found in a first course in linear algebra. Requiring no prior knowledge of the software, the book begins with an introduction to the commands and programming guidelines for working with Maple. Next, the book explores linear systems of equations and matrices, applications of linear systems and matrices, determinants, inverses, and Cramer's rule. Basic linear algebra topics such as vectors, dot product, cross product, and vector projection are explained, as well as the more advanced topics of rotations in space, rolling a circle along a curve, and the TNB Frame. Subsequent chapters feature coverage of linear transformations from Rn to Rm, the geometry of linear and affine transformations, least squares fits and pseudoinverses, and eigenvalues and eigenvectors. The authors explore several topics that are not often found in introductory linear algebra books, including sensitivity to error and the effects of linear and affine maps on the geometry of objects. The Maple software highlights the topic's visual nature, as the book is complete with numerous graphics in two and three dimensions, animations, symbolic manipulations, numerical computations, and programming. In addition, a related Web site features supplemental material, including Maple code for each chapter's problems, solutions, and color versions of the book's figures. Extensively class-tested to ensure an accessible presentation, Principles of Linear Algebra with Maple is an excellent book for courses on linear algebra at the undergraduate level. It is also an ideal reference for students and professionals who would like to gain a further understanding of the use of Maple to solve linear algebra problems.

The Linear Algebra Survival Guide

Author : Fred Szabo
Publisher : Academic Press
ISBN 13 : 0124095313
Total Pages : 441 pages
Book Rating : 4.1/5 (24 download)

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Book Synopsis The Linear Algebra Survival Guide by : Fred Szabo

Download or read book The Linear Algebra Survival Guide written by Fred Szabo and published by Academic Press. This book was released on 2015-02-27 with total page 441 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Linear Algebra Survival Guide offers a concise introduction to the difficult core topics of linear algebra, guiding you through the powerful graphic displays and visualization of Mathematica that make the most abstract theories seem simple - allowing you to tackle realistic problems using simple mathematical manipulations. This resource is therefore a guide to learning the content of Mathematica in a practical way, enabling you to manipulate potential solutions/outcomes, and learn creatively. No starting knowledge of the Mathematica system is required to use the book. Desktop, laptop, web-based versions of Mathematica are available on all major platforms. Mathematica Online for tablet and smartphone systems are also under development and increases the reach of the guide as a general reference, teaching and learning tool. Includes computational oriented information that complements the essential topics in linear algebra. Presents core topics in a simple, straightforward way with examples for exploring computational illustrations, graphics, and displays using Mathematica. Provides numerous examples of short code in the text, which can be modified for use with exercises to develop graphics displays for teaching, learning, and demonstrations.

Advanced Linear Algebra for Engineers with MATLAB

Author : Sohail A. Dianat
Publisher : CRC Press
ISBN 13 : 1351834371
Total Pages : 374 pages
Book Rating : 4.3/5 (518 download)

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Book Synopsis Advanced Linear Algebra for Engineers with MATLAB by : Sohail A. Dianat

Download or read book Advanced Linear Algebra for Engineers with MATLAB written by Sohail A. Dianat and published by CRC Press. This book was released on 2017-12-19 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: Arming readers with both theoretical and practical knowledge, Advanced Linear Algebra for Engineers with MATLAB® provides real-life problems that readers can use to model and solve engineering and scientific problems in fields ranging from signal processing and communications to electromagnetics and social and health sciences. Facilitating a unique understanding of rapidly evolving linear algebra and matrix methods, this book: Outlines the basic concepts and definitions behind matrices, matrix algebra, elementary matrix operations, and matrix partitions, describing their potential use in signal and image processing applications Introduces concepts of determinants, inverses, and their use in solving linear equations that result from electrical and mechanical-type systems Presents special matrices, linear vector spaces, and fundamental principles of orthogonality, using an appropriate blend of abstract and concrete examples and then discussing associated applications to enhance readers’ visualization of presented concepts Discusses linear operators, eigenvalues, and eigenvectors, and explores their use in matrix diagonalization and singular value decomposition Extends presented concepts to define matrix polynomials and compute functions using several well-known methods, such as Sylvester’s expansion and Cayley-Hamilton Introduces state space analysis and modeling techniques for discrete and continuous linear systems, and explores applications in control and electromechanical systems, to provide a complete solution for the state space equation Shows readers how to solve engineering problems using least square, weighted least square, and total least square techniques Offers a rich selection of exercises and MATLAB® assignments that build a platform to enhance readers’ understanding of the material Striking the appropriate balance between theory and real-life applications, this book provides both advanced students and professionals in the field with a valuable reference that they will continually consult.

Linear Algebra in Action

Author : Harry Dym
Publisher : American Mathematical Soc.
ISBN 13 : 1470409089
Total Pages : 610 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Linear Algebra in Action by : Harry Dym

Download or read book Linear Algebra in Action written by Harry Dym and published by American Mathematical Soc.. This book was released on 2013-12-31 with total page 610 pages. Available in PDF, EPUB and Kindle. Book excerpt: Linear algebra permeates mathematics, perhaps more so than any other single subject. It plays an essential role in pure and applied mathematics, statistics, computer science, and many aspects of physics and engineering. This book conveys in a user-friendly way the basic and advanced techniques of linear algebra from the point of view of a working analyst. The techniques are illustrated by a wide sample of applications and examples that are chosen to highlight the tools of the trade. In short, this is material that many of us wish we had been taught as graduate students. Roughly the first third of the book covers the basic material of a first course in linear algebra. The remaining chapters are devoted to applications drawn from vector calculus, numerical analysis, control theory, complex analysis, convexity and functional analysis. In particular, fixed point theorems, extremal problems, matrix equations, zero location and eigenvalue location problems, and matrices with nonnegative entries are discussed. Appendices on useful facts from analysis and supplementary information from complex function theory are also provided for the convenience of the reader. In this new edition, most of the chapters in the first edition have been revised, some extensively. The revisions include changes in a number of proofs, either to simplify the argument, to make the logic clearer or, on occasion, to sharpen the result. New introductory sections on linear programming, extreme points for polyhedra and a Nevanlinna-Pick interpolation problem have been added, as have some very short introductory sections on the mathematics behind Google, Drazin inverses, band inverses and applications of SVD together with a number of new exercises.

Linear Algebra and Its Applications with R

Author : Ruriko Yoshida
Publisher : CRC Press
ISBN 13 : 1000400247
Total Pages : 424 pages
Book Rating : 4.0/5 (4 download)

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Book Synopsis Linear Algebra and Its Applications with R by : Ruriko Yoshida

Download or read book Linear Algebra and Its Applications with R written by Ruriko Yoshida and published by CRC Press. This book was released on 2021-06-27 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book developed from the need to teach a linear algebra course to students focused on data science and bioinformatics programs. These students tend not to realize the importance of linear algebra in applied sciences, since traditional linear algebra courses tend to cover mathematical contexts but not the computational aspect of linear algebra or its applications to data science and bioinformatics. The author presents the topics in a traditional course, yet offers lectures as well as lab exercises on simulated and empirical data sets. This textbook provides students a theoretical basis which can then be applied to the practical R and Python problems, providing the tools needed for real-world applications. Each section starts with working examples to demonstrate how tools from linear algebra can help solve problems in applied sciences. These exercises start from easy computations, such as computing determinants of matrices, to practical applications on simulated and empirical data sets with R so that students learn how to get started with R, along with computational examples in each section, and then students learn how to apply what they've learned to problems in applied sciences. This book is designed from first principles to demonstrate the importance of linear algebra through working computational examples with R and Python, including tutorials on how to install R in the Appendix. If a student has never seen R, they can get started without any additional help. Since Python is one of the most popular languages in data science, optimization, and computer science, code supplements are available for students who feel more comfortable with Python. R is used primarily for computational examples to develop students’ practical computational skills. About the Author: Dr. Ruriko Yoshida is an Associate Professor of Operations Research at the Naval Postgraduate School. She received her PhD in Mathematics from the University of California, Davis. Her research topics cover a wide variety of areas: applications of algebraic combinatorics to statistical problems such as statistical learning on non-Euclidean spaces, sensor networks, phylogenetics, and phylogenomics. She teaches courses in statistics, stochastic models, probability, and data science.

Linear Algebra

Author : Theodore Shifrin
Publisher : Macmillan
ISBN 13 : 071674337X
Total Pages : 459 pages
Book Rating : 4.7/5 (167 download)

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Book Synopsis Linear Algebra by : Theodore Shifrin

Download or read book Linear Algebra written by Theodore Shifrin and published by Macmillan. This book was released on 2002 with total page 459 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introducing students to a subject that lies at the foundations of modern mathematics, physics, statistics, and many other disciplines, Linear Algebra: A Geometric Approach appeals to science and engineering students as well as mathematics students making the transition to more abstract advanced courses. One of the goals of this text is to help students learn to think about mathematical concepts and to write rigorous mathematical arguments. The authors do not presuppose any exposure to vectors or vector algebra, and only a passing acquaintance with the derivative and integral is required for certain (optional) topics. Linear Algebra, First Edition is now available exclusively at CourseSmart, as a digital eTextbook.

Indefinite Linear Algebra and Applications

Author : Israel Gohberg
Publisher : Springer Science & Business Media
ISBN 13 : 3764373504
Total Pages : 364 pages
Book Rating : 4.7/5 (643 download)

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Book Synopsis Indefinite Linear Algebra and Applications by : Israel Gohberg

Download or read book Indefinite Linear Algebra and Applications written by Israel Gohberg and published by Springer Science & Business Media. This book was released on 2006-02-08 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Linear Algebra

Author : H. E. Rose
Publisher : Springer Science & Business Media
ISBN 13 : 9783764369057
Total Pages : 276 pages
Book Rating : 4.3/5 (69 download)

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Book Synopsis Linear Algebra by : H. E. Rose

Download or read book Linear Algebra written by H. E. Rose and published by Springer Science & Business Media. This book was released on 2002 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: Linear algebra is one of the most important branches of mathematics - important because of its many applications to other areas of mathematics, and important because it contains a wealth of ideas and results which are basic to pure mathematics. This book gives an introduction to linear algebra, and develops and proves its fundamental properties and theorems taking a pure mathematical approach - linear algebra contains some fine pure mathematics. Main topics: - vector spaces and algebras, dimension, linear maps, direct sums, and (briefly) exact sequences - matrices and their connections with linear maps, determinants (properties proved using some elementary group theory), and linear equations - Cayley-Hamilton and Jordan theorems leading to the spectrum of a linear map - this provides a geometric-type description of these maps - Hermitian and inner product spaces introducing some metric properties (distance, perpendicularity etc.) into the theory, also unitary and orthogonal maps and matrices - applications to finite fields, mathematical coding theory, finite matrix groups, the geometry of quadratic forms, quaternions and Cayley numbers, and some basic group representation theory A large number of examples, exercises and problems are provided. Answers and/or sketch solutions to all of the problems are given in an appendix. Some of these are theoretical and some numerical, both types are important. No particular computer algebra package is discussed but a number of the exercises are intended to be solved using one of these packages chosen by the reader.The approach is pure-mathematical, and the intended readership is undergraduate mathematicians, also anyone who requires a more than basic understanding of the subject. This book will be most useful for a "second course" in linear algebra, that is for students that have seen some elementary matrix algebra. But as all terms are defined from scratch, the book can be used for a "first course" for more advanced students.

The Student's Introduction to Mathematica

Author : Bruce Follett Torrence
Publisher :
ISBN 13 : 9781139636544
Total Pages : 471 pages
Book Rating : 4.6/5 (365 download)

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Book Synopsis The Student's Introduction to Mathematica by : Bruce Follett Torrence

Download or read book The Student's Introduction to Mathematica written by Bruce Follett Torrence and published by . This book was released on 2009 with total page 471 pages. Available in PDF, EPUB and Kindle. Book excerpt: Those aspects of the Mathematica software program most useful to students are introduced in this guide. The commands are presented as a means of solving problems and illuminating the underlying mathematical principles. The book has been completely rewritten to cover Mathematica 6.

Introduction to Linear Algebra

Author : Lee W. Johnson
Publisher : Addison Wesley Publishing Company
ISBN 13 : 9780201033922
Total Pages : 376 pages
Book Rating : 4.0/5 (339 download)

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Book Synopsis Introduction to Linear Algebra by : Lee W. Johnson

Download or read book Introduction to Linear Algebra written by Lee W. Johnson and published by Addison Wesley Publishing Company. This book was released on 1981 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: A textbook that stresses both practical computation and theoretical principles, and centers on the principal topics of the first three chapters: matrix theory and systems of linear equations, elementary vector-space concepts, and the eigenvalue problem. This core material can be used for a brief (ten-week) course at the late- freshman/sophomore level. There is enough additional material in chapters 4-7 for a more advanced or more leisurely paced course. This edition (2nd, 1989) adds supplementary exercises at the end of each chapter, examples that illustrate the use of linear algebra software, new examples and exercises that illustrate applications of linear algebra, and a number of historical notes. Annotation copyright by Book News, Inc., Portland, OR

Numerical Linear Algebra and Optimization

Author : Philip E. Gill
Publisher : SIAM
ISBN 13 : 161197657X
Total Pages : 448 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis Numerical Linear Algebra and Optimization by : Philip E. Gill

Download or read book Numerical Linear Algebra and Optimization written by Philip E. Gill and published by SIAM. This book was released on 2021-05-13 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: This classic volume covers the fundamentals of two closely related topics: linear systems (linear equations and least-squares) and linear programming (optimizing a linear function subject to linear constraints). For each problem class, stable and efficient numerical algorithms intended for a finite-precision environment are derived and analyzed. While linear algebra and optimization have made huge advances since this book first appeared in 1991, the fundamental principles have not changed. These topics were rarely taught with a unified perspective, and, somewhat surprisingly, this remains true 30 years later. As a result, some of the material in this book can be difficult to find elsewhere—in particular, techniques for updating the LU factorization, descriptions of the simplex method applied to all-inequality form, and the analysis of what happens when using an approximate inverse to solve Ax=b. Numerical Linear Algebra and Optimization is primarily a reference for students who want to learn about numerical techniques for solving linear systems and/or linear programming using the simplex method; however, Chapters 6, 7, and 8 can be used as the text for an upper-division course on linear least squares and linear programming. Understanding is enhanced by numerous exercises.

Introduction to Linear Algebra

Author : Lee Johnson
Publisher : Addison-Wesley Longman
ISBN 13 : 9780201568035
Total Pages : 128 pages
Book Rating : 4.5/5 (68 download)

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Book Synopsis Introduction to Linear Algebra by : Lee Johnson

Download or read book Introduction to Linear Algebra written by Lee Johnson and published by Addison-Wesley Longman. This book was released on 1993-01-01 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to Linear Algebra, Sixth Edition, is a foundation text that bridges both practical computation and theoretical principles. This book's flexible table of contents makes it suitable for students majoring in science and engineering as well as students who want an introduction to mathematical abstraction and logical reasoning. To achieve this flexibility, the authors focus on three principle topics: matrix theory and systems of linear equations, elementary vector space concepts, and the eigenvalue problem. This highly adaptable text is appropriate for a one-quarter or one-semester course at the sophomore/junior level, or for a more advanced class at the junior/senior level.