Linear Algebra With Mathematica

Author : Kenneth M. Shiskowski
Publisher : John Wiley & Sons
ISBN 13 : 1118627261
Total Pages : 624 pages
Book Rating : 4.66/5 ( download)

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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.

Author : Fred Szabo
Publisher : Academic Press
ISBN 13 : 9780126801354
Total Pages : 682 pages
Book Rating : 4.55/5 ( download)

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Download or read book Linear Algebra with Mathematica written by Fred Szabo and published by Academic Press. This book was released on 2000-02-14 with total page 682 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : Fred Szabo
Publisher : Academic Press
ISBN 13 : 0124095313
Total Pages : 441 pages
Book Rating : 4.11/5 ( download)

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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.

Author : Kenneth M. Shiskowski
Publisher : John Wiley & Sons
ISBN 13 : 0470637951
Total Pages : 624 pages
Book Rating : 4.51/5 ( download)

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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 2011-08-02 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.

Author : H. Ted Davis
Publisher : Elsevier
ISBN 13 : 0080510248
Total Pages : 561 pages
Book Rating : 4.48/5 ( download)

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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

Author : Fred Szabo
Publisher : Elsevier
ISBN 13 : 9780126801378
Total Pages : 302 pages
Book Rating : 4.71/5 ( download)

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Download or read book Linear Algebra with Mathematica, Student Solutions Manual written by Fred Szabo and published by Elsevier. This book was released on 2000-09-07 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces interested readers, practitioners, and researchers to Mathematica$ methods for solving practical problems in linear algebra. It contains step-by-step solutions of problems in computer science, economics, engineering, mathematics, statistics, and other areas of application. Each chapter contains both elementary and more challenging problems, grouped by fields of application, and ends with a set of exercises. Selected answers are provided in an appendix. The book contains a glossary of definitions and theorem, as well as a summary of relevant Mathematica$ tools. Applications of Linear Algebra$ can be used both in laboratory sessions and as a source of take-home problems and projects. Concentrates on problem solving and aims to increase the readers' analytical skills Provides ample opportunities for applying theoretical results and transferring knowledge between different areas of application; Mathematica plays a key role in this process Makes learning fun and builds confidence Allows readers to tackle computationally challenging problems by minimizing the frustration caused by the arithmetic intricacies of numerical linear algebra

Author : Bruce F. Torrence
Publisher : Cambridge University Press
ISBN 13 : 1139473735
Total Pages : 484 pages
Book Rating : 4.36/5 ( download)

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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 2009-01-29 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: The unique feature of this compact student's introduction is that it presents concepts in an order that closely follows a standard mathematics curriculum, rather than structure the book along features of the software. As a result, the book provides a brief introduction to those aspects of the Mathematica software program most useful to students. The second edition of this well loved book is completely rewritten for Mathematica 6 including coverage of the new dynamic interface elements, several hundred exercises and a new chapter on programming. This book can be used in a variety of courses, from precalculus to linear algebra. Used as a supplementary text it will aid in bridging the gap between the mathematics in the course and Mathematica. In addition to its course use, this book will serve as an excellent tutorial for those wishing to learn Mathematica and brush up on their mathematics at the same time.

Author : Crista Arangala
Publisher : CRC Press
ISBN 13 : 1351664085
Total Pages : 146 pages
Book Rating : 4.80/5 ( download)

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Download or read book Exploring Linear Algebra written by Crista Arangala and published by CRC Press. This book was released on 2019-03-07 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: Exploring Linear Algebra: Labs and Projects with MATLAB® is a hands-on lab manual that can be used by students and instructors in classrooms every day to guide the exploration of the theory and applications of linear algebra. For the most part, labs discussed in the book can be used individually or in a sequence. Each lab consists of an explanation of material with integrated exercises. Some labs are split into multiple subsections and thus exercises are separated by those subsections. The exercise sections integrate problems using Mathematica demonstrations (an online tool that can be used with a browser with Java capabilities) and MATLAB® coding. This allows students to discover the theory and applications of linear algebra in a meaningful and memorable way. Features: The book’s inquiry-based approach promotes student interaction Each chapter contains a project set which consists of application-driven projects emphasizing the chapter’s materials Adds a project component to any Linear Algebra course Explores many applications to a variety of fields that can promote research projects Employs MATLAB® to calculate and explore concepts and theories of linear algebra

Author : Terry Lawson
Publisher : Wiley
ISBN 13 : 9780471149521
Total Pages : 161 pages
Book Rating : 4.27/5 ( download)

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Download or read book Linear Algebra, Mathematica Labs written by Terry Lawson and published by Wiley. This book was released on 1996-12-06 with total page 161 pages. Available in PDF, EPUB and Kindle. Book excerpt: High level linear algebra book that blends both computational and theoretical aspects, using each to enhance the other. Explains the key points of the Gaussian elimination algorithm. Discusses vector spaces and linear transformations using matrix computations. Takes advantage of software packages such as MATLAB, Mathematica, and Maple.

Author : Allen C. Hibbard
Publisher : Springer Science & Business Media
ISBN 13 : 1461215307
Total Pages : 476 pages
Book Rating : 4.01/5 ( download)

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Download or read book Exploring Abstract Algebra With Mathematica® written by Allen C. Hibbard and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: This upper-division laboratory supplement for courses in abstract algebra consists of several Mathematica packages programmed as a foundation for group and ring theory. Additionally, the "user's guide" illustrates the functionality of the underlying code, while the lab portion of the book reflects the contents of the Mathematica-based electronic notebooks. Students interact with both the printed and electronic versions of the material in the laboratory, and can look up details and reference information in the user's guide. Exercises occur in the stream of the text of the lab, which provides a context within which to answer, and the questions are designed to be either written into the electronic notebook, or on paper. The notebooks are available in both 2.2 and 3.0 versions of Mathematica, and run across all platforms for which Mathematica exits. A very timely and unique addition to the undergraduate abstract algebra curriculum, filling a tremendous void in the literature.