Exploring Linear Algebra

Author : Crista Arangala
Publisher : CRC Press
ISBN 13 : 1351664077
Total Pages : 155 pages
Book Rating : 4.73/5 ( 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 155 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 : Mary Jean Winter
Publisher : Dale Seymour Publications
ISBN 13 : 9780201815245
Total Pages : 0 pages
Book Rating : 4.49/5 ( download)

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Download or read book Algebra Experiments 1 written by Mary Jean Winter and published by Dale Seymour Publications. This book was released on 1992-09 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Using Alegbra Experiments I in conjunction with any algebra textbook, students construct mathematical models of real-world experiments. The seventeen experiments can be used to introduce, develop, and reinforce basic algebra concepts such as slope, intercept, and equation of a line; independent and dependent variables; the properties of a linear function; and the interconnections between the equation of a function and its graph. Algebra Experiments I reflects the basic philosophy of the NCTM standards for learning, teaching, and assessment. Students have an opportunity to work collaboratively, to interact, and to develop communication skills. Using the experiments, your students will: discover concrete meanings for basic algebra theory ; obtain meaningful practice in applying algebra skills ; experience success, as there are no predetermined correct answers ; understand better the relation of graphs and equations to the real world. Includes equipment lists, blackline master worksheets, suggestions for follow-up and conjectural questions, versatile extension activities, and evaluation and assessment guidelines. -- from back cover of Volume 1.

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.

Author : Crista Arangala
Publisher : CRC Press
ISBN 13 : 100085616X
Total Pages : 310 pages
Book Rating : 4.63/5 ( download)

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Download or read book Linear Algebra With Machine Learning and Data written by Crista Arangala and published by CRC Press. This book was released on 2023-05-09 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook attempts to revolutionize the Advanced Linear Algebra course by offering the integration of data analysis through case studies. Many schools are trying to find ways to incorporate data analysis into the undergrad math curriculum. The author presents a real alternative to standard textbooks. The use of case studies to demonstrate how linear algebra can be used in data analysis separates this text from all others currently available from any major publisher.

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 : John Browne
Publisher : John M Browne
ISBN 13 : 1479197637
Total Pages : 589 pages
Book Rating : 4.37/5 ( download)

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Download or read book Grassmann Algebra Volume 1: Foundations written by John Browne and published by John M Browne. This book was released on 2012-10-25 with total page 589 pages. Available in PDF, EPUB and Kindle. Book excerpt: Grassmann Algebra Volume 1: Foundations Exploring extended vector algebra with Mathematica Grassmann algebra extends vector algebra by introducing the exterior product to algebraicize the notion of linear dependence. With it, vectors may be extended to higher-grade entities: bivectors, trivectors, … multivectors. The extensive exterior product also has a regressive dual: the regressive product. The pair behaves a little like the Boolean duals of union and intersection. By interpreting one of the elements of the vector space as an origin point, points can be defined, and the exterior product can extend points into higher-grade located entities from which lines, planes and multiplanes can be defined. Theorems of Projective Geometry are simply formulae involving these entities and the dual products. By introducing the (orthogonal) complement operation, the scalar product of vectors may be extended to the interior product of multivectors, which in this more general case may no longer result in a scalar. The notion of the magnitude of vectors is extended to the magnitude of multivectors: for example, the magnitude of the exterior product of two vectors (a bivector) is the area of the parallelogram formed by them. To develop these foundational concepts, we need only consider entities which are the sums of elements of the same grade. This is the focus of this volume. But the entities of Grassmann algebra need not be of the same grade, and the possible product types need not be constricted to just the exterior, regressive and interior products. For example quaternion algebra is simply the Grassmann algebra of scalars and bivectors under a new product operation. Clifford, geometric and higher order hypercomplex algebras, for example the octonions, may be defined similarly. If to these we introduce Clifford's invention of a scalar which squares to zero, we can define entities (for example dual quaternions) with which we can perform elaborate transformations. Exploration of these entities, operations and algebras will be the focus of the volume to follow this. There is something fascinating about the beauty with which the mathematical structures that Hermann Grassmann discovered describe the physical world, and something also fascinating about how these beautiful structures have been largely lost to the mainstreams of mathematics and science. He wrote his seminal Ausdehnungslehre (Die Ausdehnungslehre. Vollständig und in strenger Form) in 1862. But it was not until the latter part of his life that he received any significant recognition for it, most notably by Gibbs and Clifford. In recent times David Hestenes' Geometric Algebra must be given the credit for much of the emerging awareness of Grass­mann's innovation. In the hope that the book be accessible to scientists and engineers, students and professionals alike, the text attempts to avoid any terminology which does not make an essential contribution to an understanding of the basic concepts. Some familiarity with basic linear algebra may however be useful. The book is written using Mathematica, a powerful system for doing mathematics on a computer. This enables the theory to be cross-checked with computational explorations. However, a knowledge of Mathematica is not essential for an appreciation of Grassmann's beautiful ideas.

Author : Stephen Boyd
Publisher : Cambridge University Press
ISBN 13 : 1316518965
Total Pages : 477 pages
Book Rating : 4.60/5 ( download)

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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.

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 : Crista Arangala
Publisher : CRC Press
ISBN 13 : 1498771068
Total Pages : 123 pages
Book Rating : 4.61/5 ( download)

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Download or read book Exploring Calculus written by Crista Arangala and published by CRC Press. This book was released on 2016-08-19 with total page 123 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text is meant to be a hands-on lab manual that can be used in class every day to guide the exploration of the theory and applications of differential and integral calculus. For the most part, labs 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, technology, Mathematica R visualization, and Mathematica CDFs that allow students to discover the theory and applications of differential and integral calculus in a meaningful and memorable way. Employs Mathematica to calculate and explore concepts and theories of calculus Uses engaging labs to inspire learning Includes many applications to a variety of fields that can promote research projects User-friendly approach that can be used for classroom work or independent exploratory learning

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.