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Author: Elias Deeba Publisher: Springer Science & Business Media ISBN: 9780387982403 Category : Mathematics Languages : en Pages : 338
Book Description
A complete software package consisting of the printed book and a CD-ROM (with diskettes available on request). The interactive text includes: * A graphical user interface for easy navigation through the text along with animations that explain linear algebra concepts geometrically. * Interactive lessons with emphasis on experimentation and conjecturing. * A collection of labs which strengthens the learning of the concepts. * Applications which stress modelling and the use of linear algebra in various disciplines. * A unique library of interactive "high-level" functions written in Maple V that can be used in different modes. * A stand alone testing system. The authors believe that students of mathematics should enjoy, understand, assimilate, and apply the skills and concepts they study, and, as such, here they play a fundamental and active role throughout the learning process.
Author: Elias Deeba Publisher: Springer Science & Business Media ISBN: 9780387982403 Category : Mathematics Languages : en Pages : 338
Book Description
A complete software package consisting of the printed book and a CD-ROM (with diskettes available on request). The interactive text includes: * A graphical user interface for easy navigation through the text along with animations that explain linear algebra concepts geometrically. * Interactive lessons with emphasis on experimentation and conjecturing. * A collection of labs which strengthens the learning of the concepts. * Applications which stress modelling and the use of linear algebra in various disciplines. * A unique library of interactive "high-level" functions written in Maple V that can be used in different modes. * A stand alone testing system. The authors believe that students of mathematics should enjoy, understand, assimilate, and apply the skills and concepts they study, and, as such, here they play a fundamental and active role throughout the learning process.
Author: Linear Algebra Modules Project Publisher: Addison Wesley ISBN: 9780201648461 Category : Algebras, Linear Languages : en Pages : 0
Book Description
DESCRIPTION Linear Algebra: Modules for Interactive Learning Using Maple� is organized into a collection of twenty-eight extensive (and intensive) modules, which must be used in conjunction with Release 5 of Maple V�. Each module is divided into an interactive Tutorial followed by a rich and substantial collection of Problems. Linear Algebra: Modules for Interactive Learning Using Maple� has been carefully designed to help students develop their geometric intuition and deepen their understanding of linear algebra concepts and methods. These modules support both individual work and interactive collaboration. They can be used as a supplement in a traditional lecture course, or in a lab-only format. Due to their versatility, they can be easily adapted to a variety of curricula, institutions, and styles of teaching. Goals of the Modules 1. To help students develop their geometric intuition about the concepts of linear algebra; 2. To deepen students' understanding of the algebraic formulation of these concepts and to strengthen their ability to manipulate concepts; 3. To help students gain an appreciation of how the concepts and methods of linear algebra are applied. Structure of the Modules Each module is divided into two main parts, the Tutorial and the Problems: The Tutorial is further divided into sections and consists of an interlaced text (usually brief), examples and demonstrations, and exercises (with answers provided in closed sections). The Problems are all intended to be fairly substantial, as they provide the work on which students will be graded. They include explorations, applications, constructions (e.g., of specified types of matrices or specified pictures or animations), counter-examples, short essays, proofs, true/false questions, and many challenging computations. Each module is a Maple worksheet that is to be used in conjunction with Release 5 of Maple V �.
Author: Gerald J. Porter Publisher: Springer Science & Business Media ISBN: 9780387946085 Category : Mathematics Languages : en Pages : 530
Book Description
Porter and Hill is the first completely interactive linear algebra course. Developed by the authors and class-tested at Penn, Temple and Duke University, Interactive Linear Algebra runs in Mathcad (Windows environment). The subject is taught in a laboratory setting, with or without additional lectures, and students realize that through this technology-centered approach, mathematics becomes an experimental science. Using the interactive approach, students become active participants in the learning process, which leads to a deeper understanding of the concepts, and at the same time the approach develops confidence in their ability to read, use and write about linear algebra. The electronic text guides students through the standard topics in linear algebra, with a carefully planned series of computer-based discussions, examples, questions, and projects. With its graphics, symbolics, numerics and editing capabilities, Mathcad provides the digital tools needed for developing, visualizing, connecting and applying important concepts.
Author: Paul E. Fishback Publisher: CRC Press ISBN: 9781420090659 Category : Business & Economics Languages : en Pages : 413
Book Description
Helps Students Understand Mathematical Programming Principles and Solve Real-World Applications Supplies enough mathematical rigor yet accessible enough for undergraduates Integrating a hands-on learning approach, a strong linear algebra focus, MapleTM software, and real-world applications, Linear and Nonlinear Programming with MapleTM: An Interactive, Applications-Based Approach introduces undergraduate students to the mathematical concepts and principles underlying linear and nonlinear programming. This text fills the gap between management science books lacking mathematical detail and rigor and graduate-level books on mathematical programming. Essential linear algebra tools Throughout the text, topics from a first linear algebra course, such as the invertible matrix theorem, linear independence, transpose properties, and eigenvalues, play a prominent role in the discussion. The book emphasizes partitioned matrices and uses them to describe the simplex algorithm in terms of matrix multiplication. This perspective leads to streamlined approaches for constructing the revised simplex method, developing duality theory, and approaching the process of sensitivity analysis. The book also discusses some intermediate linear algebra topics, including the spectral theorem and matrix norms. Maple enhances conceptual understanding and helps tackle problems Assuming no prior experience with Maple, the author provides a sufficient amount of instruction for students unfamiliar with the software. He also includes a summary of Maple commands as well as Maple worksheets in the text and online. By using Maple’s symbolic computing components, numeric capabilities, graphical versatility, and intuitive programming structures, students will acquire a deep conceptual understanding of major mathematical programming principles, along with the ability to solve moderately sized real-world applications. Hands-on activities that engage students Throughout the book, student understanding is evaluated through "waypoints" that involve basic computations or short questions. Some problems require paper-and-pencil calculations; others involve more lengthy calculations better suited for performing with Maple. Many sections contain exercises that are conceptual in nature and/or involve writing proofs. In addition, six substantial projects in one of the appendices enable students to solve challenging real-world problems.
Author: Victor Aladjev Publisher: Fultus Corporation ISBN: 1596820802 Category : Computers Languages : en Pages : 405
Book Description
The book consists of two parts. The first part consists of seven chapters and presents a new software for package Maple of releases 6-10. The tools represented in this chapters increase the range and efficiency of use of Maple on Windows platform. The basic attention is devoted to additional tools created in the process of practical use and testing the Maple of releases 4 - 10 which by some parameters extend essentially the opportunities of the package and facilitate the work with it.Whereas the algorithms of physical and engineering problems of the second part mainly use the finite element method (FEM). The part consists of eight chapters and solves in Maple environment the physical and engineering problems from such fields as: thermal conductivity, mechanics of deformable bodies, theory of elasticity, hydrodynamics, hydromechanics, etc. At last, application of Maple for solution of optimization problems is presented.
Author: Géza Schay Publisher: Springer Science & Business Media ISBN: 0817683259 Category : Mathematics Languages : en Pages : 338
Book Description
Building on the author's previous edition on the subject (Introduction to Linear Algebra, Jones & Bartlett, 1996), this book offers a refreshingly concise text suitable for a standard course in linear algebra, presenting a carefully selected array of essential topics that can be thoroughly covered in a single semester. Although the exposition generally falls in line with the material recommended by the Linear Algebra Curriculum Study Group, it notably deviates in providing an early emphasis on the geometric foundations of linear algebra. This gives students a more intuitive understanding of the subject and enables an easier grasp of more abstract concepts covered later in the course. The focus throughout is rooted in the mathematical fundamentals, but the text also investigates a number of interesting applications, including a section on computer graphics, a chapter on numerical methods, and many exercises and examples using MATLAB. Meanwhile, many visuals and problems (a complete solutions manual is available to instructors) are included to enhance and reinforce understanding throughout the book. Brief yet precise and rigorous, this work is an ideal choice for a one-semester course in linear algebra targeted primarily at math or physics majors. It is a valuable tool for any professor who teaches the subject.
Author: R.J. Stroeker Publisher: Birkhäuser ISBN: 3034887264 Category : Computers Languages : en Pages : 240
Book Description
This unusual introduction to Maple shows readers how Maple or any other computer algebra system fits naturally into a mathematically oriented work environment. Designed for mathematicians, engineers, econometricians, and other scientists, this book shows how computer algebra can enhance their theoretical work. A CD-ROM contains all the Maple worksheets presented in the book.
Author: Fred Szabo Publisher: Elsevier ISBN: 9780126801422 Category : Computers Languages : en Pages : 304
Book Description
Linear Algebra: An Introduction Using MAPLE is a text for a first undergraduate course in linear algebra. All students majoring in mathematics, computer science, engineering, physics, chemistry, economics, statistics, actuarial mathematics and other such fields of study will benefit from this text. The presentation is matrix-based and covers the standard topics for a first course recommended by the Linear Algebra Curriculum Study Group. The aim of the book is to make linear algebra accessible to all college majors through a focused presentation of the material, enriched by interactive learning and teaching with MAPLE. Development of analytical and computational skills is emphasized throughout Worked examples provide step-by-step methods for solving basic problems using Maple The subject's rich pertinence to problem solving across disciplines is illustrated with applications in engineering, the natural sciences, computer animation, and statistics
Author: Elias Deeba
Author: Elias Deeba
Author: E. Deeba
Author: Linear Algebra Modules Project
Author: Gerald J. Porter
Author: Eugene A. Herman
Author: Paul E. Fishback
Author: Victor Aladjev
Author: Géza Schay
Author: R.J. Stroeker
Author: Fred Szabo