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Maple In Mathematics Education And Research
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Book Synopsis Maple in Mathematics Education and Research by : Robert M. Corless
Download or read book Maple in Mathematics Education and Research written by Robert M. Corless and published by Springer Nature. This book was released on 2021-07-19 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes refereed proceedings of the 4th Maple Conference, MC 2020, held in Waterloo, Ontario, Canada, in November 2020. The 25 revised full papers and 3 short papers were carefully reviewed and selected out of 75 submissions, one invited paper is also presented in the volume. The papers included in this book cover topics in education, algorithms, and applciations of the mathematical software Maple.
Book Synopsis Maple in Mathematics Education and Research by : Jürgen Gerhard
Download or read book Maple in Mathematics Education and Research written by Jürgen Gerhard and published by Springer Nature. This book was released on 2020-02-27 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the third Maple Conference, MC 2019, held in Waterloo, Ontario, Canada, in October 2019. The 21 revised full papers and 9 short papers were carefully reviewed and selected out of 37 submissions, one invited paper is also presented in the volume. The papers included in this book cover topics in education, algorithms, and applciations of the mathematical software Maple.
Book Synopsis Exploring Discrete Mathematics with Maple by : Kenneth H. Rosen
Download or read book Exploring Discrete Mathematics with Maple written by Kenneth H. Rosen and published by McGraw-Hill Science, Engineering & Mathematics. This book was released on 1997 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first supplement in discrete mathematics to concentrate on the computational aspects of the computer algebra system Maple. Detailed instructions for the use of Maple are included in an introductory chapter and in each subsequent chapter. Each chapter includes discussion of selected Computational and Exploration exercises in the corresponding chapter of Ken Rosen's text Discrete Math and It's Applications, Third Edition. New exercises and projects are included in each chapter to encourage further exploration of discrete mathematics using Maple. All of the Maple code in this supplement is available online via the Waterloo Maple Web site, in addition to new Maple routines that have been created which extend the current capabilities of Maple.
Book Synopsis Maple and Mathematica by : Inna K. Shingareva
Download or read book Maple and Mathematica written by Inna K. Shingareva and published by Springer Science & Business Media. This book was released on 2007-12-27 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: By presenting side-by-side comparisons, this handbook enables Mathematica users to quickly learn Maple, and vice versa. The parallel presentation enables students, mathematicians, scientists, and engineers to easily find equivalent functions on each of these algebra programs. The handbook provides core material for incorporating Maple and Mathematica as working tools into many different undergraduate mathematics courses.
Book Synopsis Mathematical Computing by : David Betounes
Download or read book Mathematical Computing written by David Betounes and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book teaches introductory computer programming using Maple, offering more mathematically oriented exercises and problems than those found in traditional programming courses, while reinforcing and applying concepts and techniques of calculus. Includes case studies.
Book Synopsis Physics with MAPLE by : Frank Y. Wang
Download or read book Physics with MAPLE written by Frank Y. Wang and published by John Wiley & Sons. This book was released on 2008-09-26 with total page 625 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by an experienced physicist who is active in applying computer algebra to relativistic astrophysics and education, this is the resource for mathematical methods in physics using MapleTM and MathematicaTM. Through in-depth problems from core courses in the physics curriculum, the author guides students to apply analytical and numerical techniques in mathematical physics, and present the results in interactive graphics. Around 180 simulating exercises are included to facilitate learning by examples. This book is a must-have for students of physics, electrical and mechanical engineering, materials scientists, lecturers in physics, and university libraries. * Free online MapleTM material at http://www.wiley-vch.de/templates/pdf/maplephysics.zip * Free online MathematicaTM material at http://www.wiley-vch.de/templates/pdf/physicswithmathematica.zip * Solutions manual for lecturers available at www.wiley-vch.de/supplements/
Book Synopsis Introduction to Maple by : Andre HECK
Download or read book Introduction to Maple written by Andre HECK and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 503 pages. Available in PDF, EPUB and Kindle. Book excerpt: The fully revised edition of this best-selling title presents the modern computer algebra system Maple. It teaches the reader not only what can be done by Maple, but also how and why it can be done. The book provides the necessary background for those who want the most of Maple or want to extend its built-in knowledge, containing both elementary and more sophisticated examples as well as many exercises.
Book Synopsis Essential Maple by : Robert M. Corless
Download or read book Essential Maple written by Robert M. Corless and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 229 pages. Available in PDF, EPUB and Kindle. Book excerpt: What's in this book This book contains an accelerated introduction to Maple, a computer alge bra language. It is intended for scientific programmers who have experience with other computer languages such as C, FORTRAN, or Pascal. If you wish a longer and more leisurely introduction to Maple, see (8, 27, 39). This book is also intended as a reference summary for people who use Maple infrequently enough so that they forget key commands. Chapter 4 is a keyword summary. This will be useful if you have forgotten the exact Maple command for what you want. This chapter is best accessed through the table of contents, since it is organized by subject matter. The mathematical prerequisites are calculus, linear algebra, and some differential equations. A course in numerical analysis will also help. Any extra mathematics needed will be developed in the book. This book was prepared using Maple V Release 3, although most of the examples will work with, at most, only slight modification in Maple V Release 2. This book does not require any particular hardware. The systems I have used in developing the book are machines running IBM DOS and WIN/OS2, Unix machines in an ASCII terminal mode, and x windows systems. There should be no adjustments necessary for readers equipped with Macintoshes or other hardware. Maple is an evolving system. New features will be described in the documentation for updates (?updates in Maple).
Book Synopsis Solving Nonlinear Partial Differential Equations with Maple and Mathematica by : Inna Shingareva
Download or read book Solving Nonlinear Partial Differential Equations with Maple and Mathematica written by Inna Shingareva and published by Springer Science & Business Media. This book was released on 2011-07-24 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: The emphasis of the book is given in how to construct different types of solutions (exact, approximate analytical, numerical, graphical) of numerous nonlinear PDEs correctly, easily, and quickly. The reader can learn a wide variety of techniques and solve numerous nonlinear PDEs included and many other differential equations, simplifying and transforming the equations and solutions, arbitrary functions and parameters, presented in the book). Numerous comparisons and relationships between various types of solutions, different methods and approaches are provided, the results obtained in Maple and Mathematica, facilitates a deeper understanding of the subject. Among a big number of CAS, we choose the two systems, Maple and Mathematica, that are used worldwide by students, research mathematicians, scientists, and engineers. As in the our previous books, we propose the idea to use in parallel both systems, Maple and Mathematica, since in many research problems frequently it is required to compare independent results obtained by using different computer algebra systems, Maple and/or Mathematica, at all stages of the solution process. One of the main points (related to CAS) is based on the implementation of a whole solution method (e.g. starting from an analytical derivation of exact governing equations, constructing discretizations and analytical formulas of a numerical method, performing numerical procedure, obtaining various visualizations, and comparing the numerical solution obtained with other types of solutions considered in the book, e.g. with asymptotic solution).
Book Synopsis Advanced Engineering Mathematics by : Robert J. Lopez
Download or read book Advanced Engineering Mathematics written by Robert J. Lopez and published by Addison Wesley. This book was released on 2001-01-01 with total page 1158 pages. Available in PDF, EPUB and Kindle. Book excerpt: This innovative text was written for the one or two-semester, sophomore/junior level advanced maths course for engineers. It was built from the ground up using a Computer Algebra System, offering the student opportunities to visualize and experience the maths at every turn. The text has been designed to accommodate a variety of teaching styles, and varying levels on technology integration. It has a logical arrangement with many short self-contained sections, and many real-world applications of interest to engineering students. Chapter Introductions and Chapter Summaries help to make the material more accessible, and Chapter Review Exercises provides constant checks along the way. *A CD-ROM is included in the back of every book, which contains Maple worksheets. The Maple worksheets are fully integrated with the books content, and provide a great resource for students when working on exercise sections. The CD-ROM allows the instructor and the student to take full advantage of what the text has to offer. *Logical arrangement with many short self-contained sections. *Exercises are divided into two sections: those designed to be computed by hand (A exercises), and those to be computed w
Book Synopsis How to Teach Mathematics, Second Edition by : Steven George Krantz
Download or read book How to Teach Mathematics, Second Edition written by Steven George Krantz and published by American Mathematical Soc.. This book was released on 1999 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: This expanded edition of the original bestseller, How to Teach Mathematics, offers hands-on guidance for teaching mathematics in the modern classroom setting. Twelve appendices have been added that are written by experts who have a wide range of opinions and viewpoints on the major teaching issues. Eschewing generalities, the award-winning author and teacher, Steven Krantz, addresses issues such as preparation, presentation, discipline, and grading. He also emphasizes specifics--from how to deal with students who beg for extra points on an exam to mastering blackboard technique to how to use applications effectively. No other contemporary book addresses the principles of good teaching in such a comprehensive and cogent manner. The broad appeal of this text makes it accessible to areas other than mathematics. The principles presented can apply to a variety of disciplines--from music to English to business. Lively and humorous, yet serious and sensible, this volume offers readers incisive information and practical applications.
Book Synopsis Didactics of Mathematics as a Scientific Discipline by : Rolf Biehler
Download or read book Didactics of Mathematics as a Scientific Discipline written by Rolf Biehler and published by Springer Science & Business Media. This book was released on 2006-04-11 with total page 459 pages. Available in PDF, EPUB and Kindle. Book excerpt: Didactics of Mathematics as a Scientific Discipline describes the state of the art in a new branch of science. Starting from a general perspective on the didactics of mathematics, the 30 original contributions to the book, drawn from 10 different countries, go on to identify certain subdisciplines and suggest an overall structure or `topology' of the field. The book is divided into eight sections: (1) Preparing Mathematics for Students; (2) Teacher Education and Research on Teaching; (3) Interaction in the Classroom; (4) Technology and Mathematics Education; (5) Psychology of Mathematical Thinking; (6) Differential Didactics; (7) History and Epistemology of Mathematics and Mathematics Education; (8) Cultural Framing of Teaching and Learning Mathematics. Didactics of Mathematics as a Scientific Discipline is required reading for all researchers into the didactics of mathematics, and contains surveys and a variety of stimulating reflections which make it extremely useful for mathematics educators and teacher trainers interested in the theory of their practice. Future and practising teachers of mathematics will find much to interest them in relation to their daily work, especially as it relates to the teaching of different age groups and ability ranges. The book is also recommended to researchers in neighbouring disciplines, such as mathematics itself, general education, educational psychology and cognitive science.
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.
Book Synopsis Learning to Think Spatially by : National Research Council
Download or read book Learning to Think Spatially written by National Research Council and published by National Academies Press. This book was released on 2005-02-03 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: Learning to Think Spatially examines how spatial thinking might be incorporated into existing standards-based instruction across the school curriculum. Spatial thinking must be recognized as a fundamental part of Kâ€"12 education and as an integrator and a facilitator for problem solving across the curriculum. With advances in computing technologies and the increasing availability of geospatial data, spatial thinking will play a significant role in the information-based economy of the twenty-first century. Using appropriately designed support systems tailored to the Kâ€"12 context, spatial thinking can be taught formally to all students. A geographic information system (GIS) offers one example of a high-technology support system that can enable students and teachers to practice and apply spatial thinking in many areas of the curriculum.
Book Synopsis Alternative Theoretical Frameworks for Mathematics Education Research by : Elizabeth de Freitas
Download or read book Alternative Theoretical Frameworks for Mathematics Education Research written by Elizabeth de Freitas and published by Springer. This book was released on 2016-08-31 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explicates some of the fundamental philosophical tenets underpinning key theoretical frameworks, and demonstrates how these tenets inform particular kinds of research practice in mathematics education research. We believe that a deep understanding of significant theories from the humanities and social sciences is crucial for doing high-quality research in education. For that reason, this book focuses on six key theoretical sources, unpacking their relevance and application to specific research examples. We situate these key theorists within a larger framework pertaining to the history of thought more generally, and discuss how competing theories of teaching and learning differ in terms of their philosophical assumptions. In so doing, we offer context and motivation for particular research methods, with the agenda of helping researchers reflect on why particular approaches and not others might work for them.
Book Synopsis Student Misconceptions and Errors in Physics and Mathematics by : Teresa Neidorf
Download or read book Student Misconceptions and Errors in Physics and Mathematics written by Teresa Neidorf and published by Springer Nature. This book was released on 2019-10-30 with total page 173 pages. Available in PDF, EPUB and Kindle. Book excerpt: This open access report explores the nature and extent of students’ misconceptions and misunderstandings related to core concepts in physics and mathematics and physics across grades four, eight and 12. Twenty years of data from the IEA’s Trends in International Mathematics and Science Study (TIMSS) and TIMSS Advanced assessments are analyzed, specifically for five countries (Italy, Norway, Russian Federation, Slovenia, and the United States) who participated in all or almost all TIMSS and TIMSS Advanced assessments between 1995 and 2015. The report focuses on students’ understandings related to gravitational force in physics and linear equations in mathematics. It identifies some specific misconceptions, errors, and misunderstandings demonstrated by the TIMSS Advanced grade 12 students for these core concepts, and shows how these can be traced back to poor foundational development of these concepts in earlier grades. Patterns in misconceptions and misunderstandings are reported by grade, country, and gender. In addition, specific misconceptions and misunderstandings are tracked over time, using trend items administered in multiple assessment cycles. The study and associated methodology may enable education systems to help identify specific needs in the curriculum, improve inform instruction across grades and also raise possibilities for future TIMSS assessment design and reporting that may provide more diagnostic outcomes.
Book Synopsis Handbook of International Research in Mathematics Education by : Lyn D. English
Download or read book Handbook of International Research in Mathematics Education written by Lyn D. English and published by Routledge. This book was released on 2010-04-02 with total page 942 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book brings together mathematics education research that makes a difference in both theory and practice - research that anticipates problems and needed knowledge before they become impediments to progress.