Insights Into Calculus Using Maple V

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Maple via Calculus

Author : Robert J. Lopez
Publisher : Springer Science & Business Media
ISBN 13 : 1461202671
Total Pages : 178 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Maple via Calculus by : Robert J. Lopez

Download or read book Maple via Calculus written by Robert J. Lopez and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modern software tools like Maple have the potential to alter radically the way mathematics is taught, learned, and done. Bringing such tools into the classroom during lectures, assignments, and examinations means that new ways oflooking at mathematics can becomepermanent fixtures ofthe curriculum. It is universal access that will make a software-based approach to mathematics become the norm. In 1988, with NSF funding under an III grant, I had the opportunity to bring Maple into the calculus classroom at Rose-Hulman Institute of Technology. Since then a new curriculum based on the availability ofcomputer algebra systems has evolved at RHIT and in my own courses. This volume contains a record of some of the insights gained into pedagogy using Maple in calculus. The activities and ideas captured in these Maple worksheets reflect concepts in calculus imple mented in Maple. There is an overt message to the reader that carries with it a side effect. However, it is possible that for one reader the side effect is the message and the message is the side effect! I had intended to put before my audience examples extracted from my Maple based curriculum to entice a wider acceptance ofthe benefits of making a computer algebra system become the basis of a revised calculus syllabus. By examples I had hoped to demonstrate the "rightness" of using software tools for teaching and learning calculus.

The Maple Book

Author : Frank Garvan
Publisher : CRC Press
ISBN 13 : 1420035606
Total Pages : 494 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis The Maple Book by : Frank Garvan

Download or read book The Maple Book written by Frank Garvan and published by CRC Press. This book was released on 2001-11-28 with total page 494 pages. Available in PDF, EPUB and Kindle. Book excerpt: Maple is a very powerful computer algebra system used by students, educators, mathematicians, statisticians, scientists, and engineers for doing numerical and symbolic computations. Greatly expanded and updated from the author's MAPLE V Primer, The MAPLE Book offers extensive coverage of the latest version of this outstanding software package, MAPL

Mathematical Computation with Maple V: Ideas and Applications

Author : Thomas Lee
Publisher : Springer Science & Business Media
ISBN 13 : 1461203511
Total Pages : 202 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Mathematical Computation with Maple V: Ideas and Applications by : Thomas Lee

Download or read book Mathematical Computation with Maple V: Ideas and Applications written by Thomas Lee and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: Developments in both computer hardware and Perhaps the greatest impact has been felt by the software over the decades have fundamentally education community. Today, it is nearly changed the way people solve problems. impossible to find a college or university that has Technical professionals have greatly benefited not introduced mathematical computation in from new tools and techniques that have allowed some form, into the curriculum. Students now them to be more efficient, accurate, and creative have regular access to the amount of in their work. computational power that were available to a very exclusive set of researchers five years ago. This Maple V and the new generation of mathematical has produced tremendous pedagogical computation systems have the potential of challenges and opportunities. having the same kind of revolutionary impact as high-level general purpose programming Comparisons to the calculator revolution of the languages (e.g. FORTRAN, BASIC, C), 70's are inescapable. Calculators have application software (e.g. spreadsheets, extended the average person's ability to solve Computer Aided Design - CAD), and even common problems more efficiently, and calculators have had. Maple V has amplified our arguably, in better ways. Today, one needs at mathematical abilities: we can solve more least a calculator to deal with standard problems problems more accurately, and more often. In in life -budgets, mortgages, gas mileage, etc. specific disciplines, this amplification has taken For business people or professionals, the excitingly different forms.

Calculus with Maple Labs

Author : Wiesław Krawcewicz
Publisher : Alpha Science Int'l Ltd.
ISBN 13 : 9781842650745
Total Pages : 718 pages
Book Rating : 4.6/5 (57 download)

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Book Synopsis Calculus with Maple Labs by : Wiesław Krawcewicz

Download or read book Calculus with Maple Labs written by Wiesław Krawcewicz and published by Alpha Science Int'l Ltd.. This book was released on 2003 with total page 718 pages. Available in PDF, EPUB and Kindle. Book excerpt: Offering a universally taught course: this complete exposition of a single varibale calculus elucidates transcendental functions, the notion of a sequence and its limit and the introduction of a limit of a function.

Calculus

Author : Robert Thomas Smith
Publisher : McGraw-Hill Science, Engineering & Mathematics
ISBN 13 :
Total Pages : 1144 pages
Book Rating : 4.0/5 ( download)

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Book Synopsis Calculus by : Robert Thomas Smith

Download or read book Calculus written by Robert Thomas Smith and published by McGraw-Hill Science, Engineering & Mathematics. This book was released on 2000 with total page 1144 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Discovering Calculus with Maple

Author : Kent Harris
Publisher : John Wiley & Sons, Incorporated
ISBN 13 :
Total Pages : 360 pages
Book Rating : 4.X/5 (2 download)

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Book Synopsis Discovering Calculus with Maple by : Kent Harris

Download or read book Discovering Calculus with Maple written by Kent Harris and published by John Wiley & Sons, Incorporated. This book was released on 1995 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: This substantially illustrated manual describes how to use Maple as an investigative tool to explore calculus concepts numerically, graphically, symbolically and verbally. Every chapter begins with Maple commands employed in the chapter, an introduction to the mathematical concepts being covered, worked examples in Maple worksheet format, followed by thought-provoking exercises and extensive discovery projects to encourage readers to investigate ideas on their own.

A Radical Approach to Real Analysis

Author : David Bressoud
Publisher : American Mathematical Society
ISBN 13 : 1470469049
Total Pages : 339 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis A Radical Approach to Real Analysis by : David Bressoud

Download or read book A Radical Approach to Real Analysis written by David Bressoud and published by American Mathematical Society. This book was released on 2022-02-22 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this second edition of the MAA classic, exploration continues to be an essential component. More than 60 new exercises have been added, and the chapters on Infinite Summations, Differentiability and Continuity, and Convergence of Infinite Series have been reorganized to make it easier to identify the key ideas. A Radical Approach to Real Analysis is an introduction to real analysis, rooted in and informed by the historical issues that shaped its development. It can be used as a textbook, as a resource for the instructor who prefers to teach a traditional course, or as a resource for the student who has been through a traditional course yet still does not understand what real analysis is about and why it was created. The book begins with Fourier's introduction of trigonometric series and the problems they created for the mathematicians of the early 19th century. It follows Cauchy's attempts to establish a firm foundation for calculus and considers his failures as well as his successes. It culminates with Dirichlet's proof of the validity of the Fourier series expansion and explores some of the counterintuitive results Riemann and Weierstrass were led to as a result of Dirichlet's proof.

A Maple Approach to Calculus

Author : John T. Gresser
Publisher :
ISBN 13 : 9780130105837
Total Pages : 324 pages
Book Rating : 4.1/5 (58 download)

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Book Synopsis A Maple Approach to Calculus by : John T. Gresser

Download or read book A Maple Approach to Calculus written by John T. Gresser and published by . This book was released on 1999 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ideally suited for use with either Strauss/Bradley/Smith or Varberg/Purcell/Rigdon, this manual may also be used in conjunction with other calculus texts. Many of the exercise sets have additional problems labeled "projects" which are somewhat more involved. These projects are designed to enhance problem-solving skills by making use of not only topics currently under discussion, but, occasionally, a wide variety of previously discussed topics as well.

Maple V Flight Manual

Author : Wade Ellis
Publisher : Wadsworth Publishing Company
ISBN 13 : 9780534212353
Total Pages : 214 pages
Book Rating : 4.2/5 (123 download)

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Book Synopsis Maple V Flight Manual by : Wade Ellis

Download or read book Maple V Flight Manual written by Wade Ellis and published by Wadsworth Publishing Company. This book was released on 1992 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Discovering Mathematics with Maple

Author : R.J. Stroeker
Publisher : Birkhäuser
ISBN 13 : 3034887264
Total Pages : 240 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Discovering Mathematics with Maple by : R.J. Stroeker

Download or read book Discovering Mathematics with Maple written by R.J. Stroeker and published by Birkhäuser. This book was released on 2012-12-06 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Delay Differential Equations

Author : Balakumar Balachandran
Publisher : Springer Science & Business Media
ISBN 13 : 0387855955
Total Pages : 349 pages
Book Rating : 4.3/5 (878 download)

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Book Synopsis Delay Differential Equations by : Balakumar Balachandran

Download or read book Delay Differential Equations written by Balakumar Balachandran and published by Springer Science & Business Media. This book was released on 2009-04-05 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: Delay Differential Equations: Recent Advances and New Directions cohesively presents contributions from leading experts on the theory and applications of functional and delay differential equations (DDEs). Students and researchers will benefit from a unique focus on theory, symbolic, and numerical methods, which illustrate how the concepts described can be applied to practical systems ranging from automotive engines to remote control over the Internet. Comprehensive coverage of recent advances, analytical contributions, computational techniques, and illustrative examples of the application of current results drawn from biology, physics, mechanics, and control theory. Students, engineers and researchers from various scientific fields will find Delay Differential Equations: Recent Advances and New Directions a valuable reference.

From Elementary Probability to Stochastic Differential Equations with MAPLE®

Author : Sasha Cyganowski
Publisher : Springer Science & Business Media
ISBN 13 : 3642561446
Total Pages : 323 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis From Elementary Probability to Stochastic Differential Equations with MAPLE® by : Sasha Cyganowski

Download or read book From Elementary Probability to Stochastic Differential Equations with MAPLE® written by Sasha Cyganowski and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an introduction to probabilistic and statistical concepts necessary to understand the basic ideas and methods of stochastic differential equations. Based on measure theory, which is introduced as smoothly as possible, it provides practical skills in the use of MAPLE in the context of probability and its applications. It offers to graduates and advanced undergraduates an overview and intuitive background for more advanced studies.

Introductory Statistics and Random Phenomena

Author : Manfred Denker
Publisher : Birkhäuser
ISBN 13 : 3319661523
Total Pages : 521 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Introductory Statistics and Random Phenomena by : Manfred Denker

Download or read book Introductory Statistics and Random Phenomena written by Manfred Denker and published by Birkhäuser. This book was released on 2017-09-16 with total page 521 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook integrates traditional statistical data analysis with new computational experimentation capabilities and concepts of algorithmic complexity and chaotic behavior in nonlinear dynamic systems. This was the first advanced text/reference to bring together such a comprehensive variety of tools for the study of random phenomena occurring in engineering and the natural, life, and social sciences. The crucial computer experiments are conducted using the readily available computer program Mathematica® Uncertain Virtual WorldsTM software packages which optimize and facilitate the simulation environment. Brief tutorials are included that explain how to use the Mathematica® programs for effective simulation and computer experiments. Large and original real-life data sets are introduced and analyzed as a model for independent study. This is an excellent classroom tool and self-study guide. The material is presented in a clear and accessible style providing numerous exercises and bibliographical notes suggesting further reading. Topics and Features Comprehensive and integrated treatment of uncertainty arising in engineering and scientific phenomena – algorithmic complexity, statistical independence, and nonlinear chaotic behavior Extensive exercise sets, examples, and Mathematica® computer experiments that reinforce concepts and algorithmic methods Thorough presentation of methods of data compression and representation Algorithmic approach to model selection and design of experiments Large data sets and 13 Mathematica®-based Uncertain Virtual WorldsTM programs and code This text is an excellent resource for all applied statisticians, engineers, and scientists who need to use modern statistical analysis methods to investigate and model their data. The present, softcover reprint is designed to make this classic textbook available to a wider audience.

Advanced Problem Solving Using Maple

Author : William P Fox
Publisher : CRC Press
ISBN 13 : 0429891326
Total Pages : 405 pages
Book Rating : 4.4/5 (298 download)

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Book Synopsis Advanced Problem Solving Using Maple by : William P Fox

Download or read book Advanced Problem Solving Using Maple written by William P Fox and published by CRC Press. This book was released on 2020-11-09 with total page 405 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advanced Problem Solving Using MapleTM: Applied Mathematics, Operations Research, Business Analytics, and Decision Analysis applies the mathematical modeling process by formulating, building, solving, analyzing, and criticizing mathematical models. Scenarios are developed within the scope of the problem-solving process. The text focuses on discrete dynamical systems, optimization techniques, single-variable unconstrained optimization and applied problems, and numerical search methods. Additional coverage includes multivariable unconstrained and constrained techniques. Linear algebra techniques to model and solve problems such as the Leontief model, and advanced regression techniques including nonlinear, logistics, and Poisson are covered. Game theory, the Nash equilibrium, and Nash arbitration are also included. Features: The text’s case studies and student projects involve students with real-world problem solving Focuses on numerical solution techniques in dynamical systems, optimization, and numerical analysis The numerical procedures discussed in the text are algorithmic and iterative Maple is utilized throughout the text as a tool for computation and analysis All algorithms are provided with step-by-step formats About the Authors: William P. Fox is an emeritus professor in the Department of Defense Analysis at the Naval Postgraduate School. Currently, he is an adjunct professor, Department of Mathematics, the College of William and Mary. He received his PhD at Clemson University and has many publications and scholarly activities including twenty books and over one hundred and fifty journal articles. William C. Bauldry, Prof. Emeritus and Adjunct Research Prof. of Mathematics at Appalachian State University, received his PhD in Approximation Theory from Ohio State. He has published many papers on pedagogy and technology, often using Maple, and has been the PI of several NSF-funded projects incorporating technology and modeling into math courses. He currently serves as Associate Director of COMAP’s Math Contest in Modeling (MCM).

Scientific Computing - An Introduction using Maple and MATLAB

Author : Walter Gander
Publisher : Springer Science & Business
ISBN 13 : 3319043250
Total Pages : 926 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Scientific Computing - An Introduction using Maple and MATLAB by : Walter Gander

Download or read book Scientific Computing - An Introduction using Maple and MATLAB written by Walter Gander and published by Springer Science & Business. This book was released on 2014-04-23 with total page 926 pages. Available in PDF, EPUB and Kindle. Book excerpt: Scientific computing is the study of how to use computers effectively to solve problems that arise from the mathematical modeling of phenomena in science and engineering. It is based on mathematics, numerical and symbolic/algebraic computations and visualization. This book serves as an introduction to both the theory and practice of scientific computing, with each chapter presenting the basic algorithms that serve as the workhorses of many scientific codes; we explain both the theory behind these algorithms and how they must be implemented in order to work reliably in finite-precision arithmetic. The book includes many programs written in Matlab and Maple – Maple is often used to derive numerical algorithms, whereas Matlab is used to implement them. The theory is developed in such a way that students can learn by themselves as they work through the text. Each chapter contains numerous examples and problems to help readers understand the material “hands-on”.

Perspectives in Dynamical Systems II — Numerical and Analytical Approaches

Author : Jan Awrejcewicz
Publisher : Springer Nature
ISBN 13 : 3031564960
Total Pages : 800 pages
Book Rating : 4.0/5 (315 download)

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Book Synopsis Perspectives in Dynamical Systems II — Numerical and Analytical Approaches by : Jan Awrejcewicz

Download or read book Perspectives in Dynamical Systems II — Numerical and Analytical Approaches written by Jan Awrejcewicz and published by Springer Nature. This book was released on with total page 800 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Game Theory

Author : E. N. Barron
Publisher : John Wiley & Sons
ISBN 13 : 1118030656
Total Pages : 437 pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis Game Theory by : E. N. Barron

Download or read book Game Theory written by E. N. Barron and published by John Wiley & Sons. This book was released on 2011-02-14 with total page 437 pages. Available in PDF, EPUB and Kindle. Book excerpt: A fundamental introduction to modern game theory from a mathematical viewpoint Game theory arises in almost every fact of human and inhuman interaction since oftentimes during these communications objectives are opposed or cooperation is viewed as an option. From economics and finance to biology and computer science, researchers and practitioners are often put in complex decision-making scenarios, whether they are interacting with each other or working with evolving technology and artificial intelligence. Acknowledging the role of mathematics in making logical and advantageous decisions, Game Theory: An Introduction uses modern software applications to create, analyze, and implement effective decision-making models. While most books on modern game theory are either too abstract or too applied, this book provides a balanced treatment of the subject that is both conceptual and hands-on. Game Theory introduces readers to the basic theories behind games and presents real-world examples from various fields of study such as economics, political science, military science, finance, biological science as well as general game playing. A unique feature of this book is the use of Maple to find the values and strategies of games, and in addition, it aids in the implementation of algorithms for the solution or visualization of game concepts. Maple is also utilized to facilitate a visual learning environment of game theory and acts as the primary tool for the calculation of complex non-cooperative and cooperative games. Important game theory topics are presented within the following five main areas of coverage: Two-person zero sum matrix games Nonzero sum games and the reduction to nonlinear programming Cooperative games, including discussion of both the Nucleolus concept and the Shapley value Bargaining, including threat strategies Evolutionary stable strategies and population games Although some mathematical competence is assumed, appendices are provided to act as a refresher of the basic concepts of linear algebra, probability, and statistics. Exercises are included at the end of each section along with algorithms for the solution of the games to help readers master the presented information. Also, explicit Maple and Mathematica® commands are included in the book and are available as worksheets via the book's related Web site. The use of this software allows readers to solve many more advanced and interesting games without spending time on the theory of linear and nonlinear programming or performing other complex calculations. With extensive examples illustrating game theory's wide range of relevance, this classroom-tested book is ideal for game theory courses in mathematics, engineering, operations research, computer science, and economics at the upper-undergraduate level. It is also an ideal companion for anyone who is interested in the applications of game theory.