Calculus Explorations Using Maple
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The Mathematics Of Soap Films Explorations With Maple
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Author : John Oprea
language : en
Publisher: American Mathematical Soc.
Release Date : 2000
The Mathematics Of Soap Films Explorations With Maple written by John Oprea and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Computers categories.
Nature tries to minimize the surface area of a soap film through the action of surface tension. The process can be understood mathematically by using differential geometry, complex analysis, and the calculus of variations. This book employs ingredients from each of these subjects to tell the mathematical story of soap films. The text is fully self-contained, bringing together a mixture of types of mathematics along with a bit of the physics that underlies the subject. The development is primarily from first principles, requiring no advanced background material from either mathematics or physics. Through the Maple applications, the reader is given tools for creating the shapes that are being studied. Thus, you can "see" a fluid rising up an inclined plane, create minimal surfaces from complex variables data, and investigate the "true" shape of a balloon. Oprea also includes descriptions of experiments and photographs that let you see real soap films on wire frames. The theory of minimal surfaces is a beautiful subject, which naturally introduces the reader to fascinating, yet accessible, topics in mathematics. Oprea's presentation is rich with examples, explanations, and applications. It would make an excellent text for a senior seminar or for independent study by upper-division mathematics or science majors.
Calculus Explorations Using Maple
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Author : Judson, Daniel
language : en
Publisher: Harcourt Brace College Publishers
Release Date : 1996
Calculus Explorations Using Maple written by Judson, Daniel and has been published by Harcourt Brace College Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Mathematics categories.
The Maple V Primer Release 4
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Author : Frank Garvan
language : en
Publisher: CRC Press
Release Date : 2021-02-27
The Maple V Primer Release 4 written by Frank Garvan and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-02-27 with Mathematics categories.
Learn how to use the modern techniques offered by Maple V, a powerful and popular computer algebra system. The Maple V Primer: Release 4 covers all the basic topics a reader needs to know to use Maple V in its major revision encompassed in Release 4 to do algebra and calculus, solve equations, graph 2- and 3-dimensional plots, perform simple programming tasks, and prepare mathematical documents. Every common command and function is supported by a specific example, so you won't waste time struggling with the syntax. Graphs, plots, and other Maple output are provided along with the syntax, so the user knows what to expect when she or he uses a particular command. And all the examples come with a short discussion, answering questions you might have about applying the example to your own work. This is a painless - even fun - way to learn how to use Maple V.
Experiments In Mathematics Using Maple
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Author : Christopher T.J. Dodson
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Experiments In Mathematics Using Maple written by Christopher T.J. Dodson and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
We believe that to understand and be comfortable with mathematical con cepts and methods, it is necessary to do mathematics and, traditionally, doing meant with a pencil and paper. Now, a modest home computer can provide a platform for a computer algebra package like Maple, which can perform all of the operations encountered in secondary school mathematics and beyond, and pro vide graphical representations of functions, including animations. The capability of rendering accurate graphics for mathematical functions greatly enhances the learning experience, and helps intuition work in new situations, before beginning to do the algebra and calculus needed to solve a problem. For example, if you can see that a function has a clear minimum from its graph, then you are more likely to be able to identify its location precisely by analysis. This book is designed to support the interactive Maple worksheets that we have developed for the two senior secondary school years and made available via the Internet at the anonymous ftp site ftp. ut irc. utoronto . ca (/pub/ednet/maths/maple). This takes you from basic algebra, functions and sequences, to calculus and its applications. Thus, the book is a hardcopy version of the worksheets, with additional explanatory text, cross-referencing, appen dices containing worked solutions to all exercises, and indexing.
Calculus
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Author : Arnold Ostebee
language : en
Publisher: Harcourt Brace College Publishers
Release Date : 1996
Calculus written by Arnold Ostebee and has been published by Harcourt Brace College Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Mathematics categories.
A First Course In The Calculus Of Variations
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Author : Mark Kot
language : en
Publisher: American Mathematical Society
Release Date : 2014-10-06
A First Course In The Calculus Of Variations written by Mark Kot and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-10-06 with Mathematics categories.
This book is intended for a first course in the calculus of variations, at the senior or beginning graduate level. The reader will learn methods for finding functions that maximize or minimize integrals. The text lays out important necessary and sufficient conditions for extrema in historical order, and it illustrates these conditions with numerous worked-out examples from mechanics, optics, geometry, and other fields. The exposition starts with simple integrals containing a single independent variable, a single dependent variable, and a single derivative, subject to weak variations, but steadily moves on to more advanced topics, including multivariate problems, constrained extrema, homogeneous problems, problems with variable endpoints, broken extremals, strong variations, and sufficiency conditions. Numerous line drawings clarify the mathematics. Each chapter ends with recommended readings that introduce the student to the relevant scientific literature and with exercises that consolidate understanding.
Explorations In Complex Analysis
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Author : Michael A. Brilleslyper
language : en
Publisher: American Mathematical Soc.
Release Date : 2012-12-31
Explorations In Complex Analysis written by Michael A. Brilleslyper and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-31 with Mathematics categories.
Research topics in the book include complex dynamics, minimal surfaces, fluid flows, harmonic, conformal, and polygonal mappings, and discrete complex analysis via circle packing. The nature of this book is different from many mathematics texts: the focus is on student-driven and technology-enhanced investigation. Interlaced in the reading for each chapter are examples, exercises, explorations, and projects, nearly all linked explicitly with computer applets for visualization and hands-on manipulation.
Calculus From Graphical Numerical And Symbolic Points Of View
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Author : Arnold Ostebee
language : en
Publisher: Harcourt Brace College Publishers
Release Date : 1997
Calculus From Graphical Numerical And Symbolic Points Of View written by Arnold Ostebee and has been published by Harcourt Brace College Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Mathematics categories.
Maple
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Author : Victor Aladjev
language : en
Publisher: Fultus Corporation
Release Date : 2006
Maple written by Victor Aladjev and has been published by Fultus Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Computers categories.
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.
Multivariable Calculus
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Author : Gerald L. Bradley
language : en
Publisher:
Release Date : 1995
Multivariable Calculus written by Gerald L. Bradley and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Mathematics categories.
Presents calculus development by integrating technology (with either graphing calculator or computer). The Computational Windows feature offers insights into how technological advances can be used to help understand calculus.