Ordinary Differential Equations And Applications Ii With Maple Illustrations
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Ordinary Differential Equations And Applications Ii With Maple Illustrations
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Author : Benjamin Oyediran Oyelami
language : en
Publisher: Bentham Science Publishers
Release Date : 2024-12-19
Ordinary Differential Equations And Applications Ii With Maple Illustrations written by Benjamin Oyediran Oyelami and has been published by Bentham Science Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-12-19 with Mathematics categories.
Ordinary Differential Equations and Applications II: With Maple Illustrations integrates fundamental theories of Ordinary Differential Equations (ODEs) with practical applications and Maple-based solutions. This comprehensive textbook covers vector-valued differential equations, matrix solutions, stability methods, and periodic systems. Using Maple and MapleSim software, readers learn symbolic solutions, plotting techniques, 2D/3D animation for ODE problems, and simulations for engineering systems. This book is ideal for undergraduate and postgraduate students in mathematics, physics, economics, and engineering, as well as researchers and professionals needing advanced applications of ODEs. Key Features: - Comprehensive introduction to ODE concepts and real-life applications - Solutions for initial value problems using Maple and MapleSim software - Analysis of stability using Routh-Hurwitz and Lyapunov methods - Models of neural firing, avian influenza, and biological populations - Practical guidance on MapleSim for multi-domain simulations, code generation, and Monte Carlo simulation
Differential Equations Theory And Applications
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Author : David Betounes
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
Differential Equations Theory And Applications written by David Betounes 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 2013-06-29 with Mathematics categories.
This book was written as a comprehensive introduction to the theory of ordinary differential equations with a focus on mechanics and dynamical systems as time-honored and important applications of this theory. His torically, these were the applications that spurred the development of the mathematical theory and in hindsight they are still the best applications for illustrating the concepts, ideas, and impact of the theory. While the book is intended for traditional graduate students in mathe matics, the material is organized so that the book can also be used in a wider setting within today's modern university and society (see "Ways to Use the Book" below). In particular, it is hoped that interdisciplinary programs with courses that combine students in mathematics, physics, engineering, and other sciences can benefit from using this text. Working professionals in any of these fields should be able to profit too by study of this text. An important, but optional component of the book (based on the in structor's or reader's preferences) is its computer material. The book is one of the few graduate differential equations texts that use the computer to enhance the concepts and theory normally taught to first- and second-year graduate students in mathematics. I have made every attempt to blend to gether the traditional theoretical material on differential equations and the new, exciting techniques afforded by computer algebra systems (CAS), like Maple, Mathematica, or Matlab.
From Elementary Probability To Stochastic Differential Equations With Maple
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Author : Sasha Cyganowski
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
From Elementary Probability To Stochastic Differential Equations With Maple written by Sasha Cyganowski 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.
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.
Ordinary Differential Equations And Applications I With Maple Examples
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Author :
language : en
Publisher: Bentham Science Publishers
Release Date : 2024-12-10
Ordinary Differential Equations And Applications I With Maple Examples written by and has been published by Bentham Science Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-12-10 with Mathematics categories.
Ordinary Differential Equations and Applications I: with Maple Examples blends the theory and practical applications of Ordinary Differential Equations (ODEs) with real-world examples, using Maple and MapleSim software. It covers fundamental ODE concepts, from first-order equations to more advanced topics like the Laplace and Mellin transforms, Fourier series, and power series solutions. The book includes detailed Maple examples demonstrating symbolic solutions, 2D and 3D plotting, and animated solution paths. Designed for undergraduate and postgraduate students in mathematics, physics, engineering, and other fields, it is also a valuable resource for professionals. The book addresses various applications in biology, economics, chemistry, and medicine. Key Features: - In-depth coverage of ODEs with real-world applications. - Maple examples for symbolic solutions, plotting, and animations. - Exploration of Laplace, Mellin, and Fourier series methods.
Dynamical Systems With Applications Using Maple
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Author : Stephen Lynch
language : en
Publisher: Springer Science & Business Media
Release Date : 2001
Dynamical Systems With Applications Using Maple written by Stephen Lynch 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 2001 with Computers categories.
"The text treats a remarkable spectrum of topics and has a little for everyone. It can serve as an introduction to many of the topics of dynamical systems, and will help even the most jaded reader, such as this reviewer, enjoy some of the interactive aspects of studying dynamics using Maple." --UK Nonlinear News (Review of First Edition) "The book will be useful for all kinds of dynamical systems courses.... [It] shows the power of using a computer algebra program to study dynamical systems, and, by giving so many worked examples, provides ample opportunity for experiments. ... [It] is well written and a pleasure to read, which is helped by its attention to historical background." --Mathematical Reviews (Review of First Edition) Since the first edition of this book was published in 2001, MapleTM has evolved from Maple V into Maple 13. Accordingly, this new edition has been thoroughly updated and expanded to include more applications, examples, and exercises, all with solutions; two new chapters on neural networks and simulation have also been added. There are also new sections on perturbation methods, normal forms, Gröbner bases, and chaos synchronization. The work provides an introduction to the theory of dynamical systems with the aid of Maple. The author has emphasized breadth of coverage rather than fine detail, and theorems with proof are kept to a minimum. Some of the topics treated are scarcely covered elsewhere. Common themes such as bifurcation, bistability, chaos, instability, multistability, and periodicity run through several chapters. The book has a hands-on approach, using Maple as a pedagogical tool throughout. Maple worksheet files are listed at the end of each chapter, and along with commands, programs, and output may be viewed in color at the author's website. Additional applications and further links of interest may be found at Maplesoft's Application Center. Dynamical Systems with Applications using Maple is aimed at senior undergraduates, graduate students, and working scientists in various branches of applied mathematics, the natural sciences, and engineering. ISBN 978-0-8176-4389-8 § Also by the author: Dynamical Systems with Applications using MATLAB®, ISBN 978-0-8176-4321-8 Dynamical Systems with Applications using Mathematica®, ISBN 978-0-8176-4482-6.
Ordinary And Partial Differential Equation Routines In C C Fortran Java Maple And Matlab
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Author : H.J. Lee
language : en
Publisher: CRC Press
Release Date : 2003-11-24
Ordinary And Partial Differential Equation Routines In C C Fortran Java Maple And Matlab written by H.J. Lee and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-11-24 with Mathematics categories.
This book provides a set of ODE/PDE integration routines in the six most widely used computer languages, enabling scientists and engineers to apply ODE/PDE analysis toward solving complex problems. This text concisely reviews integration algorithms, then analyzes the widely used Runge-Kutta method. It first presents a complete code before discussin
Algebraic And Symbolic Computation Methods In Dynamical Systems
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Author : Alban Quadrat
language : en
Publisher: Springer Nature
Release Date : 2020-05-30
Algebraic And Symbolic Computation Methods In Dynamical Systems written by Alban Quadrat and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-05-30 with Science categories.
This book aims at reviewing recent progress in the direction of algebraic and symbolic computation methods for functional systems, e.g. ODE systems, differential time-delay equations, difference equations and integro-differential equations. In the nineties, modern algebraic theories were introduced in mathematical systems theory and in control theory. Combined with real algebraic geometry, which was previously introduced in control theory, the past years have seen a flourishing development of algebraic methods in control theory. One of the strengths of algebraic methods lies in their close connections to computations. The use of the above-mentioned algebraic theories in control theory has been an important source of motivation to develop effective versions of these theories (when possible). With the development of computer algebra and computer algebra systems, symbolic methods for control theory have been developed over the past years. The goal of this book is to propose a partial state of the art in this direction. To make recent results more easily accessible to a large audience, the chapters include materials which survey the main mathematical methods and results and which are illustrated with explicit examples.
Maple
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Author : Bernard V Liengme
language : en
Publisher: Morgan & Claypool Publishers
Release Date : 2019-06-04
Maple written by Bernard V Liengme and has been published by Morgan & Claypool Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-06-04 with Science categories.
Maple is a comprehensive symbolic mathematics application which is well suited for demonstrating physical science topics and solving associated problems. Because Maple is such a rich application, it has a somewhat steep learning curve. Most existing texts concentrate on mathematics; the Maple help facility is too detailed and lacks physical science examples, many Maple-related websites are out of date giving readers information on older Maple versions. This book records the author's journey of discovery; he was familiar with SMath but not with Maple and set out to learn the more advanced application. It leads readers through the basic Maple features with physical science worked examples, giving them a firm base on which to build if more complex features interest them.
Simulation Of Ode Pde Models With Matlab Octave And Scilab
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Author : Alain Vande Wouwer
language : en
Publisher: Springer
Release Date : 2014-06-07
Simulation Of Ode Pde Models With Matlab Octave And Scilab written by Alain Vande Wouwer and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-06-07 with Technology & Engineering categories.
Simulation of ODE/PDE Models with MATLAB®, OCTAVE and SCILAB shows the reader how to exploit a fuller array of numerical methods for the analysis of complex scientific and engineering systems than is conventionally employed. The book is dedicated to numerical simulation of distributed parameter systems described by mixed systems of algebraic equations, ordinary differential equations (ODEs) and partial differential equations (PDEs). Special attention is paid to the numerical method of lines (MOL), a popular approach to the solution of time-dependent PDEs, which proceeds in two basic steps: spatial discretization and time integration. Besides conventional finite-difference and element techniques, more advanced spatial-approximation methods are examined in some detail, including nonoscillatory schemes and adaptive-grid approaches. A MOL toolbox has been developed within MATLAB®/OCTAVE/SCILAB. In addition to a set of spatial approximations and time integrators, this toolbox includes a collection of application examples, in specific areas, which can serve as templates for developing new programs. Simulation of ODE/PDE Models with MATLAB®, OCTAVE and SCILAB provides a practical introduction to some advanced computational techniques for dynamic system simulation, supported by many worked examples in the text, and a collection of codes available for download from the book’s page at www.springer.com. This text is suitable for self-study by practicing scientists and engineers and as a final-year undergraduate course or at the graduate level.
Differential Equations For Engineers
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Author : Wei-Chau Xie
language : en
Publisher: Cambridge University Press
Release Date : 2010-04-26
Differential Equations For Engineers written by Wei-Chau Xie and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-04-26 with Technology & Engineering categories.
Xie presents a systematic introduction to ordinary differential equations for engineering students and practitioners. Mathematical concepts and various techniques are presented in a clear, logical, and concise manner. Various visual features are used to highlight focus areas. Complete illustrative diagrams are used to facilitate mathematical modeling of application problems. Readers are motivated by a focus on the relevance of differential equations through their applications in various engineering disciplines. Studies of various types of differential equations are determined by engineering applications. Theory and techniques for solving differential equations are then applied to solve practical engineering problems. A step-by-step analysis is presented to model the engineering problems using differential equations from physical principles and to solve the differential equations using the easiest possible method. This book is suitable for undergraduate students in engineering.