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Dynamical Systems And Differential Geometry Via Maple

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Dynamical Systems And Differential Geometry Via Maple

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Author : Constantin Udriste
language : en
Publisher: Cambridge Scholars Publishing
Release Date : 2021-10-01

Dynamical Systems And Differential Geometry Via Maple written by Constantin Udriste and has been published by Cambridge Scholars Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-10-01 with Mathematics categories.

The area of dynamical systems and differential geometry via MAPLE is a field which has become exceedingly technical in recent years. In the field, everything is structured for the benefit of optimizing evolutionary geometric aspects that describe significant physical or engineering phenomena. This book is structured in terms of the importance, accessibility and impact of theoretical notions capable of shaping a future mathematician-computer scientist possessing knowledge of evolutionary dynamical systems. It provides a self-contained and accessible introduction for graduate and advanced undergraduate students in mathematics, engineering, physics, and economic sciences. This book is suitable for both self-study for students and professors with a background in differential geometry and for teaching a semester-long introductory graduate course in dynamical systems and differential geometry via MAPLE.

Dynamical Systems And Differential Geometry Via Maple

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Author : Constantin Udriste
language : en
Publisher:
Release Date : 2021-10

Dynamical Systems And Differential Geometry Via Maple written by Constantin Udriste and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-10 with categories.

Differential Dynamical Systems Revised Edition

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Author : James D. Meiss
language : en
Publisher: SIAM
Release Date : 2017-01-24

Differential Dynamical Systems Revised Edition written by James D. Meiss and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-01-24 with Mathematics categories.

Variational Calculus With Engineering Applications

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Author : Constantin Udriste
language : en
Publisher: John Wiley & Sons
Release Date : 2022-10-24

Variational Calculus With Engineering Applications written by Constantin Udriste and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-10-24 with Mathematics categories.

VARIATIONAL CALCULUS WITH ENGINEERING APPLICATIONS A comprehensive overview of foundational variational methods for problems in engineering Variational calculus is a field in which small alterations in functions and functionals are used to find their relevant maxima and minima. It is a potent tool for addressing a range of dynamic problems with otherwise counter-intuitive solutions, particularly ones incorporating multiple confounding variables. Its value in engineering fields, where materials and geometric configurations can produce highly specific problems with unconventional or unintuitive solutions, is considerable. Variational Calculus with Engineering Applications provides a comprehensive survey of this toolkit and its engineering applications. Balancing theory and practice, it offers a thorough and accessible introduction to the field pioneered by Euler, Lagrange and Hamilton, offering tools that can be every bit as powerful as the better-known Newtonian mechanics. It is an indispensable resource for those looking for engineering-oriented overview of a subject whose capacity to provide engineering solutions is only increasing. Variational Calculus with Engineering Applications readers will also find: Discussion of subjects including variational principles, levitation, geometric dynamics, and more Examples and instructional problems in every chapter, along with MAPLE codes for performing the simulations described in each Engineering applications based on simple, curvilinear, and multiple integral functionals Variational Calculus with Engineering Applications is ideal for advanced students, researchers, and instructors in engineering and materials science.

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.

Robust Nonlinear Control Of Industrial Evaporation Systems Implementation Of Differential Geometric Techniques

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Author : Miro Kraetzl
language : en
Publisher: World Scientific Publishing Company
Release Date : 1999-02-01

Robust Nonlinear Control Of Industrial Evaporation Systems Implementation Of Differential Geometric Techniques written by Miro Kraetzl and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-02-01 with Technology & Engineering categories.

Nonlinearities exist in all process control systems. The use of linear control techniques is valid only in a narrow region of operation. Nonlinear control is central to future industrial development. In this book, multivariable nonlinear control techniques based on differential geometry are considered in a pragmatic manner. The book provides a simplified and systematic approach to geometric nonlinear control theory. A case study of an industrial evaporator is used as an example throughout the entire book. Various other examples are also used throughout the text to illustrate the theory. The book successfully demonstrates the superiority and simplicity of the class of controllers studied through simulations and actual plant implementations. The simulations were done using the symbolic computation package MAPLE. Discussions are given on the application of symbolic computation in process engineering.This book is aimed at industrial practitioners and postgraduates in engineering, and will be particularly valuable to practicing engineers who find the theory books on control somewhat heavy going. The insights provided in the book will encourage more industrial implementations of nonlinear controllers, and thereby help to bridge the widening gap between control theory and industrial practice.

Differential Dynamical Systems

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Author : James D. Meiss
language : en
Publisher: SIAM
Release Date : 2007-01-01

Differential Dynamical Systems written by James D. Meiss and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-01-01 with Mathematics categories.

Differential equations are the basis for models of any physical systems that exhibit smooth change. This book combines much of the material found in a traditional course on ordinary differential equations with an introduction to the more modern theory of dynamical systems. Applications of this theory to physics, biology, chemistry, and engineering are shown through examples in such areas as population modeling, fluid dynamics, electronics, and mechanics.Differential Dynamical Systems begins with coverage of linear systems, including matrix algebra; the focus then shifts to foundational material on nonlinear differential equations, making heavy use of the contraction-mapping theorem. Subsequent chapters deal specifically with dynamical systems conceptsflow, stability, invariant manifolds, the phase plane, bifurcation, chaos, and Hamiltonian dynamics. Throughout the book, the author includes exercises to help students develop an analytical and geometrical understanding of dynamics. Many of the exercises and examples are based on applications and some involve computation; an appendix offers simple codes written in Maple, Mathematica, and MATLAB software to give students practice with computation applied to dynamical systems problems. Audience This textbook is intended for senior undergraduates and first-year graduate students in pure and applied mathematics, engineering, and the physical sciences. Readers should be comfortable with elementary differential equations and linear algebra and should have had exposure to advanced calculus. Contents List of Figures; Preface; Acknowledgments; Chapter 1: Introduction; Chapter 2: Linear Systems; Chapter 3: Existence and Uniqueness; Chapter 4: Dynamical Systems; Chapter 5: Invariant Manifolds; Chapter 6: The Phase Plane; Chapter 7: Chaotic Dynamics; Chapter 8: Bifurcation Theory; Chapter 9: Hamiltonian Dynamics; Appendix: Mathematical Software; Bibliography; Index

Mathematical Methods For Physics

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Author : J. R. Claycomb
language : en
Publisher: Stylus Publishing, LLC
Release Date : 2018-03-20

Mathematical Methods For Physics written by J. R. Claycomb and has been published by Stylus Publishing, LLC this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-03-20 with Science categories.

This book may be used by students and professionals in physics and engineering that have completed first-year calculus and physics. An introductory chapter reviews algebra, trigonometry, units and complex numbers that are frequently used in physics. Examples using MATLAB and Maple for symbolic and numerical calculations in physics with a variety of plotting features are included in all 16 chapters. The book applies many of mathematical concepts covered in Chapters 1-9 to fundamental physics topics in mechanics, electromagnetics; quantum mechanics and relativity in Chapters 10-16. Companion files are included with MATLAB and Maple worksheets and files, and all of the figures from the text. Features: • Each chapter includes the mathematical development of the concept with numerous examples • MATLAB & Maple examples are integrated in each chapter throughout the book • Applies the mathematical concepts to fundamental physics principles such as relativity, mechanics, electromagnetics, etc. • Introduces basic MATLAB and Maple commands and programming structures • Includes companion files with MATLAB and Maple files and worksheets, and all of the figures from the text

Quantum Mechanics Using Maple

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Author : Marko Horbatsch
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Quantum Mechanics Using Maple written by Marko Horbatsch 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 Science categories.

Quantum Mechanics Using Maple permits the study of quantum mechanics in a novel, interactive way using the computer algebra and graphics system Maple V. Usually the physics student is distracted from understanding the concepts of modern physics by the need to master unfamiliar mathematics at the same time. In 39 guided Maple sessions the reader explores many standard quantum mechanics problems, as well as some advanced topics that introduce approximation techniques. A solid knowledge of Maple V is acquired as it applies to advanced mathematics relevant for engineering, physics, and applied mathematics. The diskette contains 39 Maple V for Windows worksheet files to reproduce all the problems presented in the text. The suggested exercises can be performed with a minimum of typing.

Dynamical Systems With Applications Using Mapletm

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Author : Stephen Lynch
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-12-23

Dynamical Systems With Applications Using Mapletm 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 2009-12-23 with Mathematics categories.

Excellent reviews of the first edition (Mathematical Reviews, SIAM, Reviews, UK Nonlinear News, The Maple Reporter) 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 Wide variety of topics covered with applications to many fields, including mechanical systems, chemical kinetics, economics, population dynamics, nonlinear optics, and materials science Accessible to a broad, interdisciplinary audience of readers with a general mathematical background, including senior undergraduates, graduate students, and working scientists in various branches of applied mathematics, the natural sciences, and engineering A hands-on approach is used with 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 with additional applications and further links of interest at Maplesoft’s Application Center

Dynamical Systems And Differential Geometry Via Maple

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