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Discrete Dynamical Systems and Difference Equations with Mathematica, Kulenovic, Mustafa R.S. , Merino, Orlando


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Автор: Kulenovic, Mustafa R.S. , Merino, Orlando
Название:  Discrete Dynamical Systems and Difference Equations with Mathematica
ISBN: 9780367396305
Издательство: Taylor&Francis
Классификация:


ISBN-10: 0367396300
Обложка/Формат: Paperback
Страницы: 364
Вес: 0.67 кг.
Дата издания: 27.09.2019
Язык: English
Размер: 234 x 152 x 20
Читательская аудитория: Tertiary education (us: college)
Основная тема: Applied Mathematics
Ссылка на Издательство: Link
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Поставляется из: Европейский союз
Описание:

Following the work of Yorke and Li in 1975, the theory of discrete dynamical systems and difference equations developed rapidly. The applications of difference equations also grew rapidly, especially with the introduction of graphical-interface software that can plot trajectories, calculate Lyapunov exponents, plot bifurcation diagrams, and find basins of attraction.

Modern computer algebra systems have opened the door to the use of symbolic calculation for studying difference equations. This book offers an introduction to discrete dynamical systems and difference equations and presents the Dynamica software. Developed by the authors and based on Mathematica, Dynamica provides an easy-to-use collection of algebraic, numerical, and graphical tools and techniques that allow users to quickly gain the ability to:

  • Find and classify the stability character of equilibrium and periodic points
  • Perform semicycle analysis of solutions
  • Calculate and visualize invariants
  • Calculate and visualize Lyapunov functions and numbers
  • Plot bifurcation diagrams
  • Visualize stable and unstable manifolds
  • Calculate Box Dimension

    While it presents the essential theoretical concepts and results, the books emphasis is on using the software. The authors present two sets of Dynamica sessions: one that serves as a tutorial of the different techniques, the other features case studies of well-known difference equations. Dynamica and notebooks corresponding to particular chapters are available for download from the Internet.



  • Solving Nonlinear Partial Differential Equations with Maple and Mathematica

    Автор: Shingareva
    Название: Solving Nonlinear Partial Differential Equations with Maple and Mathematica
    ISBN: 3709105161 ISBN-13(EAN): 9783709105160
    Издательство: Springer
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    Цена: 102480.00 T
    Наличие на складе: Есть у поставщика Поставка под заказ.
    Описание: 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.

    Solving Nonlinear Partial Differential Equations with Maple and Mathematica

    Автор: Inna Shingareva; Carlos Liz?rraga-Celaya
    Название: Solving Nonlinear Partial Differential Equations with Maple and Mathematica
    ISBN: 3709117216 ISBN-13(EAN): 9783709117217
    Издательство: Springer
    Рейтинг:
    Цена: 102480.00 T
    Наличие на складе: Есть у поставщика Поставка под заказ.
    Описание: This volume shows how to construct solutions of numerous nonlinear PDEs quickly and easily. The text discusses comparisons and relationships between the varying solutions, methods and approaches.

    First Course In Integral Equations, A (Second Edition)

    Автор: Wazwaz Abdul-Majid
    Название: First Course In Integral Equations, A (Second Edition)
    ISBN: 9814675121 ISBN-13(EAN): 9789814675123
    Издательство: World Scientific Publishing
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    Цена: 42240.00 T
    Наличие на складе: Есть у поставщика Поставка под заказ.
    Описание: This second edition integrates the newly developed methods with classical techniques to give both modern and powerful approaches for solving integral equations.

    The Mathematica GuideBook for Symbolics

    Автор: Michael Trott
    Название: The Mathematica GuideBook for Symbolics
    ISBN: 1493979140 ISBN-13(EAN): 9781493979141
    Издательство: Springer
    Рейтинг:
    Цена: 102480.00 T
    Наличие на складе: Поставка под заказ.
    Описание:

    Mathematica is today's most advanced technical computing system. It features a rich programming environment, two-and three-dimensional graphics capabilities and hundreds of sophisticated, powerful programming and mathematical functions using state-of-the-art algorithms. Combined with a user-friendly interface, and a complete mathematical typesetting system, Mathematica offers an intuitive easy-to-handle environment of great power and utility.

    The Mathematica GuideBook for Symbolics (code and text fully tailored for Mathematica 5.1) deals with Mathematica's symbolic mathematical capabilities. Structural and mathematical operations on single and systems of polynomials are fundamental to many symbolic calculations and they are covered in considerable detail. The solution of equations and differential equations, as well as the classical calculus operations (differentiation, integration, summation, series expansion, limits) are exhaustively treated. Generalized functions and their uses are discussed. In addition, this volume discusses and employs the classical orthogonal polynomials and special functions of mathematical physics. To demonstrate the symbolic mathematics power, a large variety of problems from mathematics and phyics are discussed.

    Unique Features: Familiarizes the reader with symbolic mathematics functions in Mathematica for algebra, analysis, as well as orthogonal polynomials and the special functions of mathematical physics and shows how to use them effectively

    Detailed discussions of the most frequent symbolic operations: equation solving, differentiation, series expansion, integration and organizing and performing symbolic calculations in mathematica, as compared to paper-and-pencil calculations

    Numerous examples from mathematics, physics, and computer science

    Clear organization, complete topic coverage, and accessible exposition for both novices and experts

    Website for book with additional materials and updates: http: //www.MathematicaGuideBooks.org

    Accompanying DVD contains all material in the form of hyperlinked Mathematica notebooks that can be edited and manipulated; striking color graphics and animations are included on the DVD

    Michael Trott is a symbolic computation and computer graphics expert. He holds a Ph.D. in theoretical physics and joined the R&D team at Wolfram Research in 1994, the creators of Mathematica. Since 1998, he has been leading the development of the Wolfram Functions Site http: //functions.wolfram.com, which features more that 10,000 visualizations and 85,000 formulas and identities, and also allows for semantical searches.


    Elements Of Numerical Analysis With Mathematica

    Автор: Loustau John
    Название: Elements Of Numerical Analysis With Mathematica
    ISBN: 9813224150 ISBN-13(EAN): 9789813224155
    Издательство: World Scientific Publishing
    Рейтинг:
    Цена: 63360.00 T
    Наличие на складе: Есть у поставщика Поставка под заказ.
    Описание:

    Here we present numerical analysis to advanced undergraduate and master degree level grad students. This is to be done in one semester. The programming language is Mathematica. The mathematical foundation and technique is included. The emphasis is geared toward the two major developing areas of applied mathematics, mathematical finance and mathematical biology.


    Elements Of Numerical Analysis With Mathematica

    Автор: Loustau John
    Название: Elements Of Numerical Analysis With Mathematica
    ISBN: 9813222719 ISBN-13(EAN): 9789813222717
    Издательство: World Scientific Publishing
    Рейтинг:
    Цена: 29570.00 T
    Наличие на складе: Есть у поставщика Поставка под заказ.
    Описание:

    Here we present numerical analysis to advanced undergraduate and master degree level grad students. This is to be done in one semester. The programming language is Mathematica. The mathematical foundation and technique is included. The emphasis is geared toward the two major developing areas of applied mathematics, mathematical finance and mathematical biology.


    The Student`s Introduction to Mathematica and the Wolfram Language

    Автор: Bruce F. Torrence, Eve A. Torrence
    Название: The Student`s Introduction to Mathematica and the Wolfram Language
    ISBN: 110840636X ISBN-13(EAN): 9781108406369
    Издательство: Cambridge Academ
    Рейтинг:
    Цена: 51750.00 T
    Наличие на складе: Есть у поставщика Поставка под заказ.
    Описание: This book introduces Mathematica (R) and the Wolfram Language (TM) in the context of the standard university mathematics curriculum. It equips current and former students to harness these tools to explore ideas from pre-calculus, calculus, and linear algebra. Additional chapters on programming and 3D printing provide outlets for further exploration.

    Partial differential equations and boundary value problems with Mathematica /

    Автор: Kythe, Prem K.
    Название: Partial differential equations and boundary value problems with Mathematica /
    ISBN: 1584883146 ISBN-13(EAN): 9781584883142
    Издательство: Taylor&Francis
    Рейтинг:
    Цена: 148010.00 T
    Наличие на складе: Есть у поставщика Поставка под заказ.
    Описание: Incorporates the fourth version of the software package Mathematica (4.x). This title includes a section of Mathematica projects in each chapter, a chapter on Green`s functions, a chapter on boundary value problems, and material on inverse operators, Legendre functions, and Bessel functions.

    Analysis with Mathematica®: Volume 1: Single Variable Calculus

    Автор: Galina Filipuk, Andrzej Kozlowski
    Название: Analysis with Mathematica®: Volume 1: Single Variable Calculus
    ISBN: 3110590131 ISBN-13(EAN): 9783110590135
    Издательство: Walter de Gruyter
    Цена: 74320.00 T
    Наличие на складе: Есть у поставщика Поставка под заказ.
    Описание: A computer algebra system such as Mathematica is able to do much more than just numerics: This text shows how to tackle real mathematical problems from basic analysis. The reader learns how Mathematica represents domains, qualifiers and limits to implement actual proofs – a requirement to unlock the huge potential of Mathematica for a variety of applications.

    Topological Dynamical Systems: An Introduction to the Dynamics of Continuous Mappings

    Автор: Jan Vries
    Название: Topological Dynamical Systems: An Introduction to the Dynamics of Continuous Mappings
    ISBN: 3110340739 ISBN-13(EAN): 9783110340730
    Издательство: Walter de Gruyter
    Цена: 148700.00 T
    Наличие на складе: Есть у поставщика Поставка под заказ.
    Описание: There is no recent elementary introduction to the theory of discrete dynamical systems that stresses the topological background of the topic. This book fills this gap: it deals with this theory as 'applied general topology'. We treat all important concepts needed to understand recent literature. The book is addressed primarily to graduate students. The prerequisites for understanding this book are modest: a certain mathematical maturity and course in General Topology are sufficient.

    Positive Dynamical Systems in Discrete Time: Theory, Models, and Applications

    Автор: Ulrich Krause
    Название: Positive Dynamical Systems in Discrete Time: Theory, Models, and Applications
    ISBN: 3110369753 ISBN-13(EAN): 9783110369755
    Издательство: Walter de Gruyter
    Цена: 161100.00 T
    Наличие на складе: Есть у поставщика Поставка под заказ.
    Описание: This book provides a systematic, rigorous and self-contained treatment of positive dynamical systems. A dynamical system is positive when all relevant variables of a system are nonnegative in a natural way. This is in biology, demography or economics, where the levels of populations or prices of goods are positive. The principle also finds application in electrical engineering, physics and computer sciences. "The author has greatly expanded the field of positive systems in surprising ways." - Prof. Dr. David G. Luenberger, Stanford University(USA)

    Introduction to Ordinary Differential Equations with Mathematica

    Автор: Alfred Gray; Michael Mezzino; Mark A. Pinsky
    Название: Introduction to Ordinary Differential Equations with Mathematica
    ISBN: 1461274699 ISBN-13(EAN): 9781461274698
    Издательство: Springer
    Рейтинг:
    Цена: 79190.00 T
    Наличие на складе: Есть у поставщика Поставка под заказ.
    Описание: The CD-ROM contains the Mathematica solution of worked examples, a selection of various Mathematica notebooks, Mathematica movies and sample labs for students. Mathematica programs and additional problem/example files will be available online through the TELOS Web site and the authors dedicated web site.


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