Difference Equations For Scientists And Engineering Interdisciplinary Difference Equations

Author : Michael A Radin
Publisher : World Scientific
Page : 330 pages
File Size : 53,6 Mb
Release : 2019-09-24
Category : Mathematics
ISBN : 9789811202988

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Difference Equations For Scientists And Engineering: Interdisciplinary Difference Equations by Michael A Radin Pdf

'Radlin has done a nice job in producing a textbook which provides a learner friendly introduction to difference equations. It would suit as a core text for a first year course in the topic, aimed, as the title suggests, at physical science or engineering undergraduates. The student who is prepared to work through the book will get a good grounding in basic techniques and gain a feel for the possible behaviours of standard equations. He will also be given some indication of the usefulness and potential complexity of discrete systems in modern science and engineering.'London Mathematical SocietyWe introduce interdisciplinary research and get students and the audience familiarized with the difference equations; solving them explicitly, determining the long-term behavior of solutions (convergence, boundedness and periodicity). We help to develop intuition in analyzing convergence of solutions in terms of subsequences and analyzing patterns of periodic cycles. Our book helps you learn applications in biology, economics and business, computer science and engineering.

Author : Saber Elaydi
Publisher : Springer Science & Business Media
Page : 547 pages
File Size : 51,7 Mb
Release : 2005-03-29
Category : Mathematics
ISBN : 9780387230597

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An Introduction to Difference Equations by Saber Elaydi Pdf

A must-read for mathematicians, scientists and engineers who want to understand difference equations and discrete dynamics Contains the most complete and comprehenive analysis of the stability of one-dimensional maps or first order difference equations. Has an extensive number of applications in a variety of fields from neural network to host-parasitoid systems. Includes chapters on continued fractions, orthogonal polynomials and asymptotics. Lucid and transparent writing style

Author : Walter G. Kelley,Allan C. Peterson
Publisher : Academic Press
Page : 418 pages
File Size : 51,5 Mb
Release : 2001
Category : Mathematics
ISBN : 012403330X

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Difference Equations by Walter G. Kelley,Allan C. Peterson Pdf

Difference Equations, Second Edition, presents a practical introduction to this important field of solutions for engineering and the physical sciences. Topic coverage includes numerical analysis, numerical methods, differential equations, combinatorics and discrete modeling. A hallmark of this revision is the diverse application to many subfields of mathematics. Phase plane analysis for systems of two linear equations Use of equations of variation to approximate solutions Fundamental matrices and Floquet theory for periodic systems LaSalle invariance theorem Additional applications: secant line method, Bison problem, juvenile-adult population model, probability theory Appendix on the use of Mathematica for analyzing difference equaitons Exponential generating functions Many new examples and exercises

Author : Ronald E. Mickens
Publisher : CRC Press
Page : 464 pages
File Size : 52,7 Mb
Release : 2022-02-17
Category : Mathematics
ISBN : 9781000109856

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Difference Equations, Second Edition by Ronald E. Mickens Pdf

In recent years, the study of difference equations has acquired a new significance, due in large part to their use in the formulation and analysis of discrete-time systems, the numerical integration of differential equations by finite-difference schemes, and the study of deterministic chaos. The second edition of Difference Equations: Theory and Applications provides a thorough listing of all major theorems along with proofs. The text treats the case of first-order difference equations in detail, using both analytical and geometrical methods. Both ordinary and partial difference equations are considered, along with a variety of special nonlinear forms for which exact solutions can be determined. Numerous worked examples and problems allow readers to fully understand the material in the text. They also give possible generalization of the theorems and application models. The text's expanded coverage of application helps readers appreciate the benefits of using difference equations in the modeling and analysis of "realistic" problems from a broad range of fields. The second edition presents, analyzes, and discusses a large number of applications from the mathematical, biological, physical, and social sciences. Discussions on perturbation methods and difference equation models of differential equation models of differential equations represent contributions by the author to the research literature. Reference to original literature show how the elementary models of the book can be extended to more realistic situations. Difference Equations, Second Edition gives readers a background in discrete mathematics that many workers in science-oriented industries need as part of their general scientific knowledge. With its minimal mathematical background requirements of general algebra and calculus, this unique volume will be used extensively by students and professional in science and technology, in areas such as applied mathematics, control theory, population science, economics, and electronic circuits, especially discrete signal processing.

Author : Bellman
Publisher : Academic Press
Page : 484 pages
File Size : 42,6 Mb
Release : 1963-01-01
Category : Mathematics
ISBN : 9780080955148

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Differential-Difference Equations by Bellman Pdf

Differential-Difference Equations

Author : SuiSun Cheng
Publisher : Routledge
Page : 380 pages
File Size : 53,5 Mb
Release : 2017-09-29
Category : Mathematics
ISBN : 9781351428811

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New Developments in Difference Equations and Applications by SuiSun Cheng Pdf

The late Professor Ming-Po Chen was instrumental in making the Third International Conference on Difference Equations a great success. Dedicated to his memory, these proceedings feature papers presented by many of the most prominent mathematicians in the field. It is a comprehensive collection of the latest developments in topics including stability theory, combinatorics, asymptotics, partial difference equations, as well as applications to biological, social, and natural sciences. This volume is an indispensable reference for academic and applied mathematicians, theoretical physicists, systems engineers, and computer and information scientists.

Author : James M. Hill
Publisher : CRC Press
Page : 232 pages
File Size : 40,6 Mb
Release : 1992-03-17
Category : Mathematics
ISBN : 0849344425

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Differential Equations and Group Methods for Scientists and Engineers by James M. Hill Pdf

Differential Equations and Group Methods for Scientists and Engineers presents a basic introduction to the technically complex area of invariant one-parameter Lie group methods and their use in solving differential equations. The book features discussions on ordinary differential equations (first, second, and higher order) in addition to partial differential equations (linear and nonlinear). Each chapter contains worked examples with several problems at the end; answers to these problems and hints on how to solve them are found at the back of the book. Students and professionals in mathematics, science, and engineering will find this book indispensable for developing a fundamental understanding of how to use invariant one-parameter group methods to solve differential equations.

Author : Wilbert J. Lick
Publisher : Springer Science & Business Media
Page : 296 pages
File Size : 47,5 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9783642837012

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Difference Equations from Differential Equations by Wilbert J. Lick Pdf

In computational mechanics, the first and quite often the most difficult part of a problem is the correct formulation of the problem. This is usually done in terms of differential equations. Once this formulation is accomplished, the translation of the governing differential equations into accurate, stable, and physically realistic difference equations can be a formidable task. By comparison, the numerical evaluation of these difference equations in order to obtain a solution is usually much simpler. The present notes are primarily concerned with the second task, that of deriving accurate, stable, and physically realistic difference equations from the governing differential equations. Procedures for the numerical evaluation of these difference equations are also presented. In later applications, the physical formulation of the problem and the properties of the numerical solution, especially as they are related to the numerical approximations inherent in the solution, are discussed. There are numerous ways to form difference equations from differential equations.

Author : R Mickens
Publisher : CRC Press
Page : 470 pages
File Size : 42,9 Mb
Release : 1991-01-01
Category : Mathematics
ISBN : 0442001363

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Difference Equations, Second Edition by R Mickens Pdf

In recent years, the study of difference equations has acquired a new significance, due in large part to their use in the formulation and analysis of discrete-time systems, the numerical integration of differential equations by finite-difference schemes, and the study of deterministic chaos. The second edition of Difference Equations: Theory and Applications provides a thorough listing of all major theorems along with proofs. The text treats the case of first-order difference equations in detail, using both analytical and geometrical methods. Both ordinary and partial difference equations are considered, along with a variety of special nonlinear forms for which exact solutions can be determined. Numerous worked examples and problems allow readers to fully understand the material in the text. They also give possible generalization of the theorems and application models. The text's expanded coverage of application helps readers appreciate the benefits of using difference equations in the modeling and analysis of "realistic" problems from a broad range of fields. The second edition presents, analyzes, and discusses a large number of applications from the mathematical, biological, physical, and social sciences. Discussions on perturbation methods and difference equation models of differential equation models of differential equations represent contributions by the author to the research literature. Reference to original literature show how the elementary models of the book can be extended to more realistic situations. Difference Equations, Second Edition gives readers a background in discrete mathematics that many workers in science-oriented industries need as part of their general scientific knowledge. With its minimal mathematical background requirements of general algebra and calculus, this unique volume will be used extensively by students and professional in science and technology, in areas such as applied mathematics, control theory, population science, economics, and electronic circuits, especially discrete signal processing.

Author : Anonim
Publisher : Unknown
Page : 128 pages
File Size : 42,8 Mb
Release : 2024-06-16
Category : Electronic
ISBN : 9789814479219

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Difference Equations and Discrete Dynamical Systems by Anonim Pdf

Author : Saber N. Elaydi
Publisher : Springer Science & Business Media
Page : 441 pages
File Size : 42,5 Mb
Release : 2013-03-14
Category : Mathematics
ISBN : 9781475731101

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An Introduction to Difference Equations by Saber N. Elaydi Pdf

Integrating both classical and modern treatments of difference equations, this book contains the most updated and comprehensive material on stability, Z-transform, discrete control theory, asymptotic theory, continued fractions and orthogonal polynomials. While the presentation is simple enough for use by advanced undergraduates and beginning graduates in mathematics, engineering science, and economics, it will also be a useful reference for scientists and engineers interested in discrete mathematical models. The text covers a large set of applications in a variety of disciplines, including neural networks, feedback control, Markov chains, trade models, heat transfer, propagation of plants, epidemic models and host-parasitoid systems, with each section rounded off by an extensive and highly selected set of exercises.

Author : Saber Elaydi
Publisher : Unknown
Page : 389 pages
File Size : 47,5 Mb
Release : 1996
Category : Difference equations
ISBN : 1475791704

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An Introduction to Difference Equations by Saber Elaydi Pdf

This book integrates both classical and modern treatments of difference equations. It contains the most updated and comprehensive material on stability, Z-transform, discrete control theory, and asymptotic methods. Yet the presentation is simple enough for the book to be used by advanced undergraduate and beginning graduate students in mathematics, engineering science, and economics. Moreover, scientists and engineers who are interested in discrete mathematical models will find it useful as a reference. The book contains a large set of applications in a variety of disciplines, including neural networks, feedback control, Markov chains, trade models, heat transfer, and propagation of plants. Each section of the book ends with an extensive and highly selected set of exercises.

Author : Tyn Myint-U,Lokenath Debnath
Publisher : Springer Science & Business Media
Page : 778 pages
File Size : 48,9 Mb
Release : 2007-04-05
Category : Mathematics
ISBN : 9780817645601

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Linear Partial Differential Equations for Scientists and Engineers by Tyn Myint-U,Lokenath Debnath Pdf

This significantly expanded fourth edition is designed as an introduction to the theory and applications of linear PDEs. The authors provide fundamental concepts, underlying principles, a wide range of applications, and various methods of solutions to PDEs. In addition to essential standard material on the subject, the book contains new material that is not usually covered in similar texts and reference books. It also contains a large number of worked examples and exercises dealing with problems in fluid mechanics, gas dynamics, optics, plasma physics, elasticity, biology, and chemistry; solutions are provided.

Author : Dumitru Baleanu
Publisher : MDPI
Page : 348 pages
File Size : 47,7 Mb
Release : 2021-01-20
Category : Computers
ISBN : 9783039368709

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Advances in Differential and Difference Equations with Applications 2020 by Dumitru Baleanu Pdf

It is very well known that differential equations are related with the rise of physical science in the last several decades and they are used successfully for models of real-world problems in a variety of fields from several disciplines. Additionally, difference equations represent the discrete analogues of differential equations. These types of equations started to be used intensively during the last several years for their multiple applications, particularly in complex chaotic behavior. A certain class of differential and related difference equations is represented by their respective fractional forms, which have been utilized to better describe non-local phenomena appearing in all branches of science and engineering. The purpose of this book is to present some common results given by mathematicians together with physicists, engineers, as well as other scientists, for whom differential and difference equations are valuable research tools. The reported results can be used by researchers and academics working in both pure and applied differential equations.

Author : Charlin Chester
Publisher : Unknown
Page : 0 pages
File Size : 42,8 Mb
Release : 2016-05-25
Category : Electronic
ISBN : 1682852024

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Differential & Difference Equations for Engineers and Scientists by Charlin Chester Pdf

Differential and difference equations are one of the most apt methods of measuring change. Be it for measuring the changes in investment returns or measurement of growth and decay, one might find the relevance of these equations everywhere. This book unfolds the innovative aspects of differential and difference equations which will be crucial for the progress of mathematics and physics in the future. This book strives to provide a fair idea about the types of equations like ordinary differential equations, partial differential equations, abstract differential equations, etc. This book is ideal for engineering students and scientists as well.