A Practical Course In Differential Equations And Mathematical Modeling
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Practical Course In Differential Equations And Mathematical Modelling A Classical And New Methods Nonlinear Mathematical Models Symmetry And Invariance Principles
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Author : Nail H Ibragimov
language : en
Publisher: World Scientific Publishing Company
Release Date : 2009-11-19
Practical Course In Differential Equations And Mathematical Modelling A Classical And New Methods Nonlinear Mathematical Models Symmetry And Invariance Principles written by Nail H Ibragimov 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 2009-11-19 with Mathematics categories.
A Practical Course in Differential Equations and Mathematical Modelling is a unique blend of the traditional methods of ordinary and partial differential equations with Lie group analysis enriched by the author's own theoretical developments. The book — which aims to present new mathematical curricula based on symmetry and invariance principles — is tailored to develop analytic skills and “working knowledge” in both classical and Lie's methods for solving linear and nonlinear equations. This approach helps to make courses in differential equations, mathematical modelling, distributions and fundamental solution, etc. easy to follow and interesting for students. The book is based on the author's extensive teaching experience at Novosibirsk and Moscow universities in Russia, Collège de France, Georgia Tech and Stanford University in the United States, universities in South Africa, Cyprus, Turkey, and Blekinge Institute of Technology (BTH) in Sweden. The new curriculum prepares students for solving modern nonlinear problems and will essentially be more appealing to students compared to the traditional way of teaching mathematics.
A Practical Course In Differential Equations And Mathematical Modelling
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Author : Nailʹ Khaĭrullovich Ibragimov
language : en
Publisher:
Release Date : 200?
A Practical Course In Differential Equations And Mathematical Modelling written by Nailʹ Khaĭrullovich Ibragimov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 200? with Differential equations categories.
A Practical Course In Differential Equations And Mathematical Modeling
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Author : Nail H. Ibragimov
language : en
Publisher:
Release Date :
A Practical Course In Differential Equations And Mathematical Modeling written by Nail H. Ibragimov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with Electronic books categories.
A Practical Course in Differential Equations and Mathematical Modelling is a unique blend of the traditional methods of ordinary and partial differential equations with Lie group analysis enriched by the author's own theoretical developments. The book which aims to present new mathematical curricula based on symmetry and invariance principles is tailored to develop analytic skills and working knowledge in both classical and Lie's methods for solving linear and nonlinear equations. This approach helps to make courses in differential equations, mathematical modelling, distributions and fundame.
A First Course In Differential Equations Modeling And Simulation
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Author : Carlos A. Smith
language : en
Publisher: CRC Press
Release Date : 2011-05-18
A First Course In Differential Equations Modeling And Simulation written by Carlos A. Smith and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-05-18 with Mathematics categories.
Emphasizing a practical approach for engineers and scientists, A First Course in Differential Equations, Modeling, and Simulation avoids overly theoretical explanations and shows readers how differential equations arise from applying basic physical principles and experimental observations to engineering systems. It also covers classical methods for
A Practical Course In Differential Equations And Mathematical Modelling
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Author : Nail H. Ibragimov
language : en
Publisher:
Release Date : 2004
A Practical Course In Differential Equations And Mathematical Modelling written by Nail H. Ibragimov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with categories.
An Introduction To Mathematical Modeling
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Author : Edward A. Bender
language : en
Publisher: Courier Corporation
Release Date : 2000-03-06
An Introduction To Mathematical Modeling written by Edward A. Bender and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-03-06 with Mathematics categories.
Accessible text features over 100 reality-based examples pulled from the science, engineering and operations research fields. Prerequisites: ordinary differential equations, continuous probability. Numerous references. Includes 27 black-and-white figures. 1978 edition.
Mathematical Modelling With Differential Equations
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Author : Ronald E. Mickens
language : en
Publisher: CRC Press
Release Date : 2022-05-23
Mathematical Modelling With Differential Equations written by Ronald E. Mickens and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-05-23 with Mathematics categories.
Mathematical Modelling with Differential Equations aims to introduce various strategies for modelling systems using differential equations. Some of these methodologies are elementary and quite direct to comprehend and apply while others are complex in nature and require thoughtful, deep contemplation. Many topics discussed in the chapter do not appear in any of the standard textbooks and this provides users an opportunity to consider a more general set of interesting systems that can be modelled. For example, the book investigates the evolution of a "toy universe," discusses why "alternate futures" exists in classical physics, constructs approximate solutions to the famous Thomas—Fermi equation using only algebra and elementary calculus, and examines the importance of "truly nonlinear" and oscillating systems. Features Introduces, defines, and illustrates the concept of "dynamic consistency" as the foundation of modelling. Can be used as the basis of an upper-level undergraduate course on general procedures for mathematical modelling using differential equations. Discusses the issue of dimensional analysis and continually demonstrates its value for both the construction and analysis of mathematical modelling.
A First Course In Differential Equations Modeling And Simulation
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Author : Carlos A. Smith
language : en
Publisher: CRC Press
Release Date : 2016-04-05
A First Course In Differential Equations Modeling And Simulation written by Carlos A. Smith and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-05 with Mathematics categories.
A First Course in Differential Equations, Modeling, and Simulation shows how differential equations arise from applying basic physical principles and experimental observations to engineering systems. Avoiding overly theoretical explanations, the textbook also discusses classical and Laplace transform methods for obtaining the analytical solution of
Symmetries Differential Equations And Applications
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Author : Victor G. Kac
language : en
Publisher: Springer
Release Date : 2018-11-04
Symmetries Differential Equations And Applications written by Victor G. Kac and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-04 with Mathematics categories.
Based on the third International Conference on Symmetries, Differential Equations and Applications (SDEA-III), this proceedings volume highlights recent important advances and trends in the applications of Lie groups, including a broad area of topics in interdisciplinary studies, ranging from mathematical physics to financial mathematics. The selected and peer-reviewed contributions gathered here cover Lie theory and symmetry methods in differential equations, Lie algebras and Lie pseudogroups, super-symmetry and super-integrability, representation theory of Lie algebras, classification problems, conservation laws, and geometrical methods. The SDEA III, held in honour of the Centenary of Noether’s Theorem, proven by the prominent German mathematician Emmy Noether, at Istanbul Technical University in August 2017 provided a productive forum for academic researchers, both junior and senior, and students to discuss and share the latest developments in the theory and applications of Lie symmetry groups. This work has an interdisciplinary appeal and will be a valuable read for researchers in mathematics, mechanics, physics, engineering, medicine and finance.
Analytical Methods In Differential Equations
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Author : Sergey V. Meleshko
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2025-02-17
Analytical Methods In Differential Equations written by Sergey V. Meleshko and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-02-17 with Mathematics categories.
The book compiles papers presented at the International Conference 'Advances in Applications of Analytical Methods in Solving Differential Equations', held in honour of Academician Lev V. Ovsiannikov’s 105th birthday anniversary. This collection reflects his extensive contributions to the theory of differential equations, modelling, and the application of analytical methods. In addition to classical methods such as analytical integration of systems of equations and their applications in various fields of Science and Engineering, the book explores new areas of research. This includes the application of group analysis to novel mathematical models and nonlinear problems, particularly equations with nonlocal terms (symmetries of difference and differential equations, as well as fractional differential equations). One of the notable contributions in the book is the development of a Hamiltonian approach for delay differential equations, representing a novel area of research that has not been previously explored. The book is anticipated to appeal to a broad audience of experts in applied mathematics, fluid dynamics, and modelling, as well as to young scientists and graduate students interested in the analysis of nonlinear equations.