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Algebraic Approach To Differential Equations


Algebraic Approach To Differential Equations
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Algebraic Approach To Differential Equations


Algebraic Approach To Differential Equations
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Author : D?ng Tr ng Lˆ
language : en
Publisher: World Scientific
Release Date : 2010

Algebraic Approach To Differential Equations written by D?ng Tr ng Lˆ and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Mathematics categories.


Mixing elementary results and advanced methods, Algebraic Approach to Differential Equations aims to accustom differential equation specialists to algebraic methods in this area of interest. It presents material from a school organized by The Abdus Salam International Centre for Theoretical Physics (ICTP), the Bibliotheca Alexandrina, and the International Centre for Pure and Applied Mathematics (CIMPA).



First Order Algebraic Differential Equations


First Order Algebraic Differential Equations
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Author : M. Matsuda
language : en
Publisher: Springer
Release Date : 2006-11-15

First Order Algebraic Differential Equations written by M. Matsuda and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.




Algebraic Approach To Differential Equations


Algebraic Approach To Differential Equations
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Author : International Centre for Theoretical Physics
language : en
Publisher:
Release Date : 2010

Algebraic Approach To Differential Equations written by International Centre for Theoretical Physics and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Differential equations categories.




Burnside Groups


Burnside Groups
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Author : Michihiko Matsuda
language : en
Publisher:
Release Date : 1980

Burnside Groups written by Michihiko Matsuda and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with Burnside problem categories.




Computational Flexible Multibody Dynamics


Computational Flexible Multibody Dynamics
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Author : Bernd Simeon
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-14

Computational Flexible Multibody Dynamics written by Bernd Simeon 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 2013-06-14 with Mathematics categories.


This monograph, written from a numerical analysis perspective, aims to provide a comprehensive treatment of both the mathematical framework and the numerical methods for flexible multibody dynamics. Not only is this field permanently and rapidly growing, with various applications in aerospace engineering, biomechanics, robotics, and vehicle analysis, its foundations can also be built on reasonably established mathematical models. Regarding actual computations, great strides have been made over the last two decades, as sophisticated software packages are now capable of simulating highly complex structures with rigid and deformable components. The approach used in this book should benefit graduate students and scientists working in computational mechanics and related disciplines as well as those interested in time-dependent partial differential equations and heterogeneous problems with multiple time scales. Additionally, a number of open issues at the frontiers of research are addressed by taking a differential-algebraic approach and extending it to the notion of transient saddle point problems.



Differential Equations From The Algebraic Standpoint


Differential Equations From The Algebraic Standpoint
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Author : Joseph Fels Ritt
language : en
Publisher: American Mathematical Soc.
Release Date : 1932-12-31

Differential Equations From The Algebraic Standpoint written by Joseph Fels Ritt and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1932-12-31 with Mathematics categories.


This book can be viewed as a first attempt to systematically develop an algebraic theory of nonlinear differential equations, both ordinary and partial. The main goal of the author was to construct a theory of elimination, which ``will reduce the existence problem for a finite or infinite system of algebraic differential equations to the application of the implicit function theorem taken with Cauchy's theorem in the ordinary case and Riquier's in the partial.'' In his 1934 review of the book, J. M. Thomas called it ``concise, readable, original, precise, and stimulating'', and his words still remain true. A more fundamental and complete account of further developments of the algebraic approach to differential equations is given in Ritt's treatise Differential Algebra, written almost 20 years after the present work (Colloquium Publications, Vol. 33, American Mathematical Society, 1950).



Differential Equations


Differential Equations
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Author : Anindya Dey
language : en
Publisher: CRC Press
Release Date : 2021-09-27

Differential Equations written by Anindya Dey and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-09-27 with Mathematics categories.


Differential Equations: A Linear Algebra Approach follows an innovative approach of inculcating linear algebra and elementary functional analysis in the backdrop of even the simple methods of solving ordinary differential equations. The contents of the book have been made user-friendly through concise useful theoretical discussions and numerous illustrative examples practical and pathological.



Geometric And Algebraic Structures In Differential Equations


Geometric And Algebraic Structures In Differential Equations
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Author : P.H. Kersten
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Geometric And Algebraic Structures In Differential Equations written by P.H. Kersten 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.


The geometrical theory of nonlinear differential equations originates from classical works by S. Lie and A. Bäcklund. It obtained a new impulse in the sixties when the complete integrability of the Korteweg-de Vries equation was found and it became clear that some basic and quite general geometrical and algebraic structures govern this property of integrability. Nowadays the geometrical and algebraic approach to partial differential equations constitutes a special branch of modern mathematics. In 1993, a workshop on algebra and geometry of differential equations took place at the University of Twente (The Netherlands), where the state-of-the-art of the main problems was fixed. This book contains a collection of invited lectures presented at this workshop. The material presented is of interest to those who work in pure and applied mathematics and especially in mathematical physics.



Equations With Transformed Argument


Equations With Transformed Argument
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Author : Danuta Przeworska-Rolewicz
language : en
Publisher: Elsevier Science & Technology
Release Date : 1973

Equations With Transformed Argument written by Danuta Przeworska-Rolewicz and has been published by Elsevier Science & Technology this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with Mathematics categories.




Ordinary Differential Equations And Linear Algebra


Ordinary Differential Equations And Linear Algebra
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Author : Todd Kapitula
language : en
Publisher: SIAM
Release Date : 2015-11-17

Ordinary Differential Equations And Linear Algebra written by Todd Kapitula and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-11-17 with Mathematics categories.


Ordinary differential equations (ODEs) and linear algebra are foundational postcalculus mathematics courses in the sciences. The goal of this text is to help students master both subject areas in a one-semester course. Linear algebra is developed first, with an eye toward solving linear systems of ODEs. A computer algebra system is used for intermediate calculations (Gaussian elimination, complicated integrals, etc.); however, the text is not tailored toward a particular system. Ordinary Differential Equations and Linear Algebra: A Systems Approach systematically develops the linear algebra needed to solve systems of ODEs and includes over 15 distinct applications of the theory, many of which are not typically seen in a textbook at this level (e.g., lead poisoning, SIR models, digital filters). It emphasizes mathematical modeling and contains group projects at the end of each chapter that allow students to more fully explore the interaction between the modeling of a system, the solution of the model, and the resulting physical description.