The Equation System
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Solution Of Equations And Systems Of Equations
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Author : A. M. Ostrowski
language : en
Publisher: Elsevier
Release Date : 2016-06-03
Solution Of Equations And Systems Of Equations written by A. M. Ostrowski and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-03 with Mathematics categories.
Solution of Equations and Systems of Equations, Second Edition deals with the Laguerre iteration, interpolating polynomials, method of steepest descent, and the theory of divided differences. The book reviews the formula for confluent divided differences, Newton's interpolation formula, general interpolation problems, and the triangular schemes for computing divided differences. The text explains the method of False Position (Regula Falsi) and cites examples of computation using the Regula Falsi. The book discusses iterations by monotonic iterating functions and analyzes the connection of the Regula Falsi with the theory of iteration. The text also explains the idea of the Newton-Raphson method and compares it with the Regula Falsi. The book also cites asymptotic behavior of errors in the Regula Falsi iteration, as well as the theorem on the error of the Taylor approximation to the root. The method of steepest descent or gradient method proposed by Cauchy ensures "global convergence" in very general conditions. This book is suitable for mathematicians, students, and professor of calculus, and advanced mathematics.
The Equation System
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Author :
language : en
Publisher:
Release Date : 1933
The Equation System written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1933 with categories.
The Equation System
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Author : A. V. Greenwood
language : en
Publisher:
Release Date : 193?
The Equation System written by A. V. Greenwood and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 193? with Finance categories.
Intermediate Algebra 2e
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Author : Lynn Marecek
language : en
Publisher:
Release Date : 2020-05-06
Intermediate Algebra 2e written by Lynn Marecek and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-05-06 with categories.
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.
Algebra And Trigonometry
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Author : Jay P. Abramson
language : en
Publisher:
Release Date : 2015-02-13
Algebra And Trigonometry written by Jay P. Abramson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-02-13 with Algebra categories.
"The text is suitable for a typical introductory algebra course, and was developed to be used flexibly. While the breadth of topics may go beyond what an instructor would cover, the modular approach and the richness of content ensures that the book meets the needs of a variety of programs."--Page 1.
Analysis Of Linear Systems
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Author : David Keun Cheng
language : en
Publisher: Addison-Wesley Longman
Release Date : 1959
Analysis Of Linear Systems written by David Keun Cheng and has been published by Addison-Wesley Longman this book supported file pdf, txt, epub, kindle and other format this book has been release on 1959 with Mathematics categories.
Singular Systems Of Differential Equations
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Author : Stephen La Vern Campbell
language : en
Publisher:
Release Date : 1980
Singular Systems Of Differential Equations written by Stephen La Vern Campbell and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with Differential equations categories.
Ordinary Differential Equations And Mechanical Systems
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Author : Jan Awrejcewicz
language : en
Publisher: Springer
Release Date : 2014-09-17
Ordinary Differential Equations And Mechanical Systems written by Jan Awrejcewicz and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-17 with Mathematics categories.
This book applies a step-by-step treatment of the current state-of-the-art of ordinary differential equations used in modeling of engineering systems/processes and beyond. It covers systematically ordered problems, beginning with first and second order ODEs, linear and higher-order ODEs of polynomial form, theory and criteria of similarity, modeling approaches, phase plane and phase space concepts, stability optimization and ending on chaos and synchronization. Presenting both an overview of the theory of the introductory differential equations in the context of applicability and a systematic treatment of modeling of numerous engineering and physical problems through linear and non-linear ODEs, the volume is self-contained, yet serves both scientific and engineering interests. The presentation relies on a general treatment, analytical and numerical methods, concrete examples and engineering intuition. The scientific background used is well balanced between elementary and advanced level, making it as a unique self-contained source for both theoretically and application oriented graduate and doctoral students, university teachers, researchers and engineers of mechanical, civil and mechatronic engineering.
Ordinary Differential Equations And Dynamical Systems
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Author : Thomas C. Sideris
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-10-17
Ordinary Differential Equations And Dynamical Systems written by Thomas C. Sideris 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 2013-10-17 with Mathematics categories.
This book is a mathematically rigorous introduction to the beautiful subject of ordinary differential equations for beginning graduate or advanced undergraduate students. Students should have a solid background in analysis and linear algebra. The presentation emphasizes commonly used techniques without necessarily striving for completeness or for the treatment of a large number of topics. The first half of the book is devoted to the development of the basic theory: linear systems, existence and uniqueness of solutions to the initial value problem, flows, stability, and smooth dependence of solutions upon initial conditions and parameters. Much of this theory also serves as the paradigm for evolutionary partial differential equations. The second half of the book is devoted to geometric theory: topological conjugacy, invariant manifolds, existence and stability of periodic solutions, bifurcations, normal forms, and the existence of transverse homoclinic points and their link to chaotic dynamics. A common thread throughout the second part is the use of the implicit function theorem in Banach space. Chapter 5, devoted to this topic, the serves as the bridge between the two halves of the book.