A Course In Ordinary Differential Equations With Applications
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A Course In Ordinary Differential Equations With Applications
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Author : Martin Moskowitz
language : en
Publisher: World Scientific
Release Date : 2025-02-27
A Course In Ordinary Differential Equations With Applications written by Martin Moskowitz and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-02-27 with Mathematics categories.
This book was written for advanced undergraduate math or science majors. Its initial purpose was to illustrate the elementary mathematical theory of ordinary differential equations and their diverse and powerful applications. Historically these have been decisive in many physical problems, some of which have philosophically challenged and indeed altered our civilization's concepts. Because of the importance of the subject, the book is also suitable for a one-semester course for graduate students. The book consists of 12 chapters and six appendices.
Ordinary Differential Equations With Applications
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Author : Carmen Chicone
language : en
Publisher: Springer Science & Business Media
Release Date : 1999
Ordinary Differential Equations With Applications written by Carmen Chicone 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 1999 with Mathematics categories.
"Through its extensive use of examples, exercises, and real-world applications, this book provides science and engineering graduate students with a thorough introduction to the theory and application of ordinary differential equations."--BOOK JACKET.
A Course In Ordinary Differential Equations
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Author : Bindhyachal Rai
language : en
Publisher: CRC Press
Release Date : 2002
A Course In Ordinary Differential Equations written by Bindhyachal Rai and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematics categories.
Designed as a text for both under and postgraduate students of mathematics and engineering, A Course in Ordinary Differential Equations deals with theory and methods of solutions as well as applications of ordinary differential equations. The treatment is lucid and gives a detailed account of Laplace transforms and their applications, Legendre and Bessel functions, and covers all the important numerical methods for differential equations.
Course Ordinary Differential Equationshb
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Author : MOSKOWITZ
language : en
Publisher: World Scientific Publishing Company
Release Date : 2025
Course Ordinary Differential Equationshb written by MOSKOWITZ 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 2025 with Mathematics categories.
This book was written for advanced undergraduate math or science majors. Its initial purpose was to illustrate the elementary mathematical theory of ordinary differential equations and their diverse and powerful applications. Historically these have been decisive in many physical problems, some of which have philosophically challenged and indeed altered our civilization's concepts. Because of the importance of the subject, the book is also suitable for a one-semester course for graduate students. The book consists of 12 chapters and six appendices.
Ordinary Differential Equations And Applications Ii With Maple Illustrations
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Author : Benjamin Oyediran Oyelami
language : en
Publisher: Bentham Science Publishers
Release Date : 2024-12-19
Ordinary Differential Equations And Applications Ii With Maple Illustrations written by Benjamin Oyediran Oyelami and has been published by Bentham Science Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-12-19 with Mathematics categories.
Ordinary Differential Equations and Applications II: With Maple Illustrations integrates fundamental theories of Ordinary Differential Equations (ODEs) with practical applications and Maple-based solutions. This comprehensive textbook covers vector-valued differential equations, matrix solutions, stability methods, and periodic systems. Using Maple and MapleSim software, readers learn symbolic solutions, plotting techniques, 2D/3D animation for ODE problems, and simulations for engineering systems. This book is ideal for undergraduate and postgraduate students in mathematics, physics, economics, and engineering, as well as researchers and professionals needing advanced applications of ODEs. Key Features: - Comprehensive introduction to ODE concepts and real-life applications - Solutions for initial value problems using Maple and MapleSim software - Analysis of stability using Routh-Hurwitz and Lyapunov methods - Models of neural firing, avian influenza, and biological populations - Practical guidance on MapleSim for multi-domain simulations, code generation, and Monte Carlo simulation
A First Course In Ordinary Differential Equations With Applications
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Author : Basem S. Attili
language : en
Publisher:
Release Date : 2016
A First Course In Ordinary Differential Equations With Applications written by Basem S. Attili and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016 with Differential equations categories.
Ordinary Differential Equations With Applications
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Author : Larry C. Andrews
language : en
Publisher: Pearson Scott Foresman
Release Date : 1982
Ordinary Differential Equations With Applications written by Larry C. Andrews and has been published by Pearson Scott Foresman this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with Mathematics categories.
Ordinary Differential Equations And Applications I With Maple Examples
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Author :
language : en
Publisher: Bentham Science Publishers
Release Date : 2024-12-10
Ordinary Differential Equations And Applications I With Maple Examples written by and has been published by Bentham Science Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-12-10 with Mathematics categories.
Ordinary Differential Equations and Applications I: with Maple Examples blends the theory and practical applications of Ordinary Differential Equations (ODEs) with real-world examples, using Maple and MapleSim software. It covers fundamental ODE concepts, from first-order equations to more advanced topics like the Laplace and Mellin transforms, Fourier series, and power series solutions. The book includes detailed Maple examples demonstrating symbolic solutions, 2D and 3D plotting, and animated solution paths. Designed for undergraduate and postgraduate students in mathematics, physics, engineering, and other fields, it is also a valuable resource for professionals. The book addresses various applications in biology, economics, chemistry, and medicine. Key Features: - In-depth coverage of ODEs with real-world applications. - Maple examples for symbolic solutions, plotting, and animations. - Exploration of Laplace, Mellin, and Fourier series methods.
Ordinary Differential Equations With Applications
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Author : Carmen Chicone
language : en
Publisher: Springer Nature
Release Date : 2024-05-19
Ordinary Differential Equations With Applications written by Carmen Chicone and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-05-19 with Mathematics categories.
This book, developed during 20 years of the author teaching differential equations courses at his home university, is designed to serve as a text for a graduate level course focused on the central theory of the subject with attention paid to applications and connections to other advanced topics in mathematics. Core theory includes local existence and uniqueness, the phase plane, Poincaré-Bendixson theory, Lyapunov and linearized stability, linear systems, Floquet theory, the Grobman–Hartman theorem, persistence of rest points and periodic orbits, the stable and center manifold theorems, and bifurcation theory. This edition includes expanded treatment of deterministic chaos, perturbation theory for periodic solutions, boundary value problems, optimization, and a wide range of their applications. In addition, it contains a formulation and new proof of a theorem on instability of rest points in the presence of an eigenvalue with positive real part, and new proofs of differential inequalities and Lyapunov’s center theorem. New sections present discussions of global bifurcation, the Crandall–Rabinowitz theorem, and Alekseev’s formula. Of particular note is a new chapter on basic control theory, a discussion of optimal control, and a proof of a useful special case of the maximum principle. A key feature of earlier editions, a wide selection of original exercises, is respected in this edition with the inclusion of a wealth of new exercises. Reviews of the first edition: “As an applied mathematics text on linear and nonlinear equations, the book by Chicone is written with stimulating enthusiasm. It will certainly appeal to many students and researchers.”—F. Verhulst, SIAM Review “The author writes lucidly and in an engaging conversational style. His book is wide-ranging in its subject matter, thorough in its presentation, and written at a generally high level of generality, detail, and rigor.”—D. S. Shafer, Mathematical Reviews
Ordinary Differential Equations With Applications
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Author : Ali Mason
language : en
Publisher: Scientific e-Resources
Release Date : 2018-10-20
Ordinary Differential Equations With Applications written by Ali Mason and has been published by Scientific e-Resources this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-10-20 with categories.
Ordinary differential equations (ODEs) arise in many contexts of mathematics and science (social as well as natural). Mathematical descriptions of change use differentials and derivatives. Various differentials, derivatives, and functions become related to each other via equations, and thus a differential equation is a result that describes dynamically changing phenomena, evolution, and variation. Often, quantities are defined as the rate of change of other quantities (for example, derivatives of displacement with respect to time), or gradients of quantities, which is how they enter differential equations. Ordinary differential equations are equations to be solved in which the unknown element is a function, rather than a number, and in which the known information relates that function to its derivatives. Few such equations admit an explicit answer, but there is a wealth of qualitative information describing the solutions and their dependence on the defining equation. Systems of differential equations form the basis of mathematical models in a wide range of fields - from engineering and physical sciences to finance and biological sciences. Differential equations are relations between unknown functions and their derivatives. Computing numerical solutions to differential equations is one of the most important tasks in technical computing, and one of the strengths of MATLAB. The book explains the origins of various types of differential equations. The scope of the book is limited to linear differential equations of the first order, linear differential equation of higher order, partial differential equations and special methods of solution of differential equations of second order, keeping in view the requirement of students.