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Título : Ordinary and Partial Differential Equations : With Special Functions, Fourier Series, and Boundary Value Problems Tipo de documento: documento electrónico Autores: Ravi P. Agarwal ; SpringerLink (Online service) ; Donal O’Regan Editorial: New York, NY : Springer New York Fecha de publicación: 2009 Colección: Universitext, ISSN 0172-5939 Número de páginas: XIV, 410 p. 35 illus Il.: online resource ISBN/ISSN/DL: 978-0-387-79146-3 Idioma : Inglés (eng) Palabras clave: Mathematics Differential equations Partial differential Numerical analysis Physics Applied mathematics Engineering Equations Ordinary Analysis Mathematical Methods in Appl.Mathematics/Computational of Clasificación: 51 Matemáticas Resumen: This textbook provides a genuine treatment of ordinary and partial differential equations (ODEs and PDEs) through 50 class tested lectures. Key Features: Explains mathematical concepts with clarity and rigor, using fully worked-out examples and helpful illustrations. Develops ODEs in conjuction with PDEs and is aimed mainly toward applications. Covers importat applications-oriented topics such as solutions of ODEs in the form of power series, special functions, Bessel functions, hypergeometric functions, orthogonal functions and polynomicals, Legendre, Chebyshev, Hermite, and Laguerre polynomials, and the theory of Fourier series. Provides exercises at the end of each chapter for practice. This book is ideal for an undergratuate or first year graduate-level course, depending on the university. Prerequisites include a course in calculus. About the Authors: Ravi P. Agarwal received his Ph.D. in mathematics from the Indian Institute of Technology, Madras, India. He is a professor of mathematics at the Florida Institute of Technology. His research interests include numerical analysis, inequalities, fixed point theorems, and differential and difference equations. He is the author/co-author of over 800 journal articles and more than 20 books, and actively contributes to over 40 journals and book series in various capacities. Donal O’Regan received his Ph.D. in mathematics from Oregon State University, Oregon, U.S.A. He is a professor of mathematics at the National University of Ireland, Galway. He is the author/co-author of 15 books and has published over 650 papers on fixed point theory, operator, integral, differential and difference equations. He serves on the editorial board of many mathematical journals. Previously, the authors have co-authored/co-edited the following books with Springer: Infinite Interval Problems for Differential, Difference and Integral Equations; Singular Differential and Integral Equations with Applications; Nonlinear Analysis and Applications: To V. Lakshmikanthan on his 80th Birthday; An Introduction to Ordinary Differential Equations. In addition, they have collaborated with others on the following titles: Positive Solutions of Differential, Difference and Integral Equations; Oscillation Theory for Difference and Functional Differential Equations; Oscillation Theory for Second Order Linear, Half-Linear, Superlinear and Sublinear Dynamic Equations Nota de contenido: Solvable Differential Equations -- Second-Order Differential Equations -- Preliminaries to Series Solutions -- Solution at an Ordinary Point -- Solution at a Singular Point -- Solution at a Singular Point (Cont’d.) -- Legendre Polynomials and Functions -- Chebyshev, Hermite and Laguerre Polynomials -- Bessel Functions -- Hypergeometric Functions -- Piecewise Continuous and Periodic Functions -- Orthogonal Functions and Polynomials -- Orthogonal Functions and Polynomials (Cont’d.) -- Boundary Value Problems -- Boundary Value Problems (Cont’d.) -- Green’s Functions -- Regular Perturbations -- Singular Perturbations -- Sturm–Liouville Problems -- Eigenfunction Expansions -- Eigenfunction Expansions (Cont’d.) -- Convergence of the Fourier Series -- Convergence of the Fourier Series (Cont’d.) -- Fourier Series Solutions of Ordinary Differential Equations -- Partial Differential Equations -- First-Order Partial Differential Equations -- Solvable Partial Differential Equations -- The Canonical Forms -- The Method of Separation of Variables -- The One-Dimensional Heat Equation -- The One-Dimensional Heat Equation (Cont’d.) -- The One-Dimensional Wave Equation -- The One-Dimensional Wave Equation (Cont’d.) -- Laplace Equation in Two Dimensions -- Laplace Equation in Polar Coordinates -- Two-Dimensional Heat Equation -- Two-Dimensional Wave Equation -- Laplace Equation in Three Dimensions -- Laplace Equation in Three Dimensions (Cont’d.) -- Nonhomogeneous Equations -- Fourier Integral and Transforms -- Fourier Integral and Transforms (Cont’d.) -- Fourier Transform Method for Partial DEs -- Fourier Transform Method for Partial DEs (Cont’d.) -- Laplace Transforms -- Laplace Transforms (Cont’d.) -- Laplace Transform Method for Ordinary DEs -- Laplace Transform Method for Partial DEs -- Well-Posed Problems -- Verification of Solutions En línea: http://dx.doi.org/10.1007/978-0-387-79146-3 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33882 Ordinary and Partial Differential Equations : With Special Functions, Fourier Series, and Boundary Value Problems [documento electrónico] / Ravi P. Agarwal ; SpringerLink (Online service) ; Donal O’Regan . - New York, NY : Springer New York, 2009 . - XIV, 410 p. 35 illus : online resource. - (Universitext, ISSN 0172-5939) .
ISBN : 978-0-387-79146-3
Idioma : Inglés (eng)
Palabras clave: Mathematics Differential equations Partial differential Numerical analysis Physics Applied mathematics Engineering Equations Ordinary Analysis Mathematical Methods in Appl.Mathematics/Computational of Clasificación: 51 Matemáticas Resumen: This textbook provides a genuine treatment of ordinary and partial differential equations (ODEs and PDEs) through 50 class tested lectures. Key Features: Explains mathematical concepts with clarity and rigor, using fully worked-out examples and helpful illustrations. Develops ODEs in conjuction with PDEs and is aimed mainly toward applications. Covers importat applications-oriented topics such as solutions of ODEs in the form of power series, special functions, Bessel functions, hypergeometric functions, orthogonal functions and polynomicals, Legendre, Chebyshev, Hermite, and Laguerre polynomials, and the theory of Fourier series. Provides exercises at the end of each chapter for practice. This book is ideal for an undergratuate or first year graduate-level course, depending on the university. Prerequisites include a course in calculus. About the Authors: Ravi P. Agarwal received his Ph.D. in mathematics from the Indian Institute of Technology, Madras, India. He is a professor of mathematics at the Florida Institute of Technology. His research interests include numerical analysis, inequalities, fixed point theorems, and differential and difference equations. He is the author/co-author of over 800 journal articles and more than 20 books, and actively contributes to over 40 journals and book series in various capacities. Donal O’Regan received his Ph.D. in mathematics from Oregon State University, Oregon, U.S.A. He is a professor of mathematics at the National University of Ireland, Galway. He is the author/co-author of 15 books and has published over 650 papers on fixed point theory, operator, integral, differential and difference equations. He serves on the editorial board of many mathematical journals. Previously, the authors have co-authored/co-edited the following books with Springer: Infinite Interval Problems for Differential, Difference and Integral Equations; Singular Differential and Integral Equations with Applications; Nonlinear Analysis and Applications: To V. Lakshmikanthan on his 80th Birthday; An Introduction to Ordinary Differential Equations. In addition, they have collaborated with others on the following titles: Positive Solutions of Differential, Difference and Integral Equations; Oscillation Theory for Difference and Functional Differential Equations; Oscillation Theory for Second Order Linear, Half-Linear, Superlinear and Sublinear Dynamic Equations Nota de contenido: Solvable Differential Equations -- Second-Order Differential Equations -- Preliminaries to Series Solutions -- Solution at an Ordinary Point -- Solution at a Singular Point -- Solution at a Singular Point (Cont’d.) -- Legendre Polynomials and Functions -- Chebyshev, Hermite and Laguerre Polynomials -- Bessel Functions -- Hypergeometric Functions -- Piecewise Continuous and Periodic Functions -- Orthogonal Functions and Polynomials -- Orthogonal Functions and Polynomials (Cont’d.) -- Boundary Value Problems -- Boundary Value Problems (Cont’d.) -- Green’s Functions -- Regular Perturbations -- Singular Perturbations -- Sturm–Liouville Problems -- Eigenfunction Expansions -- Eigenfunction Expansions (Cont’d.) -- Convergence of the Fourier Series -- Convergence of the Fourier Series (Cont’d.) -- Fourier Series Solutions of Ordinary Differential Equations -- Partial Differential Equations -- First-Order Partial Differential Equations -- Solvable Partial Differential Equations -- The Canonical Forms -- The Method of Separation of Variables -- The One-Dimensional Heat Equation -- The One-Dimensional Heat Equation (Cont’d.) -- The One-Dimensional Wave Equation -- The One-Dimensional Wave Equation (Cont’d.) -- Laplace Equation in Two Dimensions -- Laplace Equation in Polar Coordinates -- Two-Dimensional Heat Equation -- Two-Dimensional Wave Equation -- Laplace Equation in Three Dimensions -- Laplace Equation in Three Dimensions (Cont’d.) -- Nonhomogeneous Equations -- Fourier Integral and Transforms -- Fourier Integral and Transforms (Cont’d.) -- Fourier Transform Method for Partial DEs -- Fourier Transform Method for Partial DEs (Cont’d.) -- Laplace Transforms -- Laplace Transforms (Cont’d.) -- Laplace Transform Method for Ordinary DEs -- Laplace Transform Method for Partial DEs -- Well-Posed Problems -- Verification of Solutions En línea: http://dx.doi.org/10.1007/978-0-387-79146-3 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33882 Ejemplares
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Título : Ordinary Differential Equations Tipo de documento: documento electrónico Autores: William A. Adkins ; SpringerLink (Online service) ; Mark G. Davidson Editorial: New York, NY : Springer New York Fecha de publicación: 2012 Otro editor: Imprint: Springer Colección: Undergraduate Texts in Mathematics, ISSN 0172-6056 Número de páginas: XIII, 799 p. 121 illus Il.: online resource ISBN/ISSN/DL: 978-1-4614-3618-8 Idioma : Inglés (eng) Palabras clave: Mathematics Differential equations Ordinary Equations Clasificación: 51 Matemáticas Resumen: Unlike most texts in differential equations, this textbook gives an early presentation of the Laplace transform, which is then used to motivate and develop many of the remaining differential equation concepts for which it is particularly well suited. For example, the standard solution methods for constant coefficient linear differential equations are immediate and simplified, and solution methods for constant coefficient systems are streamlined. By introducing the Laplace transform early in the text, students become proficient in its use while at the same time learning the standard topics in differential equations. The text also includes proofs of several important theorems that are not usually given in introductory texts. These include a proof of the injectivity of the Laplace transform and a proof of the existence and uniqueness theorem for linear constant coefficient differential equations. Along with its unique traits, this text contains all the topics needed for a standard three- or four-hour, sophomore-level differential equations course for students majoring in science or engineering. These topics include: first order differential equations, general linear differential equations with constant coefficients, second order linear differential equations with variable coefficients, power series methods, and linear systems of differential equations. It is assumed that the reader has had the equivalent of a one-year course in college calculus Nota de contenido: Preface -- 1 First Order Differential Equations -- 2 The Laplace Transform -- 3 Second Order Constant Coefficient Linear Differential Equations -- 4 Linear Constant Coefficient Differential Equations -- 5 Second Order Linear Differential Equations -- 6 Discontinuous Functions and the Laplace Transform -- 7 Power Series Methods -- 8 Matrices -- 9 Linear Systems of Differential Equations -- A Appendix -- B Selected Answers -- C Tables -- Symbol Index -- Index En línea: http://dx.doi.org/10.1007/978-1-4614-3618-8 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32806 Ordinary Differential Equations [documento electrónico] / William A. Adkins ; SpringerLink (Online service) ; Mark G. Davidson . - New York, NY : Springer New York : Imprint: Springer, 2012 . - XIII, 799 p. 121 illus : online resource. - (Undergraduate Texts in Mathematics, ISSN 0172-6056) .
ISBN : 978-1-4614-3618-8
Idioma : Inglés (eng)
Palabras clave: Mathematics Differential equations Ordinary Equations Clasificación: 51 Matemáticas Resumen: Unlike most texts in differential equations, this textbook gives an early presentation of the Laplace transform, which is then used to motivate and develop many of the remaining differential equation concepts for which it is particularly well suited. For example, the standard solution methods for constant coefficient linear differential equations are immediate and simplified, and solution methods for constant coefficient systems are streamlined. By introducing the Laplace transform early in the text, students become proficient in its use while at the same time learning the standard topics in differential equations. The text also includes proofs of several important theorems that are not usually given in introductory texts. These include a proof of the injectivity of the Laplace transform and a proof of the existence and uniqueness theorem for linear constant coefficient differential equations. Along with its unique traits, this text contains all the topics needed for a standard three- or four-hour, sophomore-level differential equations course for students majoring in science or engineering. These topics include: first order differential equations, general linear differential equations with constant coefficients, second order linear differential equations with variable coefficients, power series methods, and linear systems of differential equations. It is assumed that the reader has had the equivalent of a one-year course in college calculus Nota de contenido: Preface -- 1 First Order Differential Equations -- 2 The Laplace Transform -- 3 Second Order Constant Coefficient Linear Differential Equations -- 4 Linear Constant Coefficient Differential Equations -- 5 Second Order Linear Differential Equations -- 6 Discontinuous Functions and the Laplace Transform -- 7 Power Series Methods -- 8 Matrices -- 9 Linear Systems of Differential Equations -- A Appendix -- B Selected Answers -- C Tables -- Symbol Index -- Index En línea: http://dx.doi.org/10.1007/978-1-4614-3618-8 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32806 Ejemplares
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Título : Ordinary Differential Equations and Dynamical Systems Tipo de documento: documento electrónico Autores: Sideris, Thomas C ; SpringerLink (Online service) Editorial: Paris : Atlantis Press Fecha de publicación: 2013 Colección: Atlantis Studies in Differential Equations, ISSN 2214-6253 num. 2 Número de páginas: XI, 225 p. 11 illus Il.: online resource ISBN/ISSN/DL: 978-94-6239-021-8 Idioma : Inglés (eng) Palabras clave: Mathematics Differential equations Ordinary Equations Clasificación: 51 Matemáticas Resumen: 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 Nota de contenido: Introduction -- Linear Systems -- Existence Theory -- Nonautomous Linear Systems -- Results from Functional Analysis -- Dependence on Initial Conditions and Parameters -- Linearization and Invariant Manifolds -- Periodic Solutions -- Center Manifolds and Bifurcation Theory -- The Birkhoff Smale Homoclinic Theorem -- Appendix: Results from Real Analysis En línea: http://dx.doi.org/10.2991/978-94-6239-021-8 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32652 Ordinary Differential Equations and Dynamical Systems [documento electrónico] / Sideris, Thomas C ; SpringerLink (Online service) . - Paris : Atlantis Press, 2013 . - XI, 225 p. 11 illus : online resource. - (Atlantis Studies in Differential Equations, ISSN 2214-6253; 2) .
ISBN : 978-94-6239-021-8
Idioma : Inglés (eng)
Palabras clave: Mathematics Differential equations Ordinary Equations Clasificación: 51 Matemáticas Resumen: 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 Nota de contenido: Introduction -- Linear Systems -- Existence Theory -- Nonautomous Linear Systems -- Results from Functional Analysis -- Dependence on Initial Conditions and Parameters -- Linearization and Invariant Manifolds -- Periodic Solutions -- Center Manifolds and Bifurcation Theory -- The Birkhoff Smale Homoclinic Theorem -- Appendix: Results from Real Analysis En línea: http://dx.doi.org/10.2991/978-94-6239-021-8 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32652 Ejemplares
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Título : Ordinary Differential Equations with Applications Tipo de documento: documento electrónico Autores: Carmen Chicone ; SpringerLink (Online service) Editorial: New York, NY : Springer New York Fecha de publicación: 2006 Colección: Texts in Applied Mathematics, ISSN 0939-2475 num. 34 Número de páginas: XIX, 636 p Il.: online resource ISBN/ISSN/DL: 978-0-387-35794-2 Idioma : Inglés (eng) Palabras clave: Mathematics Mathematical analysis Analysis (Mathematics) Dynamics Ergodic theory Differential equations Statistical physics Dynamical systems Ordinary Equations Systems and Theory Physics, Complexity Clasificación: 51 Matemáticas Resumen: This book developed over 20 years of the author teaching the course at his own university. It serves as a text for a graduate level course in the theory of ordinary differential equations, written from a dynamical systems point of view. It contains both theory and applications, with the applications interwoven with the theory throughout the text. The author also links ordinary differential equations with advanced mathematical topics such as differential geometry, Lie group theory, analysis in infinite-dimensional spaces and even abstract algebra. The second edition incorporates corrections and improvements of the original text. New material includes a proof of the Grobman-Hartman theorem for flows based on the Lie derivative, more extensive treatment of the Euler-Lagrange equation and its applications, a proof of Noether's theorem on the existence of first integrals in the presence of symmetries and a new section on dynamic bifurcation with a proof of Pontryagin's formula. The impressive array of existing exercises has been more than doubled in size and further enhanced in scope, providing mathematics, physical science and engineering graduate students with a thorough introduction to the theory and application of ordinary differential equations. 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 Nota de contenido: to Ordinary Differential Equations -- Linear Systems and Stability of Nonlinear Systems -- Applications -- Hyperbolic Theory -- Continuation of Periodic Solutions -- Homoclinic Orbits, Melnikov’s Method, and Chaos -- Averaging -- Local Bifurcation En línea: http://dx.doi.org/10.1007/0-387-35794-7 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34822 Ordinary Differential Equations with Applications [documento electrónico] / Carmen Chicone ; SpringerLink (Online service) . - New York, NY : Springer New York, 2006 . - XIX, 636 p : online resource. - (Texts in Applied Mathematics, ISSN 0939-2475; 34) .
ISBN : 978-0-387-35794-2
Idioma : Inglés (eng)
Palabras clave: Mathematics Mathematical analysis Analysis (Mathematics) Dynamics Ergodic theory Differential equations Statistical physics Dynamical systems Ordinary Equations Systems and Theory Physics, Complexity Clasificación: 51 Matemáticas Resumen: This book developed over 20 years of the author teaching the course at his own university. It serves as a text for a graduate level course in the theory of ordinary differential equations, written from a dynamical systems point of view. It contains both theory and applications, with the applications interwoven with the theory throughout the text. The author also links ordinary differential equations with advanced mathematical topics such as differential geometry, Lie group theory, analysis in infinite-dimensional spaces and even abstract algebra. The second edition incorporates corrections and improvements of the original text. New material includes a proof of the Grobman-Hartman theorem for flows based on the Lie derivative, more extensive treatment of the Euler-Lagrange equation and its applications, a proof of Noether's theorem on the existence of first integrals in the presence of symmetries and a new section on dynamic bifurcation with a proof of Pontryagin's formula. The impressive array of existing exercises has been more than doubled in size and further enhanced in scope, providing mathematics, physical science and engineering graduate students with a thorough introduction to the theory and application of ordinary differential equations. 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 Nota de contenido: to Ordinary Differential Equations -- Linear Systems and Stability of Nonlinear Systems -- Applications -- Hyperbolic Theory -- Continuation of Periodic Solutions -- Homoclinic Orbits, Melnikov’s Method, and Chaos -- Averaging -- Local Bifurcation En línea: http://dx.doi.org/10.1007/0-387-35794-7 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34822 Ejemplares
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Título : Ordinary Differential Equations with Applications to Mechanics Tipo de documento: documento electrónico Autores: Soare, Mircea V ; SpringerLink (Online service) ; Teodorescu, Petre P ; Ileana Toma Editorial: Dordrecht : Springer Netherlands Fecha de publicación: 2007 Colección: Mathematics and Its Applications num. 585 Número de páginas: X, 488 p Il.: online resource ISBN/ISSN/DL: 978-1-4020-5440-2 Idioma : Inglés (eng) Palabras clave: Mathematics Mathematical analysis Analysis (Mathematics) Differential equations Applied mathematics Engineering Mechanics Applications of Appl.Mathematics/Computational Methods Ordinary Equations Clasificación: 51 Matemáticas Resumen: The present book has its source in the authors’ wish to create a bridge between the mathematical and the technical disciplines, which need a good knowledge of a strong mathematical tool. The necessity of such an interdisciplinary work drove the authors to publish a first book to this aim with Editura Tehnica, Bucharest, Romania. The present book is a new, English edition of the volume published in 1999. It contains many improvements concerning the theoretical (mathematical) information, as well as new topics, using enlarged and updated references. Only ordinary differential equations and their solutions in an analytical frame were considered, leaving aside their numerical approach. The problem is firstly stated in its mechanical frame. Then the mathematical model is set up, emphasizing on the one hand the physical magnitude playing the part of the unknown function and on the other hand the laws of mechanics that lead to an ordinary differential equation or system. The solution is then obtained by specifying the mathematical methods described in the corresponding theoretical presentation. Finally a mechanical interpretation of the solution is provided, this giving rise to a complete knowledge of the studied phenomenon. The number of applications was increased, and many of these problems appear currently in engineering. Audience Mechanical and civil engineers, physicists, applied mathematicians, astronomers and students. The prerequisites are courses of elementary analysis and algebra, as given at a technical university. On a larger scale, all those interested in using mathematical models and methods in various fields, like mechanics, civil and mechanical engineering, and people involved in teaching or design will find this work indispensable Nota de contenido: Linear ODEs of First and Second Order -- Linear ODEs Of Higher Order (n > 2) -- Linear ODSs of First Order -- Non-Linear ODEs Of First and Second Order -- Non-Linear ODSs of First Order -- Variational Calculus -- Stability En línea: http://dx.doi.org/10.1007/1-4020-5440-8 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34576 Ordinary Differential Equations with Applications to Mechanics [documento electrónico] / Soare, Mircea V ; SpringerLink (Online service) ; Teodorescu, Petre P ; Ileana Toma . - Dordrecht : Springer Netherlands, 2007 . - X, 488 p : online resource. - (Mathematics and Its Applications; 585) .
ISBN : 978-1-4020-5440-2
Idioma : Inglés (eng)
Palabras clave: Mathematics Mathematical analysis Analysis (Mathematics) Differential equations Applied mathematics Engineering Mechanics Applications of Appl.Mathematics/Computational Methods Ordinary Equations Clasificación: 51 Matemáticas Resumen: The present book has its source in the authors’ wish to create a bridge between the mathematical and the technical disciplines, which need a good knowledge of a strong mathematical tool. The necessity of such an interdisciplinary work drove the authors to publish a first book to this aim with Editura Tehnica, Bucharest, Romania. The present book is a new, English edition of the volume published in 1999. It contains many improvements concerning the theoretical (mathematical) information, as well as new topics, using enlarged and updated references. Only ordinary differential equations and their solutions in an analytical frame were considered, leaving aside their numerical approach. The problem is firstly stated in its mechanical frame. Then the mathematical model is set up, emphasizing on the one hand the physical magnitude playing the part of the unknown function and on the other hand the laws of mechanics that lead to an ordinary differential equation or system. The solution is then obtained by specifying the mathematical methods described in the corresponding theoretical presentation. Finally a mechanical interpretation of the solution is provided, this giving rise to a complete knowledge of the studied phenomenon. The number of applications was increased, and many of these problems appear currently in engineering. Audience Mechanical and civil engineers, physicists, applied mathematicians, astronomers and students. The prerequisites are courses of elementary analysis and algebra, as given at a technical university. On a larger scale, all those interested in using mathematical models and methods in various fields, like mechanics, civil and mechanical engineering, and people involved in teaching or design will find this work indispensable Nota de contenido: Linear ODEs of First and Second Order -- Linear ODEs Of Higher Order (n > 2) -- Linear ODSs of First Order -- Non-Linear ODEs Of First and Second Order -- Non-Linear ODSs of First Order -- Variational Calculus -- Stability En línea: http://dx.doi.org/10.1007/1-4020-5440-8 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34576 Ejemplares
Signatura Medio Ubicación Sub-localización Sección Estado ningún ejemplar PermalinkAdvances in Applied Mathematics and Approximation Theory / SpringerLink (Online service) ; George A. Anastassiou ; Oktay Duman (2013)
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