libristo a textbook on ordinary differential equations 9205089
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A Textbook On Ordinary Differential Equations
Książki Obcojęzyczne>Angielskie>Mathematics & science>Mathematics>Calculus & mathematical analysis>Differential calculus & equationsKsi...
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A Short Course In Ordinary Differential Equations
Książki Obcojęzyczne>Angielskie>Mathematics & science>Mathematics>Calculus & mathematical analysis>Differential calculus & equations
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On Systems Of Ordinary, Non-linear Differential Equations Involving Periodic Given Functions With A Small Period (Classic Reprint)
Książki Obcojęzyczne>Angielskie>Mathematics & science>Mathematics>Calculus & mathematical analysis>CalculusKsiążki Obcojęzyczne>Angi...
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A Course In Ordinary Differential Equations, Second Edition
Książki Obcojęzyczne>Angielskie>Mathematics & science>Mathematics>Calculus & mathematical analysis>Differential calculus & equationsKsi...
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A Treatise On Ordinary And Partial Differential Equations (Classic Reprint)
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A First Course in Ordinary Differential Equations: Analytical and Numerical Methods
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Numerical Methods for Ordinary Differential Equations Springer London Ltd
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Written for undergraduate students with a mathematical background, this book is a self-contained introduction to a fundamental field of numerical analysis and scientific computation. It features numerous theoretical and computational examples.§
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Ordinary Differential Equations Springer-Verlag New York Inc.
Książki / Literatura obcojęzyczna
Unlike other texts on differential equations, this one provides an early presentation of the Laplace transform before deploying it in the motivation and development of many of the differential equation concepts for which it is particularly well suited.
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Stability And Periodic Solutions Of Ordinary And Functional Differential Equations
Książki Obcojęzyczne>Angielskie>Mathematics & science>Mathematics>Calculus & mathematical analysis>Differential calculus & equations
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Ordinary Differential Equations: Basics and Beyond Springer-Verlag New York Inc.
Książki / Literatura obcojęzyczna
This book develops the theory of ordinary differential equations (ODEs), starting from an introductory level through to a graduate-level treatment of the qualitative theory, including bifurcation theory (but not chaos). While proofs are rigorous, the exposition is reader-friendly, aiming for the informality of face-to-face interactions.§§A unique feature of this book is the integration of rigorous theory with numerous applications of scientific interest. Besides providing motivation, this synthesis clarifies the theory and enhances scientific literacy. Other features include: (i) a wealth of exercises at various levels, along with commentary that explains why they matter and (ii) a dedicated website with software templates, problem solutions, and other resources supporting the text and (iii) a large number and variety of illustrations.§§Given its many applications, the book is suitable for senior undergraduates and graduate students in mathematics and science and engineering courses. The thoughtful presentation, which anticipates many confusions of beginning students, makes the book suitable for a teaching environment that emphasizes self-directed, active learning (including the so-called inverted classroom).§
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Introduction to Ordinary Differential Equations Dover Publications Inc.
Książki / Literatura obcojęzyczna
Chapter 0. Preliminaries 1. Introduction 2 Complex numbers 3 Functions 4 Polynomials 5. Complex series and the exponential function 6. Determinants 7. Remarks on methods of discovery and proofChapter 1. Introduction--Linear Equations of the First Order 1. Introduction 2. Differential equations 3. Problems associated with differential equations 4. Linear equations of the first order 5. The equation y'+ay=0 6. The equation y'+ay=b(x) 7. The general linear equation of the first orderChapter 2. Linear Equations with Constant Coefficients 1. Introduction 2. The second order homogeneous equation 3. Initial value problems for second order equations 4. Linear dependence and independence 5. A formula for the Wronskian 6. The non-homogeneous equation of order two 7. The homogeneous equation of order n 8. Initial value problems for n-th order equations 9. Equations with real constants 10. The non-homogeneous equation of order n 11. A special method for solving the non-homogeneous equation 12. Algebra of constant coefficient operatorsChapter 3. Linear Equations with Variable Coefficients 1. Introduction 2. Initial value problems for the homogeneous equation 3. Solutions of the homogeneous equation 4. The Wronskian and linear independence 5. Reduction of the order of a homogeneous equation 6. The non-homogeneous equation 7. Homogeneous equations with analytic coefficients 8. The Legendre equation 9. Justification of the power series methodChapter 4. Linear Equations with Regular Singular Points 1. Introduction 2. The Euler equation 3. Second order equations with regular singular points--an example 4. Second order equations with regular singular points--the general case 5. A convergence proof 6. The exceptional cases 7. The Bessel equation 8. The Bessel equation (continued) 9. Regular singular points at infinityChapter 5. Existence and Uniqueness of Solutions to First Order Equations 1. Introduction 2. Equations with variables separated 3. Exact equations 4. The method of successive approximations 5. The Lipschitz condition 6. Convergence of the successive approximations 7. Non-local existence of solutions 8. Approximations to, and uniqueness of, solutions 9. Equations with complex-valued functionsChapter 6. Existence and Uniqueness of Solutions to Systems and n-th Order Equations 1. Introduction 2. An example--central forces and planetary motion 3. Some special equations 4. Complex n-dimensional space 5. Systems as vector equations 6. Existence and uniqueness of solutions to systems 7. Existence and uniqueness for linear systems 8. Equations of order n References; Answers to Exercises; Index
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Ordinary Differential Equations
Książki Obcojęzyczne>Angielskie>Mathematics & science>Mathematics>Calculus & mathematical analysis>Differential calculus & equations
0x0139ebc200000000
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Ordinary Differential Equations Dover Publications Inc.
Książki / Literatura obcojęzyczna
Skillfully organized introductory text examines origin of differential equations, then defines basic terms and outlines the general solution of a differential equation. Explores integrating factors; dilution and accretion problems; Laplace Transforms; Newton's Interpolation Formulas, more.
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t1=0.052, t2=0, t3=0, t4=0.026, t=0.053