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Ordinary Differential Equations (ODE)

e-books in Ordinary Differential Equations (ODE) category

Book cover: Ordinary Differential EquationsOrdinary Differential Equations
by - University of Bristol ,
This book consists of ten weeks of material given as a course on ordinary differential equations for second year mathematics majors. Rather than seeking to find specific solutions, we seek to understand how all solutions are related in phase space.
(1795 views)
Book cover: Differential Equations and Linear AlgebraDifferential Equations and Linear Algebra
by - Heriot-Watt University ,
From the table of contents: Linear second order ODEs; Homogeneous linear ODEs; Non-homogeneous linear ODEs; Laplace transforms; Linear algebraic equations; Matrix Equations; Linear algebraic eigenvalue problems; Systems of differential equations.
(2996 views)
Book cover: Differential Equations with YouTube ExamplesDifferential Equations with YouTube Examples
by - BookBoon ,
This book, together with the linked YouTube videos, reviews a first course on differential equations. The purpose is to help students prepare for their exams. Theory is summarized, and the solutions of questions are demonstrated in YouTube videos.
(2262 views)

Book cover: Examples of differential equations, with rules for their solutionExamples of differential equations, with rules for their solution
by - Boston, Ginn & Company ,
This work has been prepared to meet a want in a course on the subject, arranged for advanced students in Physics. It could be used in connection with lectures on the theory of Differential Equations and the derivation of the methods of solution.
(3138 views)
Book cover: A First Course in Ordinary Differential EquationsA First Course in Ordinary Differential Equations
by - Bookboon ,
The book consists of lecture notes intended for engineering and science students who are reading a first course in ordinary differential equations and who have already read a course on linear algebra, general vector spaces and integral calculus.
(2106 views)
Book cover: A Friendly Introduction to Differential EquationsA Friendly Introduction to Differential Equations
by ,
The book covers: The Laplace Transform, Systems of Homogeneous Linear Differential Equations, First and Higher Orders Differential Equations, Extended Methods of First and Higher Orders Differential Equations, Applications of Differential Equations.
(5752 views)
Book cover: Ordinary Differential Equations: A Systems ApproachOrdinary Differential Equations: A Systems Approach
by ,
This is a revision of a text that was on the market for a while. It focuses on systems of differential equations. Some popular topics, which were present in the original text, have been left out to concentrate on the initial value problem.
(5463 views)
Book cover: Elementary Differential EquationsElementary Differential Equations
by - Brooks Cole ,
This text has been written in clear and accurate language that students can read and comprehend. The author has minimized the number of explicitly state theorems and definitions, in favor of dealing with concepts in a more conversational manner.
(2957 views)
Book cover: Ordinary Differential EquationsOrdinary Differential Equations
by - National University of Singapore ,
From the table of contents: First Order Differential Equations; Linear Differential Equations; Second Order Linear Differential Equations; Linear Differential Systems; Power Series Solutions; Fundamental Theory of Ordinary Differential Equations.
(5994 views)
Book cover: Second-order Ordinary Differential EquationsSecond-order Ordinary Differential Equations
by - Bookboon ,
This text provides an introduction to all the relevant material normally encountered at university level: series solution, special functions, Sturm-Liouville theory and the definition, properties and use of various integral transforms.
(4941 views)
Book cover: Integration and Differential EquationsIntegration and Differential Equations
by - BookBoon ,
Part I introduces the standard techniques of elementary integration and, in some cases, takes the ideas a little further. In Part II, ordinary differential equation are explored, and the solution methods for some standard types are explained.
(5204 views)
Book cover: Linearization via the Lie DerivativeLinearization via the Lie Derivative
by - American Mathematical Society ,
The proof of the Grobman-Hartman linearization theorem for a flow at a hyperbolic rest point proceeds by establishing the analogous result for hyperbolic fixed points of local diffeomorphisms. We present a proof that avoids the discrete case.
(4693 views)
Book cover: Periodic Solutions for Evolution EquationsPeriodic Solutions for Evolution Equations
by - American Mathematical Society ,
We study the existence and uniqueness of periodic solutions for evolution equations. We analyze the one-dimensional case, then for arbitrary dimensions. We consider linear symmetric operators. We prove the same results for non-linear operators.
(4859 views)
Book cover: The Contraction Mapping Principle and Some ApplicationsThe Contraction Mapping Principle and Some Applications
by - American Mathematical Society ,
These notes contain various versions of the contraction mapping principle. Several applications to existence theorems in differential and integral equations and variational inequalities are given. Also discussed are Hilbert's projective metric.
(5378 views)
Book cover: Lectures on Differential EquationsLectures on Differential Equations
by - University of California ,
From the table of contents: Pendulum and MatLab; First Order Equations; Second Order Linear Equations; Difference Equations; Matrix Differential Equations; Weighted String; Quantum Harmonic Oscillator; Laplace Transform, etc.
(6642 views)
Book cover: A Second Course in Elementary Ordinary Differential EquationsA Second Course in Elementary Ordinary Differential Equations
by - Arkansas Tech University ,
Calculus of Matrix-Valued Functions of a Real Variable; nth Order Linear Differential Equations; General Solution of nth Order Linear Homogeneous Equations; Fundamental Sets and Linear Independence; Higher Order Homogeneous Linear Equations; etc.
(7881 views)
Book cover: A First Course in Elementary Differential EquationsA First Course in Elementary Differential Equations
by - Arkansas Tech University ,
Contents: Basic Terminology; Qualitative Analysis: Direction Field of y'=f(t,y); Existence and Uniqueness of Solutions to First Order Linear IVP; Solving First Order Linear Homogeneous DE; Solving First Order Linear Non Homogeneous DE; etc.
(6992 views)
Book cover: Introduction to the Galois Theory of Linear Differential EquationsIntroduction to the Galois Theory of Linear Differential Equations
by - arXiv ,
The author's goal was to give the audience an introduction to the algebraic, analytic and algorithmic aspects of the Galois theory of linear differential equations by focusing on some of the main ideas and philosophies and on examples.
(6164 views)
Book cover: Differential EquationsDifferential Equations
by - John Wiley & Sons ,
With the formal exercise in solving the usual types of ordinary differential equations it is the object of this text to combine a thorough drill in the solution of problems in which the student sets up and integrates his own differential equation.
(8721 views)
Book cover: Real Functions in One Variable: Simple Differential Equations IReal Functions in One Variable: Simple Differential Equations I
by - BookBoon ,
Some examples of simple differential equations. The book covers separation of variables, linear differential equation of first order, the existence and uniqueness theorem, the Bernoulli differential equation, and the setup of model equations.
(7794 views)
Book cover: Ordinary Differential Equations and Dynamical SystemsOrdinary Differential Equations and Dynamical Systems
by - Universitaet Wien ,
This book provides an introduction to ordinary differential equations and dynamical systems. We start with some simple examples of explicitly solvable equations. Then we prove the fundamental results concerning the initial value problem.
(11132 views)
Book cover: Nonlinear Analysis and Differential EquationsNonlinear Analysis and Differential Equations
by - University of Utah ,
The intent of this set of notes is to present several of the important existence theorems for solutions of various types of problems associated with differential equations and provide qualitative and quantitative descriptions of solutions.
(8304 views)
Book cover: Lectures on Analytic Differential EquationsLectures on Analytic Differential Equations
by - American Mathematical Society ,
A graduate-level textbook and survey of the recent results on analysis and geometry of differential equations in the real and complex domain. The book includes self-contained demonstrations of several fundamental results.
(9813 views)