e-books in Differential Equations category
Differential Equations From The Algebraic Standpointby Joseph Fels Ritt - The American Mathematical Society , 1932
We shall be concerned, in this monograph, with systems of differential equations, ordinary or partial, which are algebraic in the unknowns and their derivatives. The algebraic side of the theory of such systems seems is developed in this book.
(9494 views)
Differential and Integral Equations: Boundary Value Problems and Adjointsby S. Schwabik, M. Tvrdy, O. Vejvoda - Academia Praha , 1979
The book is devoted to certain problems which belong to the domain of integral equations and boundary value problems for differential equations. Its essential part is concerned with linear systems of integral and generalized differential equations...
(7830 views)
Elementary Differential Equations with Boundary Value Problemsby William F. Trench - Brooks Cole , 2013
Trench includes a thorough treatment of boundary-value problems and partial differential equations and has organized the book to allow instructors to select the level of technology desired. This has been simplified by using symbols, C and L ...
(11987 views)
Differential Equationsby William Woolsey Johnson - J. Wiley , 1906
The differential equation must necessarily at first be viewed in connection with a 'primitive', from which it might have been obtained by the direct process, and the solution consists in the discovery of such a primitive, when it exists...
(12104 views)
An Elementary Treatise On Differential Equations And Their Applicationsby H.T.H. Piaggio - G. Bell , 1920
The object of this book is to give an account of the central parts of the subject in as simple a form as possible, suitable for those with no previous knowledge of it, and to point out the different directions in which it may be developed.
(9846 views)
Mathematical Physics IIby Boris Dubrovin - SISSA , 2008
These are lecture notes on various topics in analytic theory of differential equations: Singular points of solutions to analytic differential equations; Monodromy of linear differential operators with rational coefficients.
(17115 views)
Lectures on Exterior Differential Systemsby M. Kuranishi - Tata Institute of Fundamental Research , 1962
Contents: Parametrization of sets of integral submanifolds (Regular linear maps, Germs of submanifolds of a manifold); Exterior differential systems (Differential systems with independent variables); Prolongation of Exterior Differential Systems.
(11869 views)
Beyond partial differential equations: A course on linear and quasi-linear abstract hyperbolic evolution equationsby Horst R. Beyer - arXiv , 2011
This course introduces the use of semigroup methods in the solution of linear and nonlinear (quasi-linear) hyperbolic partial differential equations, with particular application to wave equations and Hermitian hyperbolic systems.
(13729 views)
Techniques of Applied Mathematicsby Andrew Fowler - University of Oxford , 2005
This course develops mathematical techniques which are useful in solving 'real-world' problems involving differential equations. The course embraces the ethos of mathematical modelling, and aims to show in a practical way how equations 'work'.
(13268 views)
Introduction to Differential Equationsby Jeff rey R. Chasnov - The Hong Kong University of Science &Technology , 2010
Contents: A short mathematical review; Introduction to odes; First-order odes; Second-order odes, constant coefficients; The Laplace transform; Series solutions; Systems of equations; Bifurcation theory; Partial differential equations.
(18027 views)
Computational Mathematics for Differential Equationsby N. V. Kopchenova, I. A. Maron , 1975
This is a manual on solving problems in computational mathematics. The book is intended primarily for engineering students, but may also prove useful for economics students, graduate engineers, and postgraduate students in the applied sciences.
(18519 views)
Analysis Tools with Applicationsby Bruce K. Driver - Springer , 2003
These are lecture notes from Real analysis and PDE: Basic Topological, Metric and Banach Space Notions; Riemann Integral and ODE; Lebesbgue Integration; Hilbert Spaces and Spectral Theory of Compact Operators; Complex Variable Theory; etc.
(17283 views)
Why the Boundary of a Round Drop Becomes a Curve of Order Fourby A. N. Varchenko, P. I. Etingof - American Mathematical Society , 1992
This book concerns the problem of evolution of a round oil spot surrounded by water when oil is extracted from a well inside the spot. It turns out that the boundary of the spot remains an algebraic curve of degree four in the course of evolution.
(17270 views)
Notes on Diffy Qs: Differential Equations for Engineersby Jiří Lebl - Lulu.com , 2017
One semester introductory course on differential equations aimed at engineers. The book covers first order ODEs, higher order linear ODEs, systems of ODEs, Fourier series and PDEs, eigenvalue problems, and the Laplace transform.
(39865 views)
Traveling Wave Solutions of Parabolic Systemsby A. Volpert, V. Volpert, V. Volpert - American Mathematical Society , 2000
The theory of traveling waves described by parabolic equations and systems is a rapidly developing branch of modern mathematics. This book presents a general picture of current results about wave solutions of parabolic systems and their stability.
(16067 views)
Differential Equationsby Paul Dawkins - Lamar University , 2011
Contents: Basic Concepts; First Order Differential Equations; Second Order DE; Laplace Transforms; Systems of Differential Equations; Series Solutions; Higher Order DE; Boundary Value Problems and Fourier Series; Partial Differential Equations.
(21802 views)
Topics in dynamics I: Flowsby Edward Nelson - Princeton University Press , 1969
Lecture notes for a course on differential equations covering differential calculus, Picard's method, local structure of vector fields, sums and Lie products, self-adjoint operators on Hilbert space, commutative multiplicity theory, and more.
(20507 views)
Notes on Differential Equationsby Bob Terrell , 2005
Introductory notes on ordinary and partial differential equations for engineers. The text covers only the most important ideas. Assumed background is calculus and a little physics. Linear algebra is introduced in four of the lectures.
(19088 views)
Difference Equations to Differential Equations - An introduction to calculusby Dan Sloughter , 2000
The book is on sequences, limits, difference equations, functions and their properties, affine approximations, integration, polynomial approximations and Taylor series, transcendental functions, complex plane and differential equations.
(25563 views)