Topics in dynamics I: Flows
by Edward Nelson
Publisher: Princeton University Press 1969
Number of pages: 122
These are the lecture notes for the first term of a course on differential equations, given in Fine Hall the autumn of 1968. The text covers differential calculus, Picard's method, the local structure of vector fields, sums and Lie products of vector fields, self-adjoint operators on Hilbert space, commutative multiplicity theory, extensions of Hermitean operators, sums and Lie products of self-adjoint operators.
Home page url
Download or read it online for free here:
by Jiří Lebl - Lulu.com
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.
by Boris Dubrovin - SISSA
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.
by A. Volpert, V. Volpert, V. Volpert - American Mathematical Society
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.
by William Woolsey Johnson - J. Wiley
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...