**Topics in dynamics I: Flows**

by Edward Nelson

**Publisher**: Princeton University Press 1969**ISBN/ASIN**: 0691080801**ISBN-13**: 9780691080802**Number of pages**: 122

**Description**:

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.

Download or read it online for free here:

**Download link**

(2.7MB, PDF)

## Similar books

**Why the Boundary of a Round Drop Becomes a Curve of Order Four**

by

**A. N. Varchenko, P. I. Etingof**-

**American Mathematical Society**

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.

(

**12295**views)

**Beyond partial differential equations: A course on linear and quasi-linear abstract hyperbolic evolution equations**

by

**Horst R. Beyer**-

**arXiv**

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.

(

**8354**views)

**Introduction to Differential Equations**

by

**Jeffrey R. Chasnov**-

**The Hong Kong University of Science &Technology**

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.

(

**13554**views)

**Notes on Differential Equations**

by

**Bob Terrell**

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.

(

**13208**views)