**Analysis Tools with Applications**

by Bruce K. Driver

**Publisher**: Springer 2003**Number of pages**: 790

**Description**:

These are lecture notes from Real analysis and PDE. Contents: Basic Topological, Metric and Banach Space Notions; The Riemann Integral and Ordinary Differential Equations; Lebesbgue Integration Theory; Hilbert Spaces and Spectral Theory of Compact Operators; Synthesis of Integral and Differential Calculus; Miracle Properties of Banach Spaces; Complex Variable Theory; The Fourier Transform; Generalized Functions; PDE Examples; First Order Scalar Equations Elliptic ODE; Constant Coefficient Equations; Sobolev Theory; Variable Coefficient Equations; Heat Kernel Properties; Heat Kernels on Vector Bundles; PDE Extras.

Download or read it online for free here:

**Download link**

(4.7MB, PDF)

## Similar books

**An Elementary Treatise On Differential Equations And Their Applications**

by

**H.T.H. Piaggio**-

**G. Bell**

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.

(

**7180**views)

**Differential Equations**

by

**Paul Dawkins**-

**Lamar University**

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.

(

**15940**views)

**Differential Equations**

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...

(

**9319**views)

**Topics in dynamics I: Flows**

by

**Edward Nelson**-

**Princeton University Press**

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.

(

**16836**views)