**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

**Lectures on Exterior Differential Systems**

by

**M. Kuranishi**-

**Tata Institute of Fundamental Research**

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.

(

**7658**views)

**Differential and Integral Equations: Boundary Value Problems and Adjoints**

by

**S. Schwabik, M. Tvrdy, O. Vejvoda**-

**Academia Praha**

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...

(

**3084**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.

(

**8830**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.

(

**13767**views)