**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

**Computational Mathematics for Differential Equations**

by

**N. V. Kopchenova, I. A. Maron**

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.

(

**18187**views)

**Notes on Diffy Qs: Differential Equations for Engineers**

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.

(

**39484**views)

**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.

(

**9530**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...

(

**7531**views)