**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

**Differential Equations From The Algebraic Standpoint**

by

**Joseph Fels Ritt**-

**The American Mathematical Society**

We shall be concerned, in this monograph, with systems of differential equations, ordinary or partial, which are algebraic in the unknowns and their derivatives. The algebraic side of the theory of such systems seems is developed in this book.

(

**9813**views)

**Difference Equations to Differential Equations - An introduction to calculus**

by

**Dan Sloughter**

The book is on sequences, limits, difference equations, functions and their properties, affine approximations, integration, polynomial approximations and Taylor series, transcendental functions, complex plane and differential equations.

(

**25878**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.

(

**10072**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...

(

**12326**views)