**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

**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.

(

**12903**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.

(

**15463**views)

**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.

(

**4684**views)

**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.

(

**13543**views)