**Introduction to Analysis**

by Ray Mayer

**Publisher**: Reed College 2006**Number of pages**: 291

**Description**:

Contents: Notation, Undefined Concepts, Examples; Fields; Induction and Integers; Complexification of a Field; Real Numbers; Complex Numbers; Complex Sequences; Continuity; Properties of Continuous Functions; The Derivative; Infinite Series; Power Series; etc.

Download or read it online for free here:

**Download link**

(2.9MB, PDF)

## Similar books

**Lecture Notes on the Theory of Distributions**

by

**Guenther Hoermann, Roland Steinbauer**-

**Universitaet Wien**

From the table of contents: 1. Test Functions and Distributions; 2. Differentiation, Differential Operators; 3. Basic Constructions; 4. Convolution; 5. Fourier Transform and Temperate Distributions; 6. Regularity; 7. Fundamental Solutions.

(

**5634**views)

**An Introduction to Asymptotic Analysis**

by

**Simon J.A. Malham**-

**Heriot-Watt University**

From the table of contents: Order notation; Perturbation methods; Asymptotic series; Laplace integrals (Laplace's method, Watson's lemma); Method of stationary phase; Method of steepest descents; Bibliography; Notes; Exam formula sheet; etc.

(

**3382**views)

**Theory of the Integral**

by

**Stanislaw Saks**-

**Polish Mathematical Society**

Covering all the standard topics, the author begins with a discussion of the integral in an abstract space, additive classes of sets, measurable functions, and integration of sequences of functions. Succeeding chapters cover Caratheodory measure.

(

**10657**views)

**Transmutations and Applications: a survey**

by

**Sergei M. Sitnik**-

**arXiv**

We consider main transmutation theory topics with many applications, including author's own results. The topics covered are: transmutations for Sturm-Liouville operators, Vekua-Erdelyi-Lowndes transmutations, Sonine and Poisson transmutations, etc.

(

**6821**views)