**Advanced Calculus and Analysis**

by Ian Craw

**Publisher**: University of Aberdeen 2000**Number of pages**: 110

**Description**:

An introductory Calculus course, with some leanings to analysis, at one time given in second year. It covers sequences, monotone convergence, limits and continuity, differentiability, infinite series, power series, differentiation of functions of several variables, and multiple integrals.

Download or read it online for free here:

**Download link**

(820KB, PDF)

## Similar books

**Semi-classical analysis**

by

**Victor Guillemin, Shlomo Sternberg**-

**Harvard University**

In semi-classical analysis many of the basic results involve asymptotic expansions in which the terms can by computed by symbolic techniques and the focus of these lecture notes will be the 'symbol calculus' that this creates.

(

**11353**views)

**Bernoulli Polynomials and Applications**

by

**Omran Kouba**-

**arXiv**

In these notes we try to familiarize the audience with the theory of Bernoulli polynomials; we study their properties, and we give, with proofs and references, some of the most relevant results related to them. Several applications are presented.

(

**6742**views)

**Special Functions and Their Symmetries: Postgraduate Course in Applied Analysis**

by

**Vadim Kuznetsov, Vladimir Kisil**-

**University of Leeds**

This text presents fundamentals of special functions theory and its applications in partial differential equations of mathematical physics. The course covers topics in harmonic, classical and functional analysis, and combinatorics.

(

**14033**views)

**Linear Mathematics In Infinite Dimensions**

by

**U. H. Gerlach**-

**The Ohio State University**

Contents: Infinite Dimensional Vector Spaces; Fourier Theory; Sturm-Liouville Theory; Green's Function Theory; Special Function Theory; Partial Differential Equations; System of Partial Differential Equations: How to Solve Maxwell's Equations ...

(

**7866**views)