Mathematical Analysis II

• Main Authors: Canuto, Claudio (Author), Tabacco, Anita (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Milano : Springer Milan, 2010.
• Series: Universitext
• Subjects: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Functional analysis.; Differential equations.; Partial differential equations.; Mathematics, general.; Analysis.; Functional Analysis.; Ordinary Differential Equations.; Partial Differential Equations.

The purpose of this textbook is to present an array of topics in Calculus, and conceptually follow our previous effort Mathematical Analysis I.The present material is partly found, in fact, in the syllabus of the typical second lecture course in Calculus as offered in most Italian universities. Whil...

Table of Contents:

• Numerical series
• Series of functions and power series
• Fourier series
• Functions between Euclidean spaces
• Differential calculus for scalar functions
• Differential calculus for vector-valued functions
• Applying differential calculus
• Integral calculus in several variables
• Integral calculus on curves and surfaces
• Ordinary differential equations.