Analysis II: Differential and Integral Calculus, Fourier by Roger Godement,P. Spain

By Roger Godement,P. Spain

Functions in R and C, together with the idea of Fourier sequence, Fourier integrals and a part of that of holomorphic services, shape the focal subject of those volumes. in accordance with a direction given via the writer to massive audiences at Paris VII collage for a few years, the exposition proceeds a little bit nonlinearly, mixing rigorous arithmetic skilfully with didactical and ancient issues. It units out to demonstrate the range of attainable techniques to the most effects, with a purpose to begin the reader to tools, the underlying reasoning, and primary principles. it truly is compatible for either educating and self-study. In his ordinary, own variety, the writer emphasizes principles over calculations and, fending off the condensed variety usually present in textbooks, explains those rules with no parsimony of phrases. The French variation in 4 volumes, released from 1998, has met with resounding good fortune: the 1st volumes at the moment are on hand in English.

Show description

Read Online or Download Analysis II: Differential and Integral Calculus, Fourier Series, Holomorphic Functions (Universitext) PDF

Similar functional analysis books

Positive Definite Matrices (Princeton Series in Applied Mathematics)

This e-book represents the 1st synthesis of the substantial physique of latest learn into confident yes matrices. those matrices play an analogous function in noncommutative research as optimistic genuine numbers do in classical research. they've got theoretical and computational makes use of throughout a vast spectrum of disciplines, together with calculus, electric engineering, information, physics, numerical research, quantum details idea, and geometry.

Modern Fourier Analysis: Preliminary Entry 250 (Graduate Texts in Mathematics)

The first aim of this article is to provide the theoretical origin of the sector of Fourier research. This e-book is principally addressed to graduate scholars in arithmetic and is designed to serve for a three-course series at the topic. the single prerequisite for figuring out the textual content is passable of entirety of a path in degree conception, Lebesgue integration, and intricate variables.

C*-algebras and Elliptic Theory II: No. 2 (Trends in Mathematics)

This booklet involves a set of unique, refereed examine and expository articles on elliptic facets of geometric research on manifolds, together with singular, foliated and non-commutative areas. the themes coated comprise the index of operators, torsion invariants, K-theory of operator algebras and L2-invariants.

Sinusoids: Theory and Technological Applications (Chapman & Hall/CRC Monographs and Research Notes in Mathematics)

A whole therapy of present examine subject matters in Fourier Transforms and Sinusoids Sinusoids: thought and Technological functions explains how sinusoids and Fourier transforms are utilized in a number of software components, together with sign processing, GPS, optics, x-ray crystallography, radioastronomy, poetry and track as sound waves, and the scientific sciences.

Additional resources for Analysis II: Differential and Integral Calculus, Fourier Series, Holomorphic Functions (Universitext)

Example text

Download PDF sample

Rated 4.51 of 5 – based on 46 votes