ENGLISH

Mathematical analysis: Approximation and discrete processes

By Mariano Giaquinta , Giuseppe Modica

Book information

Publisher
Birkhäuser Boston
Year
2004
ISBN
0817643370, 9780817643379
Google Books ID
Z6q4EDRMC2UC
Open Library ID
OL8074816M
Language
english
Format
DJVU
Filesize
3 MB (3457549 bytes)
Edition
1
Pages
401\401
Library
Kolxo3
DPI
300
Orientation
yes
Scanned
yes
Time added
2010-07-29 05:14:56

Description

This fairly self-contained work embraces a broad range of topics in analysis at the graduate level, requiring only a sound knowledge of calculus and the functions of one variable. A key feature of this lively yet rigorous and systematic exposition is the historical accounts of ideas and methods pertaining to the relevant topics. Most interesting and useful are the connections developed between analysis and other mathematical disciplines, in this case, numerical analysis and probability theory. The text is divided into two parts: The first examines the systems of real and complex numbers and deals with the notion of sequences in this context. After the presentation of natural numbers as a subset of the reals, elements of combinatorics and a discussion of the mathematical notion of the infinite are introduced. The second part is dedicated to discrete processes starting with a study of the processes of infinite summation both in the case of numerical series and of power series. The volume closes with an introductory chapter on the study of discrete dynamical systems and a summary of mathematicians and other scientists referenced in the work.

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