ENGLISH

Foundations of Mathematical Analysis

By J. K. Truss

Book information

Publisher
Clarendon Press; Oxford University Press
Year
1997
ISBN
0198533756, 9780198533757
LCC
QA299.8 .T78 1997
Open Library ID
OL670443M
Language
english
Format
DJVU
Filesize
7 MB (7372420 bytes)
Series
Oxford science publications
Pages
367\367
Library
mexmat
Time added
2009-07-20 03:45:11

Description

Foundations of Mathematical Analysis covers a wide variety of topics that will be of great interest to students of pure mathematics or mathematics and philosophy. Aimed principally at graduate and advanced undergraduate students, its primary goal is to discuss the fundamental number systems, N, Z, Q, R, and C, in the context of the branches of mathematics for which they form a starting point; for example, a study of the natural numbers leads on to logic (via Godel's theorems), and of the real numbers (as constructed by Cauchy) to metric spaces and topology. The author offers a refreshingly original and accessible approach, presenting standard material in new ways and incorporating less mainstream topics such as long real and rational lines and the p-adic numbers. With a discussion of constructivism and independence questions, including Suslin's problem and the continuum hypothesis, the author completes a wide-ranging consideration of the development of mathematics from the very beginning, concentrating on the foundational issues particularly related to analysis.

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