Foundations of Mathematical Analysis (Oxford Science Publications) by J. K. Truss

Science & Math | Mathematics
Foundations of Mathematical Analysis (Oxford Science Publications)
Title:
Foundations of Mathematical Analysis (Oxford Science Publications)
Author:
J. K. Truss
ISBN:
0198533756
ISBN13:
978-0198533757
Size PDF:
1789 kb
Size epub:
1878 kb
Publisher:
Oxford University Press (July 10, 1997)
Language:
English
Other formats:
pdf, odf, mobi, cb7, azw, lit, ibooks
Rating:
4.4
Votes:
336

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 Gödel'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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