id: 06549359
dt: b
an: 2016e.00804
au: O’Farrell, Anthony G.
ti: Analysis zero.
so: Kilcock: Logic Press (ISBN 978-1-326-41433-7/hbk; 978-1-326-41581-5/pbk).
vi, 153~p. (2015).
py: 2015
pu: Kilcock: Logic Press
la: EN
cc: I15 E65
ut: set theory; Peano axioms; real analysis; complex analysis; axioms;
consistency; redundancy; foundations of mathematics
ci:
li:
ab: This book is a basic course of real and complex analysis. It is aimed to
students who want to start beyond the axioms of the fields of numbers;
from the natural numbers to the complex. It is addressed to second year
or higher college students with a certain degree of mathematical
ripeness. In the book, the basic concepts of set theory are presented,
as well as the relations and functions. It begins from Peano’s axioms
and presents the construction of the natural numbers and from these the
integers, the rational, real and complex numbers with an innovative
presentation of the properties of each one of them according to the
basic axioms that support them. The different conceptual and
theoretical aspects are given in a non-formal way; however, it
describes the inherent aspects of axiomatic set theory, such as
consistency and redundancy. In the end, it will be an excellent lecture
for those interested in venture into aspects of the foundations of
mathematics.
rv: Mauro Garcia Pupo (Bogota)