INTRODUCTION TO
REAL ANALYSIS
MATH 452
Jerzy Kocik
Basic books
These books are elementary yet interesting. If you plan to teach at highschool level, they are indispensable.
Richard Courant, Herbert Robbins, Ian Stewart:
What Is Mathematics?
Oxford 1996 edition ($15).
Keith J. Devlin:
The Language of Mathematics: Making the Invisible Visible.
Owl Books 2000 ($17).
Ian Stewart:
Concepts of Modern Mathematics.
Dover 1995 ($13).
Howard Eves:
Foundations and Fundamental Concepts of Mathematics.
Dover 1997 ($12).
Books on philosophy of math
John D. Barrow:
PI in the Sky: Counting, Thinking, and Being
. 1993 ($20).
Reuben Hersh:
What Is Mathematics, Really?
Oxford 1999 ($14)
Books on real analysis
K.G. Binmore:
Mathematical Analysis: a straightforward approach
. Cambridge University Press (1982).[376 pages]
J.B. Reade:
An Introduction to Mathematical Analysis
. Clarendon, 1986.
M. Spivak:
Calculus
. Benjamin, 1967.
David S. Stirling:
Mathematical Analysis and Proof
. Albion, (Ellis Horwood, 1987?)
Victor Bryant:
Yet Another Introduction to Analysis
. [298 pages] Cambridge University Press (1990)
Robert G. Bartle and Donald R. Sherbert:
Introduction to Real Analysis
. [416 pages] John Wiley and Sons (1992).
W.A. Sutherland:
Introduction to Metric and Topological Spaces
. [181 pages] Oxford University Press, (1975).
R. Haggarty:
Fundamentals of Mathematical Analysis
. Addison Wesley.
J. C. Burkill:
A first course in Mathematical Analysis
.
C W Clark:
Elementary Mathematical Analysis
.
J.A. Fridy :
Introductory Analysis
.
M. Hart:
Guide to Analysis
.
D.B. Scott and S.R. Tims:
Mathematical Analysis: an introduction
.
Walter Rudin:
Principles of Mathematical Analysis
. McGraw-Hill, 3rd edition, 1976. [325 pages, $130 or $40]
