Graphics Reference
In-Depth Information
Bibliography
Armitage, J. V. and GriMths, H. B., 1969,
Companion to Advanced Mathematics
, vol. 1,
Cambridge University Press.
Part II of this topic contains a concise but illuminating overview of first-year
undergraduate analysis from a second-year/metric space point of view.
Artmann, B., 1988,
The Concept of Number
, Ellis Horwood.
An advanced and thorough treatment.
Ausubel, D. P., 1968,
Educational Psychology
:
a Cognitive View
, Holt, Rinehart and
Winston.
Baylis, J. and Haggarty, R., 1988,
Alice in Numberland
, Macmillan Education.
A prosy, jokey, but none the less serious introduction to the real numbers.
Beckenbach, E. F. and Bellman, R., 1961,
An Introduction to Inequalities
, Mathematical
Association of America.
Inequalities for the sixth-former.
Boas, R. P., 1960,
A Primer of Real Functions
, Mathematical Association of America.
Excellent further reading.
Bolloba´ s, B. (ed.), 1986,
ittlewood
'
s Miscellany
, Cambridge University Press.
Bolzano, B., 1950,
Paradoxes of the Infinite
, Routledge and Kegan Paul.
First published posthumously in 1851; a remarkable testament to one of the finest
analytical thinkers of the period 1800
—
50.
Boyer, C. B., 1959,
The History of the Calculus
, Dover reprint of
The Concepts of the
Calculus
, 1939.
Bressound, D., 1994,
A Radical Approach to Real Analysis
, Mathematical Association of
America.
An historically inspired (1807
—
1829) and trail-blazing course, for users of the software
Mathematica
.
Bryant, V., 1990,
Yet Another Introduction to Analysis
, Cambridge University Press.
A good collection of expository ideas.
Burkill, J. C., 1960,
An Introduction to Mathematical Analysis
, CambridgeUnivrsity
Press.
A concise accessible treatment which establishes the irrationality of
in thelast
exercise of chapter 7.
Burkill, J. C. and Burkill, H., 1970,
A Second Course in Mathematical Analysis
, Cambridge
University Press.
Contains a very good introduction to uniform convergence.
Burn, R. P., 1980, Filling holes in the real line,
Math
.
Gaz
., 74, 228
—
32.
Burn, R. P., 1997,
A Pathway to Number Theory
, Cambridge University Press.
Gives the Fundamental Theory of Arithmetic in chapter 1.
L
