Graphics Reference
In-Depth Information
Hardy, G. H. and Wright, E. M., 1960,
An Introduction to the Theory of Numbers
, Oxford
University Press.
The standard reference on number theory. Contains a full discussion of decimals in
chapter 9.
Hart, F. M., 1988,
Guide to Analysis
, Macmillan.
A first course with many answers worked out in full.
Hauchart, C. and Rouche, N., 1987,
Apprivoiser l
'
Infini
, Ciaco.
A thesis on the beginnings of analysis in the secondary school.
Heath, T. L. (trans.), 1956,
The thirteen topics of Euclid
'
s Elements
, Dover.
Heijenoort, J. van, 1967,
From Frege to Go¨ del
, Harvard University Press.
Historical sourcematrial.
Hemmings, R. and Tahta, D., 1984,
Images of Infinity
, Leapfrogs
—
Tarquin.
A rich stimulus to the intuition. Ideal for a sixth-former.
Hight, D. W., 1977,
A Concept of Limits
, Dover.
Unique for its geometrical illustrations of limits.
Ivanov, O. A., 1998,
Easy as
?, Springer.
Kazarinoff, N. D., 1961,
Analytic Inequalities
, Holt, Rinehart and Winston.
Suitablefor a sixth-formr.
Klambauer, G., 1979,
Problems and Propositions in Analysis
, Marcel Dekker.
For the lecturer's bookshelf: substantial problems with solutions.
Klein, F., 1924,
Elementary Mathematics from an Advanced Standpoint
. Part I.
Arithmetic
,
Algebra and Analysis
, 3rd edition trans. E. R. Hedrick and C. A. Noble, Dover reprint.
Contains an interesting discussion of the elementary functions and proofs of the
transcendence of e and
.
Knopp, K., 1928,
Theory and application of Infinite Series
, Blackie. Dover reprint.
Thorough, humane and with a wealth of historical reference.
Kopp, P. E., 1996,
Analysis
, Arnold.
Ko¨ rner, T. W., 1991, Differentiable functions on the rationals.
Bull
.
L
ond
.
Math
.
Soc
. 23,
557
—
62.
Korovkin, P. P., 1961,
Inequalities
, Pergamon Press (contained in
Popular
L
ectures in
Mathematics
, vols 1
—
6, trans. H. Moss).
Very good for sixth-formers.
Landau, E., 1960,
Foundations of Analysis
, Chelsea, New York.
First published in German 1930; this was the first published account of the
development of the number system from the Peano Postulates to Dedekind sections
for undergraduates.
Leavitt, T. C. J., 1967,
Limits and Continuity
, McGraw-Hill.
Useful diagrams for beginners, a partly programmed text.
Ledermann, W. and Weir, A. J., 1996,
Introduction to Group Theory
(2nd edition),
Addison-Wesley.
The appendix contains a proof of the equivalence of induction and well-ordering.
Levi, H., 1961,
Elements of Algebra
, Chelsea, New York.
The number system developed from notions of cardinality.
Lieber, L. P., 1953,
Infinity
, Holt, Rinehart and Winston.
An artistic and poetic education for the mathematical intuition.
Moise, E. E., 1982,
Introductory Problem Courses in Analysis and Topology
, Springer.
Nelsen, R. B., 1993,
Proofs without words
, Mathematical Association of America.
Particularly interesting on series.
