Bibliography

1

Tom M. Apostol.
Calculus, volume I.
John Wiley & Sons, Inc., second edition, 1967.
QA300 .A5726 1967 v.1.

2

Archimedes.
The Works of Archimedes Edited in Modern Notation with Introductory Chapters by T. L. Heath.
Dover Publications, 195?
QA31 .A692.

3

V. I. Arnold and A. Avez.
Ergodic Problems of Classical Mechanics.
Benjamin, 1968.
QA845 .A713.

4

Aristotle.
The Works of Aristotle Translated into English under the Editorship of W. D. Ross: Analytica Priora.
Oxford University Press, 1952.
B407.R83 1952 v1.

5

Aristotle.
Aristotle's Metaphysics Translated with Commentaries and Glossary by Hippocrates G. Apostle.
Indiana University Press, 1966.
B434 A5A6.

6

Emil Artin and Otto Schreier.
Algebraische konstruction reeler Körper.
In Collected Papers of Emil Artin, pages 258-272. Springer-Verlag, 1982.
QA7 .A68 1982.

7

Paul Bencerraf and Hilary Putnam, editors.
Philosophy of Mathematics.
Cambridge University Press, 1983.
QA8.4 .P48 1983.

8

Jacob Bernoulli.
Die Werke Von Jacob Bernoulli, volume 3.
Birkäuser Verlag Basel, 1975.
QA3 B52 1969 v.3.

9

Evert Willem Beth.
The foundations of mathematics; a study in the philosophy of science.
North-Holland Pub.Co, 1959.
QA9 .B5153.

10

Errett Bishop.
Schizophrenia in contemporary mathematics.
In Murray Rosenblatt, editor, Errett Bishop: Reflections on Him and His Research, pages 1-32. American Mathematical Society, 1985.
QA326 .E75 1985.

11

George Boole.
An investigaton of the Laws of Thought on which are founded the mathematical theories of logic and probabilities.
Dover Publications, 1951.
BC135 B6 1951.

12

R. Creighton Buck.
Advanced Calculus.
McGraw Hill, third edition, 1978.
QA303 .B917 1978.

13

Joe Buhler.
Real and complex numbers, series, and functions.
Technical report, Reed College Mathematics Department, 1998.

14

Florian Cajori.
A History of Mathematics.
Macmillan, 1913.
QA21 .C13.

15

Florian Cajori.
A History of Mathematical Notations(Two volumes bound as one).
Dover Publications, 1993.
QA41 .C32 1993.

16

Girolamo Cardano.
Ars Magna or The Rules of Algebra Translated and Edited by T. Richard Witmer.
Dover Publications, 1993.
QA154.8.C3713 1993.

17

Richard Courant and Herbert Robbins.
What is Mathematics? An elementary approach to ideas and methods.
Oxford University Press, 1941.
QA37 .C675 1941.

18

Leonard Eugene Dickson.
Definition of a group and a field by independent postulates.
Transactions of the American Mathematical Society, 6:198-204, 1905.

19

Euclid.
Euclid's Elements Translated with Introduction and Commentary by Sir Thomas L. Heath (3 volumes).
Dover Publications, 1956.
QA31 .E875 1956.

20

Leonard Euler.
Elements of Algebra Translated by Rev. John Hewlett, B.D. F.A.S. &c.
Springer-Verlag, 1984.
QA154.E813 1984.

21

Carl Friedrich Gauss.
Disquisitiones Arithmeticae - English Translation by Arthur A Clarke.
Yale University Press, 1966.
QA241 .G2613.

22

Herman H. Goldstine.
A History of Numerical Analysis from the 16th through the 19th Century.
Springer-Verlag, 1977.
QA297 .G64.

23

Judith V. Grabiner.
The Origins of Cauchy's Rigorous Calculus.
MIT Press, 1981.

24

William Rowen Hamilton.
On a new species of imaginary quantities connected with the theory of quaternions.
In The Mathematical Papers of Sir William Rowan Hamilton, volume III, pages 111-116. Cambridge University Press, 1967.
QA3 .H269 v.3.

25

William Rowen Hamilton.
Theory of conjugate functions or algebraic couples; with a preliminary and elementary essay on algebra as the science of pure time.
In The Mathematical Papers of Sir William Rowan Hamilton, volume III, pages 3-96. Cambridge University Press, 1967.
QA3 .H269 v.3.

26

Sir Thomas Heath.
Mathematics in Aristotle.
Oxford University Press, 1949.
QA31 A95H4.

27

Leon Henkin.
On mathematical induction.
American Mathematical Monthly, 67:323-338, 1960.

28

Edward V. Huntington.
Complete sets of postulates for the theory of real quantities.
Transactions of the American Mathematical Society, 4:358-370, 1903.

29

Edward V. Huntington.
Definitions of a field by sets of independent postulates.
Transactions of the American Mathematical Society, 4:31-37, 1903.

30

George Gheverghese Joseph.
The Crest of the Peacock : Non-European Roots of Mathematics.
I.B. Tauris, 1991.
QA21 .G53 1991.

31

Morris Kline.
Mathematical Thought from Ancient to Modern Times.
Oxford University Press, 1972.
QA21 .53.

32

Helge von Koch.
Une méthod géometrique Élémentaire pour l'Étude de certaines questiones de la théorie des courbes planes.
Acta Mathematica, 30:145-174, 1906.

33

Herbert Mehrtens.
Ludwig Bieberbach and ``deutsche mathematik''.
In Esther Phillips, editor, Studies in the History of Mathematics, pages 195-241. Mathematical Association of America, 1987.
QA21.S92 1987

34

Jan Mycielski.
How to teach limits and continuity.
Letters to the Editor, Notices of the American Mathematical Society, page 569, May 1998.

35

John M. H. Olmsted.
The Real Number System.
Appleton-Century-Crofts, 1962.
QA255 .O43.

36

Blaise Pascal.
Treatise on the arithmetic triangle.
In A Source Book in Mathematics, pages 67-79. Dover Publications, 1969.
QA3.S66 1959.

37

Giuseppe Peano.
The principles of arithmetic presented by a new method.
In From Frege to Godel; a source book in mathematical logic, 1879-1931, pages 83-97. Harvard Unibersity Press, 1967.
QA9 .V3.

38

Plato.
Great Dialogues of Plato, Translated by W. D. Rouse, edited by Eric H. Warmington and Philip G. Rouse.
New American Library, 1956.

39

Plato.
The Laws: Translated with an Introduction by Trevor J. Saunders.
Penguin Books, 1970.
B358 .R6.

40

Helena M. Pycior.
Symbols, Impossible Numbers, and Geometric Entanglements.
Cambridge University Press, 1997.
QA151.P94 1997.

41

Alain Robert.
Nonstandard Analysis.
John Wiley & Sons, Inc, 1988.
QA299.82 .R5813 1988.

42

S. B. Russ.
A translation of Bolzano's paper on the intermediate value theorem.
Historia Mathematica, 7:156-185, 1980.

43

Bertrand Russell.
Principles of mathematics.
W. W. Norton & Company, second edition, 1943.
QA9 .R88 1943.

44

David Singmaster.
An elementary evaluation of the Catalan numbers.
American Mathematical Monthly, 85:366-368, 1978.

45

David Eugene Smith.
History of Mathematics, volume II.
Dover Publications, 1958.
QA21 .S62 1958 v.2.

46

David Eugene Smith, editor.
A Source Book in Mathematics.
Dover Publications, 1959.
QA3 .S66 1959.

47

Michael Spivak.
Calculus.
Publish or Perish, Inc., third edition, 1994.
QA303 .S761c, 1994.

48

H. Weber.
Die allgemeinen Grundlagen der Galois'schen Gleicheungstheorie.
Mathematische Annalen, 43:521-549, 1893.