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INFINITY
REFERENCES

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These are references for a class I teach called "Infinity and Beyond."
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Barrow, John D.  Pi in the Sky.  Clarendon Press, 1992.

Barrow, John D.  Theories of Everything: The Quest for Ultimate 
Explanation.  Fawcett Columbine, 1991.

Bolzano, Bernhard.  Paradoxes of the Infinite.  Translated from 
German by Fr. Prihonsky and furnished with a historical introduction 
by Donald A. Steele.  Routledge and Kegan Paul, 1950.

Boyer, C.B.  A History of Mathematics.  John Wiley & Sons, Inc., 1968.  

Dauben, Joseph Warren.  Georg Cantor: His Mathematics and 
Philosophy of the Infinite.  Princeton University Press, 1979.

Dauben, Joseph W.  Georg Cantor and the Origins of Transfinite Set 
Theory.  Scientific American June 1983: 122-131.

Davies, Paul.  The Edge of Infinity: Where the Universe Came From and 
How It Will End.  Simon Schuster, 1981.

Davies, Paul.  God and the New Physics.  Simon and Schuster, 1983.

Edwards, C.H., Jr.  The Historical Development of the Calculus.  
Springer-Verlag, 1979.

Eves, Howard.  An Introduction to the History of Mathematics.  
Rinehart and Company, Inc., 1953.

Falletta, Nicholas.  The Paradoxicon.  John Wiley & Sons, Inc., 1983.

Gamow, George.  One Two Three . . . Infinity: Facts and Speculations of 
Science.  The New American Library, 1953.

Guillen, Michael.  Bridges to Infinity: The Human Side of Mathematics.  
Jeremy P. Tarcher, Inc., 1983.

Kasner, Edward and James R. Newman.  Mathematics and the 
Imagination.  Tempus, 1989.  Originally Simon and Schuster, 1940.

Kaufman, F.  The Infinite in Mathematics.  D. Reidel, 1980.  

Kramer, Edna E..  The Nature and Growth of Modern Mathematics.  
Princeton University Press, 1981.

Lieber, Lillian R..  Infinity: Beyond the Beyond the Beyond.  Holt, 
Rinehart and Winston, 1953.  

Maor, Eli.  To Infinity and Beyond: A Cultural History of the Infinite.  
Princeton University Press, 1987.

Owen, H. P.  Infinity in Theology and Metaphysics.  In The 
Encyclopedia of Philosophy.  Macmillan Publishing Co., Inc. & The 
Free Press, 1967.

Péter, Rózsa.  Playing with Infinity: Mathematics for Everyman.  
Translated from Hungarian by Z. P. Dienes.  Simon and Schuster, 
1962.

Rucker, Rudy.  Mind Tools: The Five Levels of Mathematical Reality.  
Houghton Mifflin Company, 1987.

Rucker, Rudy.  Infinity and the Mind: The Science and Philosophy of 
the Infinite.  Birkhäuser, 1982.

Salmon, Wesley C., ed.  Zeno's Paradoxes.  Bobbs-Merrill, 1970.

Schroeder, Manfred.  Fractals, Chaos, Power Laws: Minutes from an 
Infinite Paradise.  W. H. Freeman and Company, 1991.

Sondheimer, Ernst and Alan Rogerson.  Numbers and Infinity: A 
Historical Account of Mathematical Concepts.  Cambridge 
University Press, 1981.

Thomson, James.  Infinity in Mathematics and Logic.  In The 
Encyclopedia of Philosophy.  Macmillan Publishing Co., Inc. & The 
Free Press, 1967.

Zippin, Leo.  Uses of Infinity.  Random House, 1962.

 
 

 

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