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SCIENCE, MATHEMATICS and PHILOSOPHY
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Blackburn, Simon, Ed.,
Oxford Dictionary of Philosophy, 1994,
Oxford University Press
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Borowski, E. J. & Borwein, J.
M.,
HarperCollins Dictionary of Mathematics,
1991, HarperCollins ; perhaps the best dictionary of mathematics available (in
1999), but it often gives only definitions that are
too modern and therefore incomprehensible except to those way
beyond the need for the definitions of the terms in question
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Cantor, Georg,
Contributions to the Founding of the Theory of Transfinite Numbers,
1915, Dover
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Coles, Peter, Einstein
and the Total Eclipse, 1999, Icon Books UK ; a quick intro book
(only 70 small pages), but important if only because it is one of the few books
that attempts to give an accurate hand-drawn representation of what the star
displacements (for ~90 stars), recorded by Campbell and Trumper, were actually
like for the eclipse of 1922
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Dauben, Joseph Warren,
Georg Cantor - His Mathematics and Philosophy
of the Infinite, 1979, Princeton University Press ; a
fascinating look at the intellectual output of Georg Cantor, a mystic who
wanted to find — or create — God in his mathematics of infinities
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Feynman, Richard,
The Feynman Lectures on Physics, 1965,
Addison-Wesley
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Feynman, Richard,
“What Do YOU Care What Other People
Think?”,
1988-9, Bantam
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Gleiser, Marcelo, The
Dancing Universe: From Creation Myths to the Big Bang, 1998, Plume
(Penguin-Putman)
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- Hawking,
Stephen, A Brief History of Time,
1988, Bantam Doubleday Dell
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Hawkins, Michael,
Hunting Down the Universe:
The Missing Mass, Primordial Black Holes, and Other Dark Matter,
1997, Perseus Publishing
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Itō,
Kiyosi, Mathematical Society of Japan,
Encyclopedic Dictionary of Mathematics, 2nd (3rd?) Edition,
1993, MIT Press
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Kline, Morris,
Mathematical Thought - from Ancient to Modern Times,
1972, Oxford University Press
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- Körner,
S., The Philosophy of Mathematics, 1960-2, Harper Torchbooks
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- Kuhn, Thomas S.,
The Structure of Scientific Revolutions, 1960,
1972, The University of Chicago Press ; one of the classics of meta-science,
it gives insight into the mechanics of the “this,
too, shall pass” of science...
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Levine, Shaughan,
Understanding the Infinite, 1994, Harvard
University Press
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Lipschutz, Seymour,
General Topology, Schaum’s Outline Series, 1965
; the Schaum’s in
general are surprisingly good at times and disturbingly bad at others, but
they often give a reasonable picture of what is considered standard
mathematics
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Lipschutz, Seymour,
Set Theory, Schaum’s Outline Series, 1964
; see above comment on Schaum’s
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Misner, Thorne, Wheeler,
Gravitation, 1973, W. H.
Freeman and Company
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Nelson, David, Ed.,
Penguin Dictionary of Mathematics, 2nd Edition,
1998, Penguin Books
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Parker, Sybil P., Ed.,
McGraw-Hill
Dictionary of Mathematics, 1997, McGraw-Hill
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- Royden, H. L.,
Real Analysis, 1963, Macmillan
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- Spiegel, Murray R.,
Real Variables, Schaum’s Outline Series, 1969
; see above comment on Schaum’s
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Strong, James, Strong’s Exhaustive Concordance of the
Bible, currently several publishers, 1890 ; with excellent Hebrew and Greek
lexicons which give the original meanings (as understood by the
best scholars in the 1800s) of the words, and, separately and distinctly, how
the words have been translated; for example, the word translated as “created”
(as in “God created the heavens and the Earth”) did not originally mean
or suggest “created from nothing” as we modernly conceive of such things; talk
about “Revelations”!
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- Suppes, Patrick,
Axiomatic Set Theory, 1960, 1972, Dover
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