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James R. Newman
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The Correspondence of Walt Whitmanby Walt Whitman, Edwin H. Miller, James R. NewmanISBN 0814704395 (0-8147-0439-5)
Hardcover, New York University Press
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Godel's Proofby Walt Whitman, Edwin H. Miller, James R. NewmanISBN 0814758169 (0-8147-5816-9)
Hardcover, New York Univ Pr
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› Find signed collectible books: 'Godel's Proof'Book summary:Gödel's incompleteness theorem--which showed that any robust mathematical system contains statements that are true yet unprovable within the system--is an anomaly in 20th-century mathematics. Its conclusions are as strange as they are profound, but, unlike other recent theorems of comparable importance, grasping the main steps of the proof requires little more than high school algebra and a bit of patience. Ernest Nagel and James Newman's original text was one of the first (and best) to bring Gödel's ideas to a mass audience. With brevity and clarity, the volume described the historical context that made Gödel's theorem so paradigm-shattering. Where the first edition fell down, however, was in the guts of the proof itself; the brevity that served so well in defining the problem made their rendering of Gödel's solution so dense as to be nearly indigestible.
This reissuance of Nagel and Newman's classic has been vastly improved by the deft editing of Douglas Hofstadter, a protégé of Nagel's and himself a popularizer of Gödel's work. In the second edition, Hofstadter reworks significant sections of the book, clarifying and correcting here, adding necessary detail there. In the few instances in which his writing diverges from the spirit of the original, it is to emphasize the interplay between formal mathematical deduction and meta-mathematical reasoning--a subject explored in greater depth in Hofstadter's other delightful writings. --Clark Williams-Derry [via]
Mathematics and the Imaginationby Walt Whitman, Edwin H. Miller, James R. NewmanISBN 0486417034 (0-486-41703-4)
Softcover, Dover Pubns
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The World of Mathematicsby Walt Whitman, Edwin H. Miller, James R. NewmanISBN 0486411508 (0-486-41150-8)
Softcover, Dover Pubns
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› Find signed collectible books: 'The World of Mathematics'Book summary:Save 17% when you order the complete set! A monumental 4-volume reference, 15 years in the making, The World of Mathematics was specially designed to make mathematics more accessible to the inexperienced. It comprises non-technical essays on every aspect of the vast subject, including articles by scores of eminent mathematicians and other thinkers.[via]More editions of The World of Mathematics:
- The World of Mathematics: ISBN 0486411516 (0-486-41151-6)
Softcover, Dover Pubns - The World of Mathematics: ISBN 0486411524 (0-486-41152-4)
Softcover, Dover Pubns - The World of Mathematics: ISBN 0486411532 (0-486-41153-2)
Softcover, Dover Pubns - The World of Mathematics: ISBN 0486432688 (0-486-43268-8)
Softcover, Dover Pubns - The World of Mathematics: ISBN 0486411508 (0-486-41150-8)
Softcover, Dover Pubns
- The World of Mathematics: ISBN 0486411516 (0-486-41151-6)
The World of Mathematicsby James R. NewmanISBN 1556151403 (1-55615-140-3)
Softcover, Microsoft Press
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