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Every Planar Map is Four Colorable
In this volume, the authors present their 1972 proof of the celebrated Four Color Theorem in a detailed but self-contained exposition accessible to a general mathematical audience. An emended version of the authors' proof of the theorem, the book contains the full text of the supplements and checklists, which originally appeared on microfiche. The thiry-page introduction, intended for nonspecialists, provides some historical background of the theorem and details of the authors' proof. In addition, the authors have added an appendix which treats in much greater detail the argument for situations in which reducible configurations are immersed rather than embedded in triangulations. This result leads to a proof that four coloring can be accomplished in polynomial time.
Author-title Catalog
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Chromatic Graph Theory
Beginning with the origin of the four color problem in 1852, the field of graph colorings has developed into one of the most popular areas of graph theory. Introducing graph theory with a coloring theme, Chromatic Graph Theory explores connections between major topics in graph theory and graph colorings as well as emerging topics. This self-contain
Report
Issues for 1930/1931- include Report of the Institute of the Pennsylvania Hospital.
Mechanizing Proof
Most aspects of our private and social lives—our safety, the integrity of the financial system, the functioning of utilities and other services, and national security—now depend on computing. But how can we know that this computing is trustworthy? In Mechanizing Proof, Donald MacKenzie addresses this key issue by investigating the interrelations of computing, risk, and mathematical proof over the last half century from the perspectives of history and sociology. His discussion draws on the technical literature of computer science and artificial intelligence and on extensive interviews with participants. MacKenzie argues that our culture now contains two ideals of proof: proof as tradition...
American Madness
The world of the American alienist, 1896 -- Adolf Meyer brings dementia praecox to America -- Emil Kraepelin -- The American reception of dementia praecox and manic depressive insanity, 1896-1905 -- The lost biological psychiatry -- The rise of the mind-twist men, 1903-1913 -- Bayard Taylor Holmes and radically rational treatments -- The rise of schizophrenia in America, 1912-1927.
