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Steven G. Krantz, "The Proof Is in the Pudding: The Changing Nature of Mathematical Proof "

Krantz takes the reader on a journey around the globe and through centuries of history, exploring the many transformations that mathematical proof has undergone from its inception at the time of Euclid and Pythagoras to its versatile, present-day use. The author elaborates on the beauty, challenges and metamorphisms of thought that have accompanied the search for truth through proof. The first two chapters examine the early beginnings of concept of proof and the creation of its elegant structure and language, touching on some of the logic and philosophy behind these developments. The history then unfolds as the author explains the changing face of proofs. The more well-known proofs , the mathematicians behind them, and the world that surrounded them are all highlighted. Each story has its own unique past; there was often a philosophical, sociological, technological or competitive edge that restricted or promoted progress. But the author's commentary and insights create a seamless thread throughout the many vignettes Though there are many truths to be discovered in this book, by the end it is clear that there is no formalized approach or standard method of discovery to date. This is shown in noting some of the more prominent discussions currently underway, such as Gorenstein's effort to classify finance groups, Thomas Hale's resolution of the Kepler sphere-packing problem, and other modern tales. Most of the proofs are discussed in detail with figures and some equations accompanying them, allowing both the professional mathematician and those less familiar with mathematics to derive the same joy from reading this book.

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	Science/Engineering 100% Mathematical Proof Rowan Garnier / John Taylor, ?100% Mathematical Proof?John Wiley & Sons Ltd (Import) \| ISBN 0471961981 \| 1996-07 \| 326 pages\| djvu \| 6.5 Mb Proof has been and remains one of the concepts which characterises mathematics. Covering basic propo ...
	Science/Engineering Applied Proof Theory: Proof Interpretations and their Use in Mathematics (Springer Monographs in Mathematics) Applied Proof Theory: Proof Interpretations and their Use in Mathematics (Springer Monographs in Mathematics)Springer \| Pages: 536\| 2008-06\| ISBN: 3540775323\| 3 MBThis is the first treatment in book format of proof-theoretic transformations ...
	An Introduction to Mathematical Logic and Type Theory: To Truth Through Proof Peter B. Andrews“An Introduction to Mathematical Logic and Type Theory: To Truth Through Proof" Academic Press \| 1986-05 \| ISBN: 0120585359 \| 304 pages \| PDF \| 25,7 MB
	Science/Engineering Reductive Logic and Proof-search: Proof Theory, Semantics, and Control David J. Pym, Eike Ritter, "Reductive Logic and Proof-search: Proof Theory, Semantics, and Control " Oxford University Press, USA \| 2004 \| ISBN: 0198526334 \| 232 pages \| PDF \| 2,1 MB This book is a specialized monograph on the developme ...
	Science/Engineering Applied Proof Theory: Proof Interpretations and their Use in Mathematics (repost) U. Kohlenbach, "Applied Proof Theory: Proof Interpretations and their Use in Mathematics" Springer \| 2008 \| ISBN: 3540775323 \| 536 pages \| PDF \| 3,2 MB This is the first treatment in book format of proof-theoretic transformations -- kno ...
	Science/Engineering The Moment of Proof: Mathematical Epiphanies The Moment of Proof: Mathematical EpiphaniesPublisher: Oxford University Press, USA (March 25, 1999) \| ISBN-10: 0195117212 \| 352 pages \| DjVu \| 1.96 MBBenson, a retired mathematics professor, is trying for something a bit different from the ...

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