The Proof is in the Pudding

The Changing Nature of Mathematical Proof

Steven G. Krantz

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English

see SPRINV SPRINP
07 July 2011

Mathematics & Sciences; Mathematical logic; History of mathematics

This text explores the many transformations that the mathematical proof has undergone from its inception to its versatile, present-day use, considering the advent of high-speed computing machines. 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. Most of the proofs are discussed in detail with figures and equations accompanying them, allowing both the professional mathematician and those less familiar with mathematics to derive the same joy from reading this book.

By: Steven G. Krantz
Imprint: see SPRINV SPRINP
Country of Publication: United States
Dimensions: Height: 254mm, Width: 178mm, Spine: 28mm
Weight: 736g
ISBN: 9780387489087
ISBN 10: 0387489088
Pages: 281
Publication Date: 07 July 2011
Audience: Professional and scholarly , Undergraduate
Format: Paperback
Publisher's Status: Active

Steven Krantz is a well-known Springer author. He has written nine books with Springer (1-931914-59-1, 0-8176-4339-7, 0-8176-4011-8, 0-8176-4339-7, 0-8176-4220-X, 0-8176-4097-5, 1-930190-87-5, 0-8176-4264-1, 0-8176-4285-4 ) with sales accumulating almost $130,000 in North America. Prof. Krantz is the editor-in-chief of the society journal (published in cooperation with Springer) The Journal of Geometric Analysis and is also the present editor-in-chief of the AMS Notices. The Proof is in the Pudding, is the first of its kind. It details the history of the proof from its beginnings to its place in present-day mathematics. (This was presented as a hot topic in an article in the Notices of the AMS.)

Reviews for The Proof is in the Pudding: The Changing Nature of Mathematical Proof

This book is to describe the essence, nature, and methodology of mathematical proof, with a strong emphasis on the change of these concepts in time. ... It is written in a very clear and suggestive manner that makes the reading pleasant and rewarding ... . Any reader will notice that the author has reached this goal in very convincing way, and the outcome is a brilliant work which should be found in every math library and department office. (Jurgen Appell, zbMATH 1318.00005, 2015) In this book Steven Krantz undertakes the Miltonic task of justifying the ways of (pure) mathematicians to the world at large. ... The concept of mathematical proof is at the heart of Krantz's book. ... mathematicians should find the book interesting, illuminating, provocative ... . (J. M. Plotkin, Mathematical Reviews, Issue 2012 b) The author traces the development of the idea of proof from Euclid through computer-aided and computer-generated proofs, pointing out the way some current social trends in mathematics affect the construction of nonstandard proofs. ... This work provides good outside class reading for students--and not just mathematics majors; one could easily imagine this as a supplement to courses on the history or philosophy of science. Summing Up: Recommended. Lower-division undergraduates through researchers/faculty; general readers. (D. Robbins, Choice, Vol. 49 (2), October, 2011) Krantz's book is entertaining, can be read by the early undergraduate and puts forward some serious issues. There are few math books that are useful and valuable reading for all mathematicians, but this is one of them. (Charles Ashbacher, The Mathematical Association of America, June, 2011)