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The Proof is in the Pudding: The Changing Nature of Mathematical Proof
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- ISBN
- 9780387489087
- Subject Area
- Technology & Engineering, Science, Mathematics
- Publication Name
- Proof Is in the Pudding : the Changing Nature of Mathematical Proof
- Item Length
- 10 in
- Publisher
- Springer New York
- Subject
- History & Philosophy, Life Sciences / General, General
- Publication Year
- 2011
- Type
- Textbook
- Format
- Hardcover
- Language
- English
- Item Width
- 7 in
- Item Weight
- 26 Oz
- Number of Pages
- Xvii, 264 Pages
關於產品
Product Information
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 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. 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.
Product Identifiers
Publisher
Springer New York
ISBN-10
0387489088
ISBN-13
9780387489087
eBay Product ID (ePID)
59060184
Product Key Features
Publication Name
Proof Is in the Pudding : the Changing Nature of Mathematical Proof
Format
Hardcover
Language
English
Subject
History & Philosophy, Life Sciences / General, General
Publication Year
2011
Type
Textbook
Subject Area
Technology & Engineering, Science, Mathematics
Number of Pages
Xvii, 264 Pages
Dimensions
Item Length
10 in
Item Width
7 in
Item Weight
26 Oz
Additional Product Features
LCCN
2011-928557
Intended Audience
Scholarly & Professional
Number of Volumes
1 Vol.
Lc Classification Number
Qa21-27
Reviews
"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." (Jrgen 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), From the reviews: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), From the reviews: "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) "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) "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), From the reviews: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)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)
Table of Content
1. What is a Proof and Why'.- 2. The Ancients.- 3. The Middle Ages and Calculation.- 4. The Dawn of the Modern Age.- 5. Hilbert and the Twentieth Century.- 6. The Four-Color Theorem.- 7. Computer-Generated Proofs.- 8. The Computer as a Mathematical Aid.- 9. Aspects of Mathematical Life.- 10. The Sociology of Mathematical Proof.- 11. A Legacy of Elusive Proofs.- 12. John Horgan and "The Death of Proof".- 13. Closing Thoughts.- Index of Names.- References.- Index.
Copyright Date
2011
Dewey Decimal
511.36
Dewey Edition
23
Illustrated
Yes
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物品所在地：
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