| 查看: 553 | 回复: 1 | ||
| 【奖励】 本帖被评价1次，作者conanwj增加金币 1 个 | ||
[资源]
【分享】Mathematical Fallacies and Paradoxes.Dover.1982【已搜无重复】
|
||
|
Mathematical Fallacies and Paradoxes 免责声明 本资源来自于互联网，仅供网络测试之用，请务必在下载后24小时内删除！所有资源不涉及任何商业用途。发帖人不承担由下载使用者引发的一切法律责任及连带责任！ 著作权归原作者或出版社所有。未经发贴人conanwj许可，严禁任何人以任何形式转贴本文，违者必究！ 如果本帖侵犯您的著作权，请与conanwj联系，收到通知后我们将立即删除此帖！ Authors(Editors): Bryan Bunch Publisher: Dover Pub Date: 1982 Pages: 224 ISBN: 0-486-29664-4 Preface This book is a collection and analysis of the most interesting paradoxes and fallacies from mathematics, logic, physics, and language. It also treats important results in mathematics that are based in paradox, notably GOdel's theorem of 1931 and decision problems in general. The material is arranged so that the rather tenuous relationship between mathematical reality and physical reality becomes the subject of the book, while the paradoxes and fallacies are tools for exploring this relationship. As a result, although the material contains a number of topics that are often presented in an anthology format, there is a definite progression from the first chapter to the eighth. It is possible, however, to read most of the individual paradoxes or fallacies in whatever order takes one's fancy. The first three chapters are largely concerned with examples that today are generally classed as fallacies. As such, they have specific defects in the mathematics, defects upon which all mathematicians are in agreement. It seems appropriate to encourage the reader to try finding those defects. Therefore, I stop at a point where the presentation of the fallacy is complete and ask: Can You Find the Flaw? I also provide a hint. The remaining chapters deal with topics for which there is no single, accepted explanation, so this feature is dropped in Chapters 4 through 8. I assume throughout that the reader has some experience with the content of first-year high-school algebra. A few of the results also draw upon parts of high-school geometry. Any mathematics that is needed beyond these levels is developed as a topic in the body of the book. This includes a brief introduction to the basic ideas of complex numbers in Chapter I; mathematical indu~tion, the notion of the limit of a series, and some ideas from probability in Chapter 2; indirect proof in Chapter 3; and elementary set theory in Chapter 5. These are all necessary to a complete understanding of many of the paradoxes. Even so, there are some mathematical complexities that I have omitted deliberately. For example, the discussion of Godel's incompleteness theorem is necessarily simplified (even the type of incompleteness to which it applies is omitted), as is the analysis of special relativity. These simplifications in no way affect the results stated. In a few cases, it has seemed better to state results without proof, rather than to become bogged down in lengthy and difficult mathematical development. I wish to express my gratitude to Dr. Phillip S. Jones of the University of Michigan for his thoughtful comments on much of the material in the manuscript; and to my wife, Mary, for retyping the whole manuscript, as well as for her help and support in so many other ways. Briarcliff Manor, NY B.H.B. 本资源共7个可选网络硬盘链接，8.67 MB。 -------------------------------------------------------------------------------------------------------- https://rapidshare.com/files/358 ... Dover.p224.1997.rar https://uploading.com/files/763c ... over.p224.1997.rar/ https://www.easy-share.com/1909448054/Mathematical Fallacies and Paradoxes.Dover.p224.1997.rar https://depositfiles.com/files/uqrfhjoew https://www.sendspace.com/file/iusne7 -------------------------------------------------------------------------------------------------------- [ Last edited by javeey on 2010-5-6 at 20:25 ] |
回复此楼» 猜你喜欢
302求调剂一志愿华中师范大学
已经有8人回复
-
338求调剂
已经有6人回复
-
化学调剂
已经有12人回复
-
342求调剂
已经有5人回复
-
0835学硕299求调剂 08大类可接受
已经有4人回复
-
085602调剂 初试总分335
已经有3人回复
-
288环境专硕,求调材料方向
已经有5人回复
-
申博
已经有5人回复
-
081200-11408-276学硕求调剂
已经有5人回复
-
085600调剂
已经有4人回复
» 本主题相关价值贴推荐，对您同样有帮助:
- monthly ，twice monthly and weekly
已经有11人回复
- RSC的杂志，拒稿重投（reject and resubmssion）还需要回复审稿人意见吗？
已经有6人回复
- 2012 International Conference on Ecology, Waste Recycling, and Environment (ICEW
已经有3人回复
- The 2012 Story: The Myths, Fallacies, and Truth Behind the Most Intriguing Date
已经有5人回复
- 关于Journal of Mathematical Analysis and Applications 的投稿问题
已经有28人回复
- 求助：Materials Chemistry and Physics的word 模板
已经有5人回复
- Journal of Pharmaceutical and Biomedical Analysis投稿求助
已经有9人回复
- 【资源】Standard Handbook of Petroleum and Natural Gas Engin
已经有3人回复
- Applied Microbiology and Biotechnology期刊好快 一天就under review
已经有10人回复
- 评论性论文被materials and design接收
已经有28人回复
2楼2010-05-08 07:39:36
