| 查看: 206 | 回复: 0 | |||
| 当前主题已经存档。 | |||
[交流]
【转贴】Fundamentals of Mathematics, Volume III: Analysis (Geometry)
|
|||
|
Fundamentals of Mathematics, Volume III: Analysis (Geometry) Publisher: The MIT Press Number Of Pages: 545 Publication Date: 1984-02-05 Sales Rank: 2432384 ISBN / ASIN: 0262520958 EAN: 9780262520959 Binding: Paperback Manufacturer: The MIT Press Studio: The MIT Press Fundamentals of Mathematics represents a new kind of mathematical publication. While excellent technical treatises have been written about specialized fields, they provide little help for the nonspecialist; and other books, some of them semipopular in nature, give an overview of mathematics while omitting some necessary details. Fundamentals of Mathematics strikes a unique balance, presenting an irreproachable treatment of specialized fields and at the same time providing a very clear view of their interrelations, a feature of great value to students, instructors, and those who use mathematics in applied and scientific endeavors. Moreover, as noted in a review of the German edition in Mathematical Reviews, the work is "designed to acquaint [the student] with modern viewpoints and developments. The articles are well illustrated and supplied with references to the literature, both current and 'classical.'" The outstanding pedagogical quality of this work was made possible only by the unique method by which it was written. There are, in general, two authors for each chapter: one a university researcher, the other a teacher of long experience in the German educational system. (In a few cases, more than two authors have collaborated.) And the whole book has been coordinated in repeated conferences, involving altogether about 150 authors and coordinators. Volume I opens with a section on mathematical foundations. It covers such topics as axiomatization, the concept of an algorithm, proofs, the theory of sets, the theory of relations, Boolean algebra, and antinomies. The closing section, on the real number system and algebra, takes up natural numbers, groups, linear algebra, polynomials, rings and ideals, the theory of numbers, algebraic extensions of a fields, complex numbers and quaternions, lattices, the theory of structure, and Zorn's lemma. Volume II begins with eight chapters on the foundations of geometry, followed by eight others on its analytic treatment. The latter include discussions of affine and Euclidean geometry, algebraic geometry, the Erlanger Program and higher geometry, group theory approaches, differential geometry, convex figures, and aspects of topology. Volume III, on analysis, covers convergence, functions, integral and measure, fundamental concepts of probability theory, alternating differential forms, complex numbers and variables, points at infinity, ordinary and partial differential equations, difference equations and definite integrals, functional analysis, real functions, and analytic number theory. An important concluding chapter examines "The Changing Structure of Modern Mathematics."Password: gigapedia.org Type: djvu Size: 3.66 MB MD5: 5fcb4ac5ea0210b83090146076d54666 http://rapidshare.com/files/41670221/0262520958.zip.html http://mihd.net/ejzbw7 [ Last edited by laizuliang on 2007-10-31 at 16:29 ] |
回复此楼» 猜你喜欢
面上再次挂了，太难了，躺也躺不了，倦也卷不过，小学校之殇！
已经有22人回复
-
2026年国自然面上资助率
已经有19人回复
-
微信指数没变化，科研之友没阅读
已经有18人回复
-
基础研究怎么拉横向，学校到款任务越来越多，难以完成 拉横向，都有哪些途径啊
已经有8人回复
-
HXDI做水性聚氨酯乳液，是不是特别容易出渣
已经有3人回复
-
系统今天又提示维护了，估计离放榜不远了
已经有15人回复
-
你们的时间戳变了吗
已经有4人回复
-
产物和副产物价值比较
已经有5人回复
-
时间戳他又来了
已经有17人回复
-
这种情况还有戏吗
已经有11人回复