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Putnam and Beyond|Mathematics 帕特南和在远处ポトは南でおよび遠い所にあます数学 - Data 数学专业资料学术交流

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Putnam and Beyond

By Razvan Gelca, Titu Andreescu,

Publisher:   Springer
Number Of Pages:   808
Publication Date:   2007-07
Sales Rank:   11232
ISBN / ASIN:   0387257659
EAN:   9780387257655
Binding:   Paperback
Manufacturer:   Springer
Studio:   Springer

Putnam and Beyond takes the reader on a journey through the world of college mathematics, focusing on some of the most important concepts and results in the theories of polynomials, linear algebra, real analysis in one and several variables, differential equations, coordinate geometry, trigonometry, elementary number theory, combinatorics, and probability. Using the W.L. Putnam Mathematical Competition for undergraduates as an inspiring symbol to build an appropriate math background for graduate studies in pure or applied mathematics, the reader is eased into transitioning from problem-solving at the high school level to the university and beyond, that is, to mathematical research.

Key features of Putnam and Beyond

* Preliminary material provides an overview of common methods of proof: argument by contradiction, mathematical induction, pigeonhole principle, ordered sets, and invariants.

* Each chapter systematically presents a single subject within which problems are clustered in every section according to the specific topic.

* The exposition is driven by more than 1100 problems and examples chosen from numerous sources from around the world; many original contributions come from the authors.

* Complete solutions to all problems are given at the end of the book. The source, author, and historical background are cited whenever possible.

This work may be used as a study guide for the Putnam exam, as a text for many different problem-solving courses, and as a source of problems for standard courses in undergraduate mathematics. Putnam and Beyond is organized for self-study by undergraduate and graduate students, as well as teachers and researchers in the physical sciences who wish to to expand their mathematical horizons.

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帕特南和在远处ポトは南でおよび遠い所にあます

通过Razvan Gelca，Titu Andreescu，

出版商：斯普林格
页的数量： 808
出版日期： 2007-07
销售职位： 11232
ISBN / ASIN： 0387257659
EAN： 9780387257655
捆：平装书
制造商：斯普林格
工作室：斯普林格

帕特南和在以外通过世界的学院与读者较量旅行数学，集中于一些最重要的概念并且导致多项式的理论，线性代数，在1 和几个变量，微分方程，同等的几何学，三角学，初步数论，组合论和可能性的真正的分析。作为建造一适当数学背景资料给研究生学习在纯或者使用的数学方面的一个使用W.L.帕特南数学竞争给大学生鼓舞的符号，从在中学步在大学解决问题和在远处读者进transitioning 缓和，即，对数学研究。

帕特南的关键特征和在远处

*初步的材料提供证据的共同方法的概述：以矛盾，数学归纳法，文件分类架原则，有序集合和不变量的辩论。

*每章有系统提出问题是的一个单个的主题根据具体的题目在每个部分里丛生。

*从来自全世界的许多来源中选择，展览被超过1100个问题和榜样驱赶；很多原先的捐款来自那些作者。

*完整的解决全部问题的方法在书的末尾被给。来源，作者和历史背景被任何可能的情况下引用。

这工作可以被用作帕特南考试的一种自学辅导，作为很多不同的解决问题的课程的一份正文，和作为标准大学生数学课的一个问题的来源。帕特南和在远处被用于本科生和研究生的自学组织，以及教师和研究人员在谁希望扩大他们的数学地平线的自然科学内。

http://mihd.net/v0uefi

http://mihd.net/jcvxbd

http://rapidshare.com/files/48468795/Putnam.rar.html

ポトは南でおよび遠い所にあます

Razvan Gelcaを通じる Titu Andreescu ,

ステ-ショナ-　この普遍的なりんジョ-ジァ