the princeton companion to mathematics

基本信息

Edited by:Timothy Gowers, June Barrow-Green, Imre Leader

Format:Hardback 1056 pages, Black-and-white illustrations throughout | Cross-references, bibliographies, index

Publisher:Princeton University Press

Imprint:Princeton University Press

ISBN:9780691118802

Published:8 Sep 2008

Weight:2738g

Dimensions:261 x 213 x 64 (mm)

页面参数仅供参考，具体以实物为准

书籍简介

适合于高等院校本科生、研究生、教师和研究人员学习和参考。虽然主要是为了数学专业的师生写的，但是，具有大学数学基础知识，更重要的是对数学有兴趣的读者，都可以从本书得到很大的收获。

由Fields奖得主T.Gowers主编、133位著名数学家共同参与撰写的大型文集，专门为本书编写近200多词条，这些词条介绍了基本的数学工具和词汇，追溯现代数学起源，解释了关键性术语和概念，重申了数学重要领域的核心思想，描述了著名数学家的贡献和成就，深层次挖掘了数学在生物、金融和音乐等领域的重要影响。本书以如此广的覆盖面具有无与伦比的深度，包括了纯数学领域最活跃和最令人兴奋的分支，提供了这个领域最关键的专业化知识背景和广阔前景，用易于接受和理解的方式承载了大量的信息，这些对于数学专业的本科生、研究生、科研人员和学者了解专业之外的知识是必不可少的。

This is a one-of-a-kind reference for anyone with a serious interest in mathematics. Edited by Timothy Gowers, a recipient of the Fields Medal, it presents nearly two hundred entries, written especially for this book by some of the world's leading mathematicians, that introduce basic mathematical tools and vocabulary; trace the development of modern mathematics; explain essential terms and concepts; examine core ideas in major areas of mathematics; describe the achievements of scores of famous mathematicians; explore the impact of mathematics on other disciplines such as biology, finance, and music--and much, much more.

Unparalleled in its depth of coverage, The Princeton Companion to Mathematics surveys the most active and exciting branches of pure mathematics. Accessible in style, this is an indispensable resource for undergraduate and graduate students in mathematics as well as for researchers and scholars seeking to understand areas outside their specialties.

Features nearly 200 entries, organized thematically and written by an international team of distinguished contributors

Presents major ideas and branches of pure mathematics in a clear, accessible style

Defines and explains important mathematical concepts, methods, theorems, and open problems

Introduces the language of mathematics and the goals of mathematical research

Covers number theory, algebra, analysis, geometry, logic, probability, and more

Traces the history and development of modern mathematics

Profiles more than ninety-five mathematicians who influenced those working today

Explores the influence of mathematics on other disciplines

Includes bibliographies, cross-references, and a comprehensive index

作者简介

Timothy Gowers is the Rouse Ball Professor of Mathematics at the University of Cambridge. He received the Fields Medal in 1998, and is the author of Mathematics: A Very Short Introduction.

June Barrow-Green is lecturer in the history of mathematics at the Open University.

Imre Leader is professor of pure mathematics at the University of Cambridge.