The wild world of 4-manifolds 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024

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A.Scorpan 作者

American Mathematical Society

譯者

2005-5-10 出版日期

609 頁數

623.8 價格

叢書系列

9780821837498 圖書編碼

The wild world of 4-manifolds 在線電子書圖書標籤: 數學 4-manifold 流形 Mathematics 經典微分拓撲7 topology math

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發表於2024-11-14

The wild world of 4-manifolds 在線電子書 epub 下載 mobi 下載 pdf 下載 txt 下載 2024

The wild world of 4-manifolds 在線電子書 epub 下載 pdf 下載 mobi 下載 txt 下載 2024

The wild world of 4-manifolds 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024

The wild world of 4-manifolds 在線電子書用戶評價

評分☆☆☆☆☆

這纔是真正的科普書

評分☆☆☆☆☆

這纔是真正的科普書

評分☆☆☆☆☆

這纔是真正的科普書

評分☆☆☆☆☆

這纔是真正的科普書

評分☆☆☆☆☆

這纔是真正的科普書

The wild world of 4-manifolds 在線電子書著者簡介

The wild world of 4-manifolds 在線電子書 pdf 下載 txt下載 epub 下載 mobi 在線電子書下載

The wild world of 4-manifolds 在線電子書圖書描述

This is a panorama of the topology of simply-connected smooth manifolds of dimension four.

Dimension four is unlike any other dimension; it is large enough to have room for wild things to happen, but too small to have room to undo them. For example, only manifolds of dimension four can exhibit infinitely many distinct smooth structures. Indeed, their topology remains the least understood today.

The first part of the book puts things in context with a survey of higher dimensions and of topological 4-manifolds. The second part investigates the main invariant of a 4-manifold--the intersection form--and its interaction with the topology of the manifold. The third part reviews complex surfaces as an important source of examples. The fourth and final part of the book presents gauge theory. This differential-geometric method has brought to light the unwieldy nature of smooth 4-manifolds; and although the method brings new insights, it has raised more questions than answers.

The structure of the book is modular and organized into a main track of approximately 200 pages, which are augmented with copious notes at the end of each chapter, presenting many extra details, proofs, and developments. To help the reader, the text is peppered with over 250 illustrations and has an extensive index.

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