Lectures on Surfaces 2024 pdf epub mobi 電子書 下載


Lectures on Surfaces

簡體網頁||繁體網頁

Lectures on Surfaces pdf epub mobi 著者簡介

Anatole Katok: Pennsylvania State University, University Park, PA,

Vaughn Climenhaga: Pennsylvania State University, University Park, PA


Lectures on Surfaces pdf epub mobi 圖書描述

Surfaces are among the most common and easily visualized mathematical objects, and their study brings into focus fundamental ideas, concepts, and methods from geometry, topology, complex analysis, Morse theory, and group theory. At the same time, many of those notions appear in a technically simpler and more graphic form than in their general “natural” settings.

The first, primarily expository, chapter introduces many of the principal actors—the round sphere, flat torus, Möbius strip, Klein bottle, elliptic plane, etc.—as well as various methods of describing surfaces, beginning with the traditional representation by equations in three-dimensional space, proceeding to parametric representation, and also introducing the less intuitive, but central for our purposes, representation as factor spaces. It concludes with a preliminary discussion of the metric geometry of surfaces, and the associated isometry groups. Subsequent chapters introduce fundamental mathematical structures—topological, combinatorial (piecewise linear), smooth, Riemannian (metric), and complex—in the specific context of surfaces.

The focal point of the book is the Euler characteristic, which appears in many different guises and ties together concepts from combinatorics, algebraic topology, Morse theory, ordinary differential equations, and Riemannian geometry. The repeated appearance of the Euler characteristic provides both a unifying theme and a powerful illustration of the notion of an invariant in all those theories.

The assumed background is the standard calculus sequence, some linear algebra, and rudiments of ODE and real analysis. All notions are introduced and discussed, and virtually all results proved, based on this background.

This book is a result of the MASS course in geometry in the fall semester of 2007.

Lectures on Surfaces 2024 pdf epub mobi 電子書 下載

Lectures on Surfaces pdf epub mobi 圖書目錄




點擊這裡下載
    


想要找書就要到 本本書屋
立刻按 ctrl+D收藏本頁
你會得到大驚喜!!

發表於2024-12-26

Lectures on Surfaces 2024 pdf epub mobi 電子書 下載

Lectures on Surfaces 2024 pdf epub mobi 電子書 下載

Lectures on Surfaces 2024 pdf epub mobi 電子書 下載



喜欢 Lectures on Surfaces 電子書 的读者还喜欢


Lectures on Surfaces pdf epub mobi 讀後感

評分

評分

評分

評分

評分

類似圖書 點擊查看全場最低價
出版者:American Mathematical Society
作者:Katok, Anatole/ Climenhaga, Vaughn
出品人:
頁數:286
譯者:
出版時間:2008
價格:428.00元
裝幀:
isbn號碼:9780821846797
叢書系列:Student Mathematical Library

圖書標籤: 幾何   


Lectures on Surfaces 2024 pdf epub mobi 電子書 下載
想要找書就要到 本本書屋
立刻按 ctrl+D收藏本頁
你會得到大驚喜!!

Lectures on Surfaces pdf epub mobi 用戶評價

評分

評分

評分

評分

評分

Lectures on Surfaces 2024 pdf epub mobi 電子書 下載


分享鏈接





相關圖書




本站所有內容均為互聯網搜索引擎提供的公開搜索信息,本站不存儲任何數據與內容,任何內容與數據均與本站無關,如有需要請聯繫相關搜索引擎包括但不限於百度google,bing,sogou

友情鏈接

© 2024 onlinetoolsland.com All Rights Reserved. 本本書屋 版權所有