莫爾斯理論

莫爾斯理論 pdf epub mobi txt 電子書 下載 2025

米爾諾(J.Milnor) 著
圖書標籤:
  • 莫爾斯理論
  • 同倫理論
  • 代數拓撲
  • 代數幾何
  • 層論
  • 譜序列
  • 範疇論
  • 代數
  • 數學
  • 抽象代數
想要找書就要到 新城書站
立刻按 ctrl+D收藏本頁
你會得到大驚喜!!
齣版社: 世界圖書齣版公司
ISBN:9787510037481
版次:1
商品編碼:10914296
包裝:平裝
開本:24開
齣版時間:2011-07-01
頁數:153
正文語種:英文

具體描述

內容簡介

This book gives a present-day account of Marston Morse's theory of the calculus of variations in the large. However, there have been Im-portant developments during the past few years which are not mentioned.Let me describe three of these.

內頁插圖

目錄

PREFACE
PART 1 NON-DEGENERATE SMOOTH FUNCTIONS ON A MANIFOLD
Introduction
Definitions and Lenmms
Homotopy Type in TeRns of Critical Values
Examples
The Morse Inequalities
Manifolds in Euclidean Space: The Existence of Non-degenerate Functions
The Lefschetz Theorem on Hyperplane Sections

PART 2 A RAPID COURSE IN RIEMANNIAN GEOMETRY
Covariant Differentiation
The Curvature Tensor
Geodesics and Completeness

PART 3 THE CALCULUS OF VARIATIONS APPLIED TO GEODESICS
The Path Space of a Smooth Manifold
The Fnergy of a Path
The Hessian of the Energy Function at a Critical Path
Jacobi Fields: The Null-space of E**
The Index Theorem
A Finite Dimensional Approximation to nc
The Topology of the Full Path Space
Existence of Non-conjugate Points
Some Between Topology and Curvature

PART 4 APPLICATIONS TO LIE GROUPS AND SYMMEIRIC SPACES
Symmetric Spaces
Lie Groups as Symmetric Spaces
Whole Manifolds of Minimal Geodesics
The Bott Periodicity Theorem for the Unitary Group
The Periodicity Theorem for the Orthogonal Group
APPENDIX THE HOMOTOPY TYPE OF A MONOTONE UNION

前言/序言



用戶評價

評分

還是有點偏數學,唉,你說呢

評分

經典必讀書籍

評分

幫同事買的,送貨超快的,同事說服務很好!!

評分

幫人買的,很好很經典的專業書。

評分

經典書籍,必讀

評分

經典必讀書籍

評分

發貨很快,比其他網站便宜。

評分

很好的一本數學書,推薦

評分

商品名稱:莫爾斯理論

相關圖書

本站所有內容均為互聯網搜尋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

© 2025 book.cndgn.com All Rights Reserved. 新城书站 版權所有