莫尔斯理论

莫尔斯理论 pdf epub mobi txt 电子书 下载 2025

米尔诺(J.Milnor) 著
想要找书就要到 静思书屋
立刻按 ctrl+D收藏本页
你会得到大惊喜!!
出版社: 世界图书出版公司
ISBN:9787510037481
版次:1
商品编码:10914296
包装:平装
开本:24开
出版时间:2011-07-01
页数:153
正文语种:英文

具体描述

内容简介

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.

内页插图

目录

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



用户评价

评分

好书好书好书好书好书好书。。。。。。

评分

1960年代的书,字体太难看了……看着累人,印刷也太差了。还不如买中文版的……

评分

书还行吧,就是看不懂,全英文的!!

评分

很快很满意,京东图书满300减100活动很给力

评分

如果有兴趣了解莫尔斯理论的,可以参考

评分

送货很快,书质量不错

评分

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.

评分

大家的东西就是好读

评分

milnor 的经典之作。

相关图书

本站所有内容均为互联网搜索引擎提供的公开搜索信息,本站不存储任何数据与内容,任何内容与数据均与本站无关,如有需要请联系相关搜索引擎包括但不限于百度google,bing,sogou

© 2025 book.idnshop.cc All Rights Reserved. 静思书屋 版权所有