Categories
Technical
Study
Novel
Nonfiction
Health
Tutorial
Entertainment
Business
Magazine
Arts & Design
Audiobooks & Video Training
Cultures & Languages
Family & Home
Law & Politics
Lyrics & Music
Software Related
eBook Torrents
Uncategorized
Study
Novel
Nonfiction
Health
Tutorial
Entertainment
Business
Magazine
Arts & Design
Audiobooks & Video Training
Cultures & Languages
Family & Home
Law & Politics
Lyrics & Music
Software Related
eBook Torrents
Uncategorized
Share With Friends
Archive by Date
2012-08-06
2012-08-05
2012-08-04
2012-08-03
2012-08-02
2012-08-01
2012-07-31
2012-07-30
2012-07-29
2012-07-28
2012-08-05
2012-08-04
2012-08-03
2012-08-02
2012-08-01
2012-07-31
2012-07-30
2012-07-29
2012-07-28
Search Tag
Teamworking
Thema
Measurment
Biofilm
Macc
Kegelr
Anjuta
Primakov
rigth
Sanches
Tarantulas
Benchtop
Mylenium
Skoczylas
Nostromo
Cristal
eSIM
Minnie
Condon
Pluie
Arvo
Arvor
常见树木图鉴
Baugruppen
dictionnaire
冥想
Submersions
Newest
injuste
Yamato
Etiiquette
Svedlund
Bandwagon
Ramaprasad
ihnen
Diagnostics
evigheten
Isha
Tunis
Continue
Povratak
Croatia
HACKED
Minha
Djaout
Calpe
Weltliche
Constituency
Malignancies
donne
Newest
Lectures on Numerical Methods in Bifurcation Problems
Methods for Finding Zeros in Polynomials
Lectures on Stochastic Flows and Applications
Educational Psychology by Edward L. Thorndike
The Last Days of Tolstoy by V. G. Chertkov
Globalization and Responsibility
Lectures on Siegel Modular Forms and Representation by Quadratic Forms
Lectures on Topics In One-Parameter Bifurcation Problems
History of the Incas by Pedro Sarmiento de Gamboa
Linear Algebra: Theorems and Applications
Lectures on Stochastic Differential Equations and Malliavin Calculus
A Short Biographical Dictionary of English Literature
Lectures on Sieve Methods and Prime Number Theory
Dollars and Sense by William Crosbie Hunter
The Theory of the Theatre by Clayton Hamilton
The Mathematics of Investment
Occupiers of Wall Street: Losers or Game Changers
The Solution of the Pyramid Problem
Lectures on Moduli of Curves
Walden by Henry David Thoreau
Methods for Finding Zeros in Polynomials
Lectures on Stochastic Flows and Applications
Educational Psychology by Edward L. Thorndike
The Last Days of Tolstoy by V. G. Chertkov
Globalization and Responsibility
Lectures on Siegel Modular Forms and Representation by Quadratic Forms
Lectures on Topics In One-Parameter Bifurcation Problems
History of the Incas by Pedro Sarmiento de Gamboa
Linear Algebra: Theorems and Applications
Lectures on Stochastic Differential Equations and Malliavin Calculus
A Short Biographical Dictionary of English Literature
Lectures on Sieve Methods and Prime Number Theory
Dollars and Sense by William Crosbie Hunter
The Theory of the Theatre by Clayton Hamilton
The Mathematics of Investment
Occupiers of Wall Street: Losers or Game Changers
The Solution of the Pyramid Problem
Lectures on Moduli of Curves
Walden by Henry David Thoreau
Useful Links
Variational Problems in Geometry
Posted on 2011-01-10
|
More By Seiki Nishikawa A minimal length curve joining two points in a surface is called a geodesic. One may trace the origin of the problem of finding geodesics back to the birth of calculus. Many contemporary mathematical problems, as in the case of geodesics, may be formulated as variational problems in surfaces or in a more generalized form on manifolds. One may characterize geometric variational problems as a field of mathematics that studies global aspects of variational problems relevant in the geometry and topology of manifolds. For example, the problem of finding a surface of minimal area spanning a given frame of wire originally appeared as a mathematical model for soap films. It has also been actively investigated as a geometric variational problem. With recent developments in computer graphics, totally new aspects of the study on the subject have begun to emerge. This book is intended to be an introduction to some of the fundamental questions and results in geometric variational problems, studying variational problems on the length of curves and the energy of maps. The first two chapters treat variational problems of the length and energy of curves in Riemannian manifolds, with an in-depth discussion of the existence and properties of geodesics viewed as solutions to variational problems. In addition, a special emphasis is placed on the facts that concepts of connection and covariant differentiation are naturally induced from the formula for the first variation in this problem, and that the notion of curvature is obtained from the formula for the second variation. The last two chapters treat the variational problem on the energy of maps between two Riemannian manifolds and its solution, harmonic maps. The concept of a harmonic map includes geodesics and minimal submanifolds as examples. Its existence and properties have successfully been applied to various problems in geometry and topology. The author discusses in detail the existence theorem of Eells-Sampson, which is considered to be the most fundamental among existence theorems for harmonic maps. The proof uses the inverse function theorem for Banach spaces. It is presented to be as self-contained as possible for easy reading. Each chapter may be read independently, with minimal preparation for covariant differentiation and curvature on manifolds. The first two chapters provide readers with basic knowledge of Riemannian manifolds. Prerequisites for reading this book include elementary facts in the theory of manifolds and functional analysis, which are included in the form of appendices. Exercises are given at the end of each chapter. This is the English translation of a book originally published in Japanese. It is an outgrowth of lectures delivered at Tohoku University and at the Summer Graduate Program held at the Institute for Mathematics and its Applications at the University of Minnesota. It would make a suitable textbook for advanced undergraduates and graduate students. This item will also be of interest to those working in analysis. Some audiobooks in one folder is !!! Some video tutorials in one folder is !!!
Rating:
2.5 out of 5 by Book123 |
Download Links | |
Server | Status |
---|---|
Direct Download Link 1 | Alive |
Direct Download Link 2 | Alive |
Download Link (Filesonic) | Alive |
Download Link (Depositfiles) | Alive |
Download Link (Uploading) | Alive |
Some my books in one folder is here!!! | Alive |
Download Link (Here) | Alive |
Download Link (Here) | Alive |
Buy This Book at Best Price >> |
Like this article?! Give us +1: