Partial differential equations (PDEs) and variational methods were introduced into image processing about fifteen years ago. Since then, intensive research has been carried out. The goals of this book are to present a variety of image analysis appli
CONTENTS 1. CURVES 1. Examples, Arclength Parametrization 1 2. Local Theory: Frenet Frame 10 3. Some Global Results 22 2. SURFACES: LOCAL THEORY . 1. Parametrized Surfaces and the First Fundamental Form 35 2. The Gauss Map and the Second Fundamental
This translation aims at preserving, as far as possible, both the contents and style of Professor Chern’s lectures, the hallmarks of which are simplicity, directness, and economy of approach together with in-depth treatments of fundamental topics. I
This book is written for an undergraduate course on the introduction to differential equations typically taken by majors in mathematics, the physical sciences, and engineering. In this course we will investigate analytical, graphical, and approximat
Forward-backward doubly stochastic differential equations with random jumps and stochastic partial differential-integral equations，朱庆峰，石玉峰，A type of forward-backward doubly stochastic differential equations driven by Brownian motions and Poisson proc
Differential Equations are somewhat pervasive in the descr iption of natural phenomena and the theory of Ordinary Differential Equations is a basic framework where concepts, tools and results allow a systematic approach to knowledge. This same book a
This book is a somewhat revised version of notes from lectures giyen at the University of Lund during three semesters 1986-87. The aim of those lectures was to present the main results then known about global existence or "blowup" of solutions of non
