By Mark Mandelkern

Similar mathematical analysis books

Problems in mathematical analysis 2. Continuity and differentiation

We examine via doing. We examine arithmetic via doing difficulties. And we research extra arithmetic by means of doing extra difficulties. This is the sequel to difficulties in Mathematical research I (Volume four within the pupil Mathematical Library series). a good way to hone your figuring out of constant and differentiable features, this booklet includes thousands of difficulties that will help you achieve this.

Applied Smoothing Techniques for Data Analysis: The Kernel Approach with S-Plus Illustrations

This publication describes using smoothing suggestions in facts and contains either density estimation and nonparametric regression. Incorporating contemporary advances, it describes quite a few how you can follow those ways to useful difficulties. even if the emphasis is on utilizing smoothing options to discover info graphically, the dialogue additionally covers facts research with nonparametric curves, as an extension of extra average parametric types.

A Brief on Tensor Analysis

During this textual content which progressively develops the instruments for formulating and manipulating the sphere equations of Continuum Mechanics, the maths of tensor research is brought in 4, well-separated levels, and the actual interpretation and alertness of vectors and tensors are under pressure all through.

Extra resources for Constructive Continuity

Example text

34 37 37 38 39 40 42 44 46 47 49 51 53 54 54 57 59 63 63 63 66 69 69 72 74 77 77 78 81 83 85 85 34 Georgios D. Daskalopoulos and Richard A. 2 Properness of the energy . . . . . . 3 Convexity of energy and length functionals . 4 Further applications . . . . . . . . 5 Harmonic maps to Teichmüller space . . .

34 37 37 38 39 40 42 44 46 47 49 51 53 54 54 57 59 63 63 63 66 69 69 72 74 77 77 78 81 83 85 85 34 Georgios D. Daskalopoulos and Richard A. 2 Properness of the energy . . . . . . 3 Convexity of energy and length functionals . 4 Further applications . . . . . . . . 5 Harmonic maps to Teichmüller space . . . . . . 1 Existence of equivariant harmonic maps . . . . 1 Maps to the completion .

2 Superrigidity . . . . . . . . . . . 2 Harmonic maps from singular domains . . . References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 86 87 88 90 90 90 92 93 95 95 96 99 1 Introduction Teichmüller theory is rich in applications to topology and physics. By way of the mapping class group the subject is closely related to knot theory and three-manifolds.