A Fixed-Point Farrago (Universitext) by Joel H. Shapiro PDF

By Joel H. Shapiro

ISBN-10: 3319279769

ISBN-13: 9783319279763

This textual content offers an advent to a few of the best-known fixed-point theorems, with an emphasis on their interactions with issues in analysis.  the extent of exposition raises progressively during the booklet, development from a easy requirement of undergraduate skillability to graduate-level sophistication. Appendices offer an creation to (or refresher on) many of the prerequisite fabric and workouts are built-in into the textual content, contributing to the volume’s skill for use as a self-contained textual content. Readers will locate the presentation particularly helpful for autonomous examine or as a complement to a graduate direction in fixed-point theory.

The fabric is divided into 4 elements: the 1st introduces the Banach Contraction-Mapping precept and the Brouwer Fixed-Point Theorem, in addition to a range of fascinating functions; the second one makes a speciality of Brouwer’s theorem and its software to John Nash’s paintings; the 3rd applies Brouwer’s theorem to areas of endless size; and the fourth rests at the paintings of Markov, Kakutani, and Ryll–Nardzewski surrounding fastened issues for households of affine maps.

Show description

Read Online or Download A Fixed-Point Farrago (Universitext) PDF

Similar number systems books

Download e-book for kindle: Numerical Models for Differential Problems (MS&A) by Alfio Quarteroni

During this textual content, we introduce the fundamental options for the numerical modelling of partial differential equations. We give some thought to the classical elliptic, parabolic and hyperbolic linear equations, but additionally the diffusion, delivery, and Navier-Stokes equations, in addition to equations representing conservation legislation, saddle-point difficulties and optimum keep an eye on difficulties.

Download PDF by Norman Matloff: Parallel Computing for Data Science: With Examples in R, C++

Parallel Computing for info technological know-how: With Examples in R, C++ and CUDA is likely one of the first parallel computing books to pay attention solely on parallel info buildings, algorithms, software program instruments, and functions in facts technology. It contains examples not just from the vintage "n observations, p variables" matrix layout but additionally from time sequence, community graph types, and various different buildings universal in facts technological know-how.

Get Theory of p-adic Distributions: Linear and Nonlinear Models PDF

This 2010 e-book used to be the 1st dedicated to the idea of p-adic wavelets and pseudo-differential equations within the framework of distribution conception. This rather fresh conception has develop into more and more very important within the final decade with intriguing purposes in quite a few fields, together with biology, photograph research, psychology, and data technology.

Read e-book online Numerical Approximation of Partial Differential Equations PDF

Finite point tools for approximating partial differential equations have reached a excessive measure of adulthood, and are an indispensible instrument in technology and expertise. This textbook goals at offering an intensive advent to the development, research, and implementation of finite aspect tools for version difficulties coming up in continuum mechanics.

Extra info for A Fixed-Point Farrago (Universitext)

Example text

Download PDF sample

A Fixed-Point Farrago (Universitext) by Joel H. Shapiro

by Ronald

Rated 4.15 of 5 – based on 8 votes