£91.50

Introduction to Various Aspects of Degree Theory in Banach Spaces (Mathematical Surveys and Monographs)

Functional Analysis

Price data last checked 25 day(s) ago - will refresh soon

View at Amazon

We'll watch every seller, every day. One email when your price arrives.

It has never been this cheap. We have no record of a lower price.

£92 today · cheaper than every other day in the last 3 months

NEW HERE?

Amazon shows you one price. We show you all of them.

Tosheroon watches Amazon prices so you don't have to. Every product on Amazon has a price history — we make it visible. Set the price you'd actually pay, and we'll email you the second it gets there. No app, no account, one email.

WHAT'S ON THIS PAGE

↓ Price chart
when this has been cheap or pricey

↓ Forecast
where the price is heading next

↓ Statistics
all-time high & low, recent range

↑ Price alert
name your number, we'll email you

Price History & Forecast

Grey patches = out of stock. Cheaper = lower on the chart. Hover for exact prices.

Last 66 days · 66 data points (no recent data)

Historical

Generating forecast…

Price Distribution

Price distribution over 66 days • 1 price levels

Days at Price

Price Analysis

Most common price: £92 (66 days, 100.0%)

Price range: £92 - £92

Price levels: 1 different prices over 66 days

Description

Since its development by Leray and Schauder in the 1930's, degree theory in Banach spaces has proved to be an important tool in tackling many analytic problems, including boundary value problems in ordinary and partial differential equations, integral equations, and eigenvalue and bifurcation problems. With this volume E. H. Rothe provides a largely self-contained introduction to topological degree theory, with an emphasis on its function-analytical aspects. He develops the definition and properties of the degree as much as possible directly in Banach space, without recourse to finite-dimensional theory.A basic tool used is a homotopy theorem for certain linear maps in Banach spaces which allows one to generalize the distinction between maps with positive determinant and those with negative determinant in finite-dimensional spaces. Rothe's book is addressed to graduate students who may have only a rudimentary knowledge of Banach space theory. The first chapter on function-analytic preliminaries provides most of the necessary background. For the benefit of less experienced mathematicians, Rothe introduces the topological tools (subdivision and simplicial approximation, for example) only to the degree of abstraction necessary for the purpose at hand.Readers will gain insight into the various aspects of degree theory, experience in function-analytic thinking, and a theoretic base for applying degree theory to analysis. Rothe describes the various approaches that have historically been taken towards degree theory, making the relationships between these approaches clear. He treats the differential method, the simplicial approach introduced by Brouwer in 1911, the Leray-Schauder method (which assumes Brouwer's degree theory for the finite-dimensional space and then uses a limit process in the dimension), and attempts to establish degree theory in Banach spaces intrinsically, by an application of the differential method in the Banach space case.

Product Specifications

Format: paperback
ASIN: 0821827707
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Mathematical Analysis > Functional Analysis
Domain: Amazon UK
Release Date: 15 August 2002
Listed Since: 03 October 2006

Barcode

No barcode data available

Introduction to Various Aspects of Degree Theory in Banach Spaces (Mathematical Surveys and Monographs)

It has never been this cheap. We have no record of a lower price.

Price History & Forecast

Price Distribution

Price Analysis

Description

Product Specifications

Barcode

Similar Products You Might Like

Topological Degree Theory and Applications: 10 (Mathematical Analysis and Applications)

Banach Lattices (Universitext)

The Rademacher System in Function Spaces

The Rademacher System in Function Spaces

Semi-Groups of Operators and Approximation: 145 (Grundlehren der mathematischen Wissenschaften, 145)

Non-Archimedean Operator Theory (SpringerBriefs in Mathematics)

Topological Fixed Point Theory of Multivalued Mappings: 4 (Topological Fixed Point Theory and Its Applications, 4)

Introduction to Banach Algebras, Operators, and Harmonic Analysis: 57 (London Mathematical Society Student Texts, Series Number 57)

Théories spectrales: Chapitres 3 à 5

Frechet Differentiability of Lipschitz Functions and Porous Sets in Banach Spaces (AM-179) (Annals of Mathematics Studies)

Iterative Methods without Inversion (Chapman & Hall/CRC Monographs and Research Notes in Mathematics)

An Introduction to Abstract Analysis: 3 (Chapman Hall/CRC Mathematics Series)

Nonlinear Functional Analysis in Banach Spaces and Banach Algebras: Fixed Point Theory under Weak Topology for Nonlinear Operators and Block Operator ... Monographs and Research Notes in Mathematics)

Calkin Algebras and Algebras of Operators on Banach Spaces: 9 (Lecture Notes in Pure and Applied Mathematics)

Principles of Functional Analysis (Graduate Studies in Mathematics)

Elementary Banach Space Theory: An Engaging Introduction

Nonlinear semigroups and differential equations in Banach spaces

Analysis in Banach Spaces: Volume II: Probabilistic Methods and Operator Theory: 67 (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, 67)

Differential Inclusions in a Banach Space: 524 (Mathematics and Its Applications, 524)

Isometries on Banach Spaces: function spaces (Monographs and Surveys in Pure and Applied Mathematics)

Complex Interpolation Between Hilbert, Banach and Operator Spaces: 208 (Memoirs of the American Mathematical Society)

Linear Operators and Their Essential Pseudospectra

Fuzzy Operator Theory in Mathematical Analysis

Approximation-solvability of Nonlinear Functional and Differential Equations: 171 (Chapman & Hall/CRC Pure and Applied Mathematics)