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The Resource A Topological Introduction to Nonlinear Analysis, by Robert F. Brown, (electronic resource)

A Topological Introduction to Nonlinear Analysis, by Robert F. Brown, (electronic resource)

Label
A Topological Introduction to Nonlinear Analysis
Title
A Topological Introduction to Nonlinear Analysis
Statement of responsibility
by Robert F. Brown
Creator
Contributor
Author
Subject
Language
eng
Summary
This third edition of A Topological Introduction to Nonlinear Analysis is addressed to the mathematician or graduate student of mathematics - or even the well-prepared undergraduate - who would like, with a minimum of background and preparation, to understand some of the beautiful results at the heart of nonlinear analysis. Based on carefully-expounded ideas from several branches of topology, and illustrated by a wealth of figures that attest to the geometric nature of the exposition, the book will be of immense help in providing its readers with an understanding of the mathematics of the nonlinear phenomena that characterize our real world. For this third edition, several new chapters present the fixed point index and its applications. The exposition and mathematical content is improved throughout. This book is ideal for self-study for mathematicians and students interested in such areas of geometric and algebraic topology, functional analysis, differential equations, and applied mathematics. It is a sharply focused and highly readable view of nonlinear analysis by a practicing topologist who has seen a clear path to understanding. "For the topology-minded reader, the book indeed has a lot to offer: written in a very personal, eloquent and instructive style it makes one of the highlights of nonlinear analysis accessible to a wide audience." -Monatshefte fur Mathematik (2006)--
Member of
Assigning source
Provided by Publisher
http://library.link/vocab/creatorName
Brown, Robert F
Image bit depth
0
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
SpringerLink (Online service)
http://library.link/vocab/subjectName
  • Mathematics
  • Functional analysis
  • Differential equations
  • Partial differential equations
  • Topology
Label
A Topological Introduction to Nonlinear Analysis, by Robert F. Brown, (electronic resource)
Link
https://eui.idm.oclc.org/login?url=http://dx.doi.org/10.1007/978-3-319-11794-2
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier.
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent.
Contents
Preface -- Part I Fixed Point Existence Theory -- The Topological Point of View -- Ascoli-Arzela Theory -- Brouwer Fixed Point Theory -- Schauder Fixed Point Theory -- The Forced Pendulum -- Equilibrium Heat Distribution -- Generalized Bernstain Theory -- Part II Degree Theory -- Brouwer Degree -- Properties of the Brouwer Degree -- Leray-Schauder Degree -- Properties of the Leray-Schauder Degree -- The Mawhin Operator -- The Pendulum Swings back -- Part III Fixed Point Index Theory -- A Retraction Theorum -- The Fixed Point Index -- The Tubulur Reactor -- Fixed Points in a Cone -- Eigenvalues and Eigenvectors -- Part IV Bifurcation Theory -- A Separation Theorem -- Compact Linear Operators -- The Degree Calculation -- The Krasnoselskii-Rabinowitz Theorem -- Nonlinear Strum Liouville Theory -- More Strum Liouville Theory -- Euler Buckling -- Part V Appendices
Control code
978-3-319-11794-2
Dimensions
unknown
Edition
3rd ed. 2014.
Extent
X, 240 pages : 42 illustrations ;
File format
multiple file formats
Form of item
electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9783319117942
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia.
Media type code
  • c
Other control number
10.1007/978-3-319-11794-2
Other physical details
1 online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1022044084
Label
A Topological Introduction to Nonlinear Analysis, by Robert F. Brown, (electronic resource)
Link
https://eui.idm.oclc.org/login?url=http://dx.doi.org/10.1007/978-3-319-11794-2
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier.
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent.
Contents
Preface -- Part I Fixed Point Existence Theory -- The Topological Point of View -- Ascoli-Arzela Theory -- Brouwer Fixed Point Theory -- Schauder Fixed Point Theory -- The Forced Pendulum -- Equilibrium Heat Distribution -- Generalized Bernstain Theory -- Part II Degree Theory -- Brouwer Degree -- Properties of the Brouwer Degree -- Leray-Schauder Degree -- Properties of the Leray-Schauder Degree -- The Mawhin Operator -- The Pendulum Swings back -- Part III Fixed Point Index Theory -- A Retraction Theorum -- The Fixed Point Index -- The Tubulur Reactor -- Fixed Points in a Cone -- Eigenvalues and Eigenvectors -- Part IV Bifurcation Theory -- A Separation Theorem -- Compact Linear Operators -- The Degree Calculation -- The Krasnoselskii-Rabinowitz Theorem -- Nonlinear Strum Liouville Theory -- More Strum Liouville Theory -- Euler Buckling -- Part V Appendices
Control code
978-3-319-11794-2
Dimensions
unknown
Edition
3rd ed. 2014.
Extent
X, 240 pages : 42 illustrations ;
File format
multiple file formats
Form of item
electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9783319117942
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia.
Media type code
  • c
Other control number
10.1007/978-3-319-11794-2
Other physical details
1 online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1022044084

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