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)
Resource Information
The item A Topological Introduction to Nonlinear Analysis, by Robert F. Brown, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in European University Institute.This item is available to borrow from 1 library branch.
Resource Information
The item A Topological Introduction to Nonlinear Analysis, by Robert F. Brown, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in European University Institute.
This item is available to borrow from 1 library branch.
 Summary
 This third edition of A Topological Introduction to Nonlinear Analysis is addressed to the mathematician or graduate student of mathematics  or even the wellprepared 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 carefullyexpounded 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 selfstudy 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 topologyminded 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)
 Language
 eng
 Edition
 3rd ed. 2014.
 Extent
 X, 240 pages : 42 illustrations ;
 Contents

 Preface
 Part I Fixed Point Existence Theory
 The Topological Point of View
 AscoliArzela 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
 LeraySchauder Degree
 Properties of the LeraySchauder 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 KrasnoselskiiRabinowitz Theorem
 Nonlinear Strum Liouville Theory
 More Strum Liouville Theory
 Euler Buckling
 Part V Appendices
 Isbn
 9783319117942
 Label
 A Topological Introduction to Nonlinear Analysis
 Title
 A Topological Introduction to Nonlinear Analysis
 Statement of responsibility
 by Robert F. Brown
 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 wellprepared 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 carefullyexpounded 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 selfstudy 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 topologyminded 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)
 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)
 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  AscoliArzela 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  LeraySchauder Degree  Properties of the LeraySchauder 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 KrasnoselskiiRabinowitz Theorem  Nonlinear Strum Liouville Theory  More Strum Liouville Theory  Euler Buckling  Part V Appendices
 Control code
 9783319117942
 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, noncommercial 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
 10.1007/9783319117942
 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)
 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  AscoliArzela 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  LeraySchauder Degree  Properties of the LeraySchauder 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 KrasnoselskiiRabinowitz Theorem  Nonlinear Strum Liouville Theory  More Strum Liouville Theory  Euler Buckling  Part V Appendices
 Control code
 9783319117942
 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, noncommercial 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
 10.1007/9783319117942
 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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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.eui.eu/portal/ATopologicalIntroductiontoNonlinearAnalysis/Pqh9sweC32Y/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.eui.eu/portal/ATopologicalIntroductiontoNonlinearAnalysis/Pqh9sweC32Y/">A Topological Introduction to Nonlinear Analysis, by Robert F. Brown, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.eui.eu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.eui.eu/">European University Institute</a></span></span></span></span></div>