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Nonlinear Functional Analysis: A First Course: Second Edition
 
S. Kesavan Institute of Mathematical Sciences, Chenna, India
A publication of Hindustan Book Agency
Nonlinear Functional Analysis:  A First Course
Softcover ISBN:  978-93-86279-85-9
Product Code:  HIN/80
List Price: $44.00
AMS Member Price: $35.20
Please note AMS points can not be used for this product
Nonlinear Functional Analysis:  A First Course
Click above image for expanded view
Nonlinear Functional Analysis: A First Course: Second Edition
S. Kesavan Institute of Mathematical Sciences, Chenna, India
A publication of Hindustan Book Agency
Softcover ISBN:  978-93-86279-85-9
Product Code:  HIN/80
List Price: $44.00
AMS Member Price: $35.20
Please note AMS points can not be used for this product
  • Book Details
     
     
    Hindustan Book Agency
    Volume: 802020; 178 pp
    MSC: Primary 46; Secondary 47; 58

    The purpose of this book is to provide an introduction to the theory of the topological degree and to some variational methods used in the solution of some nonlinear equations formulated in Banach or Hilbert spaces. While the choice of topics and the treatment have been kept sufficiently general so as to interest all students of higher mathematics, the material presented will be particularly useful for students aspiring to work in the applications of mathematics, especially in the area of partial differential equations.

    The first chapter gives a brisk introduction to differential calculus in normed linear spaces and some important classical theorems of analysis are proved. The second chapter develops the theory of the topological degree in finite dimensional Euclidean spaces while the third chapter extends this study to cover the theory of the Leray-Schauder degree in infinite dimensional Banach spaces. Applications, especially to fixed point theorems, are presented. The fourth chapter gives an introduction to bifurcation theory. The last chapter studies some methods to find critical points of functionals defined on Banach spaces, with emphasis on min-max methods. The text is punctuated throughout with exercises which prove additional results or indicate applications, especially to nonlinear partial differential equations.

    The first edition of this book has been very well received, and it is hoped that this second edition will prove to be even more user-friendly. The presentation has been completely overhauled, without altering the structure of the earlier edition. Many definitions and statements of results, and their proofs, have been rewritten in the interest of greater clarity of exposition. A section on monotone mappings has been added and a few more important fixed point theorems have been covered.

    A publication of Hindustan Book Agency; distributed within the Americas by the American Mathematical Society. Maximum discount of 20% for all commercial channels.

    Readership

    Undergraduate and graduate students interested in nonlinear functional analysis.

  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 802020; 178 pp
MSC: Primary 46; Secondary 47; 58

The purpose of this book is to provide an introduction to the theory of the topological degree and to some variational methods used in the solution of some nonlinear equations formulated in Banach or Hilbert spaces. While the choice of topics and the treatment have been kept sufficiently general so as to interest all students of higher mathematics, the material presented will be particularly useful for students aspiring to work in the applications of mathematics, especially in the area of partial differential equations.

The first chapter gives a brisk introduction to differential calculus in normed linear spaces and some important classical theorems of analysis are proved. The second chapter develops the theory of the topological degree in finite dimensional Euclidean spaces while the third chapter extends this study to cover the theory of the Leray-Schauder degree in infinite dimensional Banach spaces. Applications, especially to fixed point theorems, are presented. The fourth chapter gives an introduction to bifurcation theory. The last chapter studies some methods to find critical points of functionals defined on Banach spaces, with emphasis on min-max methods. The text is punctuated throughout with exercises which prove additional results or indicate applications, especially to nonlinear partial differential equations.

The first edition of this book has been very well received, and it is hoped that this second edition will prove to be even more user-friendly. The presentation has been completely overhauled, without altering the structure of the earlier edition. Many definitions and statements of results, and their proofs, have been rewritten in the interest of greater clarity of exposition. A section on monotone mappings has been added and a few more important fixed point theorems have been covered.

A publication of Hindustan Book Agency; distributed within the Americas by the American Mathematical Society. Maximum discount of 20% for all commercial channels.

Readership

Undergraduate and graduate students interested in nonlinear functional analysis.

Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.