Green's Functions and Boundary Value Problems | Zookal Textbooks | Zookal Textbooks
  • Author(s) Ivar Stakgold / Michael J. Holst
  • Edition1
  • Published28th January 2011
  • PublisherJohn Wiley & Sons Inc (US)
  • ISBN9780470609705
Praise for the Second Edition




"This book is an excellent introduction to the wide field of
boundary value problems."?Journal of Engineering
Mathematics


"No doubt this textbook will be useful for both students and
research workers."?Mathematical Reviews


A new edition of the highly-acclaimed guide to boundary value
problems, now featuring modern computational methods and
approximation theory


Green's Functions and Boundary Value Problems, Third Edition
continues the tradition of the two prior editions by providing
mathematical techniques for the use of differential and integral
equations to tackle important problems in applied mathematics, the
physical sciences, and engineering. This new edition presents
mathematical concepts and quantitative tools that are essential for
effective use of modern computational methods that play a key role
in the practical solution of boundary value problems. With a
careful blend of theory and applications, the authors successfully
bridge the gap between real analysis, functional analysis,
nonlinear analysis, nonlinear partial differential equations,
integral equations, approximation theory, and numerical analysis to
provide a comprehensive foundation for understanding and analyzing
core mathematical and computational modeling problems.


Thoroughly updated and revised to reflect recent developments,
the book includes an extensive new chapter on the modern tools of
computational mathematics for boundary value problems. The Third
Edition features numerous new topics, including:




  • Nonlinear analysis tools for Banach spaces




  • Finite element and related discretizations




  • Best and near-best approximation in Banach spaces




  • Iterative methods for discretized equations




  • Overview of Sobolev and Besov space linear




  • Methods for nonlinear equations




  • Applications to nonlinear elliptic equations




In addition, various topics have been substantially expanded,
and new material on weak derivatives and Sobolev spaces, the
Hahn-Banach theorem, reflexive Banach spaces, the Banach Schauder
and Banach-Steinhaus theorems, and the Lax-Milgram theorem has been
incorporated into the book. New and revised exercises found
throughout allow readers to develop their own problem-solving
skills, and the updated bibliographies in each chapter provide an
extensive resource for new and emerging research and
applications.


With its careful balance of mathematics and meaningful
applications, Green's Functions and Boundary Value Problems, Third
Edition is an excellent book for courses on applied analysis and
boundary value problems in partial differential equations at the
graduate level. It is also a valuable reference for mathematicians,
physicists, engineers, and scientists who use applied mathematics
in their everyday work.

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  • Author(s) Ivar Stakgold / Michael J. Holst
  • Edition1
  • Published28th January 2011
  • PublisherJohn Wiley & Sons Inc (US)
  • ISBN9780470609705
Praise for the Second Edition




"This book is an excellent introduction to the wide field of
boundary value problems."?Journal of Engineering
Mathematics


"No doubt this textbook will be useful for both students and
research workers."?Mathematical Reviews


A new edition of the highly-acclaimed guide to boundary value
problems, now featuring modern computational methods and
approximation theory


Green's Functions and Boundary Value Problems, Third Edition
continues the tradition of the two prior editions by providing
mathematical techniques for the use of differential and integral
equations to tackle important problems in applied mathematics, the
physical sciences, and engineering. This new edition presents
mathematical concepts and quantitative tools that are essential for
effective use of modern computational methods that play a key role
in the practical solution of boundary value problems. With a
careful blend of theory and applications, the authors successfully
bridge the gap between real analysis, functional analysis,
nonlinear analysis, nonlinear partial differential equations,
integral equations, approximation theory, and numerical analysis to
provide a comprehensive foundation for understanding and analyzing
core mathematical and computational modeling problems.


Thoroughly updated and revised to reflect recent developments,
the book includes an extensive new chapter on the modern tools of
computational mathematics for boundary value problems. The Third
Edition features numerous new topics, including:




  • Nonlinear analysis tools for Banach spaces




  • Finite element and related discretizations




  • Best and near-best approximation in Banach spaces




  • Iterative methods for discretized equations




  • Overview of Sobolev and Besov space linear




  • Methods for nonlinear equations




  • Applications to nonlinear elliptic equations




In addition, various topics have been substantially expanded,
and new material on weak derivatives and Sobolev spaces, the
Hahn-Banach theorem, reflexive Banach spaces, the Banach Schauder
and Banach-Steinhaus theorems, and the Lax-Milgram theorem has been
incorporated into the book. New and revised exercises found
throughout allow readers to develop their own problem-solving
skills, and the updated bibliographies in each chapter provide an
extensive resource for new and emerging research and
applications.


With its careful balance of mathematics and meaningful
applications, Green's Functions and Boundary Value Problems, Third
Edition is an excellent book for courses on applied analysis and
boundary value problems in partial differential equations at the
graduate level. It is also a valuable reference for mathematicians,
physicists, engineers, and scientists who use applied mathematics
in their everyday work.

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