Linear Functional Analysis (Springer Undergraduate Mathematics Series) - Tapa blanda

Rynne, Bryan P.; Youngson, Martin A.

 
9781852332570: Linear Functional Analysis (Springer Undergraduate Mathematics Series)
Tapa blanda
ISBN 10: 1852332573 ISBN 13: 9781852332570
Editorial: Springer London Ltd, 2000

Sinopsis

This introduction to the ideas and methods of linear functional analysis shows how familiar and useful concepts from finite-dimensional linear algebra can be extended or generalized to infinite-dimensional spaces. Aimed at advanced undergraduates in mathematics and physics, the book assumes a standard background of linear algebra, real analysis (including the theory of metric spaces), and Lebesgue integration, although an introductory chapter summarizes the requisite material. The highlights of the second edition include: a new chapter on the Hahn-Banach theorem and its applications to the theory of duality. This chapter also introduces the basic properties of projection operators on Banach spaces, and weak convergence of sequences in Banach spaces - topics that have applications to both linear and nonlinear functional analysis; extended coverage of the uniform boundedness theorem; and plenty of exercises, with solutions provided at the back of the book.

"Sinopsis" puede pertenecer a otra edición de este libro.

Críticas

"The authors write with a strong narrative thrust and a sensitive appreciation of the needs of the average student so that, by the final chapter, there is a real feeling of having "gotten somewhere worth getting" by a sensibly paced, clearly signposted route." Mathematical Gazette, 2000 "It is a fine book, with material well-organized and well-presented. A particularly useful feature is the material on compact operators and applications to differential equations." CHOICE magazine "The presentation is quite elementary, and there are sufficiently many illuminating examples and exercises??? this nice textbook perfectly fits the readership, i.e., undergraduate students in mathematics and physics??? It may be recommended to all students who want to get in touch with the basic ideas of functional analysis and operator theory for the first time." Zentralblatt MATH "The authors write with a strong narrative thrust and a sensitive appreciation of the needs of the average student so that, by the final chapter, there is a real feeling of having "gotten somewhere worth getting" by a sensibly paced, clearly signposted route." Mathematical Gazette, 2000 "It is a fine book, with material well-organized and well-presented. A particularly useful feature is the material on compact operators and applications to differential equations." CHOICE magazine "The presentation is quite elementary, and there are sufficiently many illuminating examples and exercises??? this nice textbook perfectly fits the readership, i.e., undergraduate students in mathematics and physics??? It may be recommended to all students who want to get in touch with the basic ideas of functional analysis and operator theory for the first time." Zentralblatt MATH From the reviews: ..." gentle undergraduate introduction to normed and Hilbert spaces." (Bulletin of Mathematics Books) From the reviews: BULLETIN OF MATHEMATICS BOOKS "? gentle undergraduate introduction to normed and Hilbert spaces."

Reseña del editor

This introduction to the ideas and methods of linear functional analysis shows how familiar and useful concepts from finite-dimensional linear algebra can be extended or generalized to infinite-dimensional spaces. Aimed at advanced undergraduates in mathematics and physics, the book assumes a standard background of linear algebra, real analysis (including the theory of metric spaces), and Lebesgue integration, although an introductory chapter summarizes the requisite material. The highlights of the second edition include: a new chapter on the Hahn-Banach theorem and its applications to the theory of duality. This chapter also introduces the basic properties of projection operators on Banach spaces, and weak convergence of sequences in Banach spaces - topics that have applications to both linear and nonlinear functional analysis; extended coverage of the uniform boundedness theorem; and plenty of exercises, with solutions provided at the back of the book.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Springer London Ltd
Año de publicación
2000
Idioma
Inglés
ISBN 10 
1852332573
ISBN 13 
9781852332570
Encuadernación
Tapa blanda
Número de edición
3
Número de páginas
283
Contacto del fabricante
no disponible
Persona responsable
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