From the reviews of the second edition: "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. A particularly useful feature is the material on compact operators and applications to differential equations.
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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. You can see if you're on the right track with exercises because the text has solutions and hints in the back. This undergrad text is extremely clear, with lots of examples and exercises. The text is carefully written and the clear and precise style makes it an easy read. The book contains many instructive examples and a wealth of exercises including solutions. Steinbauer, Monatshefte fur Mathematik, Vol.
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Plenty of cross-references are included to point the reader to relevant material covered earlier in the book. It is extensively cross-referenced, has a good index, a separate index of symbols Very Good Feature , and complete solutions to all the exercises.
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It has numerous examples, and is especially good in giving both examples of objects that have a given property and objects that do not have the property. The book is readable and conceptually useful for undergraduate students in mathematics and physics.
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Popular Features. New Releases. Linear Functional Analysis.
Description 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.
A highlight of the second edition is a new chapter on the Hahn-Banach theorem and its applications to the theory of duality. Product details Format Paperback pages Dimensions x x Other books in this series.
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