Providing an introduction to the ideas and methods of linear functional analysis, this book shows how familiar and useful concepts from finite-dimensional linear algebra can be extended or generalized to infinite-dimensional spaces. In the initial chapters, the theory of infinite-dimensional normed spaces (in particular Hilbert spaces) is developed, while in later chapters the emphasis shifts to studying operators between such spaces. Functional analysis has applications to a vast range of areas of mathematics; the final ...
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Providing an introduction to the ideas and methods of linear functional analysis, this book shows how familiar and useful concepts from finite-dimensional linear algebra can be extended or generalized to infinite-dimensional spaces. In the initial chapters, the theory of infinite-dimensional normed spaces (in particular Hilbert spaces) is developed, while in later chapters the emphasis shifts to studying operators between such spaces. Functional analysis has applications to a vast range of areas of mathematics; the final chapter discusses the two particularly important areas of integral and differential equations. The reader is assumed to have a standard undergraduate knowledge of linear algebra, real analysis (including the theory of metric spaces), and Lebesgue integration. An introductory chapter summarizes the requisite material. Many exercises are included with solutions provided for each.
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Add this copy of Linear Functional Analysis (Springer Undergraduate to cart. $48.07, like new condition, Sold by Literary Cat Books rated 3.0 out of 5 stars, ships from Machynlleth, Powys, WALES, UNITED KINGDOM, published 2000 by Springer Verlag London.
Add this copy of Linear Functional Analysis (Springer Undergraduate to cart. $125.77, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Newport Coast, CA, UNITED STATES, published 2006 by Springer.