{"product_id":"functional-analysis-in-applied-mathematics-and-engineering-9780367399412","title":"Functional Analysis in Applied Mathematics and Engineering","description":"\u003cp\u003e • Author(s): Michael Pedersen\u003cbr\u003e • Publisher: Taylor \u0026amp; Francis\u003cbr\u003e • Publisher Imprint: CRC Press\u003cbr\u003e • BISAC: Applied\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003ePresenting excellent material for a first course on functional analysis, Functional Analysis in Applied Mathematics and Engineering concentrates on material that will be useful to control engineers from the disciplines of electrical, mechanical, and aerospace engineering. \u003c\/p\u003e\u003cp\u003e\u003c\/p\u003eThis text\/reference discusses: \u003cli\u003erudimentary topology\u003cbr\u003e \u003c\/li\u003e\u003cli\u003eBanach's fixed point theorem with applications\u003cbr\u003e \u003c\/li\u003e\u003cli\u003eL p-spaces\u003cbr\u003e \u003c\/li\u003e\u003cli\u003edensity theorems for testfunctions\u003cbr\u003e \u003c\/li\u003e\u003cli\u003einfinite dimensional spaces\u003cbr\u003e \u003c\/li\u003e\u003cli\u003ebounded linear operators\u003cbr\u003e \u003c\/li\u003e\u003cli\u003eFourier series\u003cbr\u003e \u003c\/li\u003e\u003cli\u003eopen mapping and closed graph theorems\u003cbr\u003e \u003c\/li\u003e\u003cli\u003ecompact and differential operators\u003cbr\u003e \u003c\/li\u003e\u003cli\u003eHilbert-Schmidt operators\u003cbr\u003e \u003c\/li\u003e\u003cli\u003eVolterra equations\u003cbr\u003e \u003c\/li\u003e\u003cli\u003eSobolev spaces\u003cbr\u003e \u003c\/li\u003e\u003cli\u003econtrol theory and variational analysis\u003cbr\u003e \u003c\/li\u003e\u003cli\u003eHilbert Uniqueness Method\u003cbr\u003e \u003c\/li\u003e\u003cli\u003eboundary element methods \u003cp\u003e\u003c\/p\u003eFunctional Analysis in Applied Mathematics and Engineering begins with an introduction to the important, abstract basic function spaces and operators with mathematical rigor, then studies problems in the Hilbert space setting. The author proves the spectral theorem for unbounded operators with compact inverses and goes on to present the abstract evolution semigroup theory for time dependent linear partial differential operators. This structure establishes a firm foundation for the more advanced topics discussed later in the text.\u003c\/li\u003e","brand":"Taylor \u0026 Francis","offers":[{"title":"Paperback","offer_id":45239618764951,"sku":"9780367399412","price":5697.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9780367399412.webp?v=1769223102","url":"https:\/\/atlanticbooks.com\/products\/functional-analysis-in-applied-mathematics-and-engineering-9780367399412","provider":"Atlantic Books","version":"1.0","type":"link"}