{"product_id":"mathematical-analysis-linear-and-metric-structures-and-continuity-0817643753","title":"Mathematical Analysis: Linear and Metric Structures and Continuity","description":"\u003cp\u003e\u003cstrong\u003eISBN:\u003c\/strong\u003e 0817643753\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eAuthor:\u003c\/strong\u003e Giaquinta, Mariano\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eCondition:\u003c\/strong\u003e New\u003c\/p\u003e\u003cp\u003eOne of the fundamental ideas of mathematical analysis is the notion of a function; we use it to describe and study relationships among variable quantities in a system and transformations of a system. We have already discussed real functions of one real variable and a few examples of functions of several variables but there are many more examples of functions that the real world, physics, natural and social sciences, and mathematics have to offer: (a) not only do we associate numbers and points to points, but we as- ciate numbers or vectors to vectors, (b) in the calculus of variations and in mechanics one associates an - ergy or action to each curve y(t) connecting two points (a, y(a)) and (b,y(b)): b Lea ~(y) - \/ 9 F(t, y(t), y' (t))dt t. J a in terms of the so-called Lagrangian F(t, y, p), (c) in the theory of integral equations one maps a function into a new function b \/1, d-r \/ o. J a by means of a kernel K(s, T), (d) in the theory of differential equations one considers transformations of a function x(t) into the new function t t f f( a where f(s, y) is given. 1 in M. Giaquinta, G. Modica, Mathematical Analysis. Functions of One Va- able, Birkh~user, Boston, 2003, which we shall refer to as [GM1] and in M. G- quinta, G. Modica, Mathematical Analysis. Approximation and Discrete Processes, Birkhs Boston, 2004, which we shall refer to as [GM2].\u003c\/p\u003e","brand":"Mia Karts","offers":[{"title":"Default Title","offer_id":67848024719648,"sku":"NEW0817643753","price":69.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0980\/7426\/3840\/files\/61sNEZ-Cq_L_03fa828a-2c12-46c3-837f-ef571e5691b1.jpg?v=1792308274","url":"https:\/\/miakarts.com\/en-gb\/products\/mathematical-analysis-linear-and-metric-structures-and-continuity-0817643753","provider":"Miakarts Books","version":"1.0","type":"link"}