{"product_id":"lineability-richard-m-aron-9781482299090","title":"Lineability: The Search for Linearity in Mathematics","description":"\u003cp\u003eRenewed interest in vector spaces and linear algebras has spurred the search for large algebraic structures composed of mathematical objects with special properties. Bringing together research that was otherwise scattered throughout the literature, \u003cstrong\u003eLineability: The Search for Linearity in Mathematics\u003c\/strong\u003e collects the main results on the conditions for the existence of large algebraic substructures. It investigates lineability issues in a variety of areas, including real and complex analysis.\u003c\/p\u003e\u003cp\u003eAfter presenting basic concepts about the existence of linear structures, the book discusses lineability properties of families of functions defined on a subset of the real line as well as the lineability of special families of holomorphic (or analytic) functions defined on some domain of the complex plane. It next focuses on spaces of sequences and spaces of integrable functions before covering the phenomenon of universality from an algebraic point of view. The authors then describe the linear structure of the set of zeros of a polynomial defined on a real or complex Banach space and explore specialized topics, such as the lineability of various families of vectors. The book concludes with an account of general techniques for discovering lineability in its diverse degrees.\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Richard M. Aron,Luis Bernal-Gonzalez,Daniel M. Pellegrino\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 1482299097\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9781482299090\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e CRC Press\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 10\/05\/2015\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 328\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Hardcover\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.40lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.30h x 6.00w x 0.90d","brand":"Richard M. Aron","offers":[{"title":"Hardcover","offer_id":48088379785471,"sku":"9781482299090","price":210.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_5288e3c1-6895-44d8-b0a2-a156978323c4.jpg?v=1769104510","url":"https:\/\/www.whiterainbookhouse.com\/products\/lineability-richard-m-aron-9781482299090","provider":"WR Book House","version":"1.0","type":"link"}