{"product_id":"methods-geometry-theory-partial-differential-equations-9789811287893-new","title":"Methods of Geometry Theory Partial Differential Equations","description":"\u003cp\u003eMathematical models are used to describe the essence of the real world, and their analysis induces new predictions filled with unexpected phenomena.\u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e\u003cp\u003eIn spite of a huge number of insights derived from a variety of scientific fields in these five hundred years of the theory of differential equations, and its \u003c\/p\u003e\u003cp\u003eextensive developments in these one hundred years, several principles that ensure these successes are discovered very recently.\u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e\u003cp\u003eThis monograph focuses on one of them: cancellation of singularities derived from interactions of multiple species, which is described by the language of geometry, in particular, that of global analysis.\u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e\u003cp\u003eFive objects of inquiry, scattered across different disciplines, are selected in this monograph: evolution of geometric quantities, models of multi-species in biology, interface vanishing of \u003cem\u003ed\u003c\/em\u003e - δ systems, the fundamental equation of electro-magnetic theory, and free boundaries arising in engineering.\u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e\u003cp\u003eThe relaxation of internal tensions in these systems, however, is described commonly by differential forms, and the reader will be convinced of further applications of this principle to other areas.\u003c\/p\u003e","brand":"WORLD SCIENTIFIC PUB CO INC","offers":[{"title":"New","offer_id":51544109613346,"sku":"9789811287893-new","price":144.63,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0893\/4755\/5618\/files\/9789811287893.jpg?v=1776398591","url":"https:\/\/www.albakireads.com\/products\/methods-geometry-theory-partial-differential-equations-9789811287893-new","provider":"AlbakiReads","version":"1.0","type":"link"}