{"product_id":"9781441965615","title":"Graduate Texts in Physics","description":"\u003ch1\u003eGraduate Texts in Physics\u003c\/h1\u003e \u003ch2\u003eBoccara, Nino\u003c\/h2\u003e \u003cp\u003eThe essential points of this ?rst chapter are • The de?nition of a complex system • The notion of emergence • The de?nition of a model • The notion of dynamical system This book is about the dynamics of complex systems. Roughly speaking, a system is a collection of interacting elements making up a whole such as, for instance, a mechanical clock. While many systems may be quite complicated, they are not necessarily considered to be complex. Today, most authors agree on the essential properties a system has to possess to be called complex. The ?rst section is devoted to the description of these properties. To interpret the time evolution of a system, scientists build up models, which are simpli?ed mathematical representations of the system. The exact purpose of a model and what its essential features should be is explained in the second section. The mathematical models that will be discussed in this book are dynami- 1 calsystems. A dynamical system is essentially a set of equations whose- lutiondescribesthe evolution,asafunction oftime, ofthe state ofthe system. There exist di?erent types of dynamical systems. Some of them are de?ned in the third section. 1 There is an extensive literature on mathematical modeling. The reader may, for example, consult [11,88,163,233].\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2010-09-21\u003c\/p\u003e \u003cp\u003eFormat: Hardcover\u003c\/p\u003e \u003cp\u003eISBN-13: 9781441965615\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-1-4419-6562-2\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 490\u003c\/p\u003e ","brand":"Springer New York","offers":[{"title":"Default Title","offer_id":45582226260108,"sku":"9781441965615","price":89.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9781441965615.jpg?v=1775766912","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9781441965615","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}