{"product_id":"9781461443391","title":"SpringerBriefs in Optimization","description":"\u003ch1\u003eSpringerBriefs in Optimization\u003c\/h1\u003e \u003ch2\u003eScholtes, Stefan\u003c\/h2\u003e \u003cp\u003e​​​​​​​\u003c\/p\u003e\u003cp\u003eThis brief\u003ci\u003e \u003c\/i\u003eprovides an elementary introduction to the theory of piecewise differentiable functions with an emphasis on differentiable equations.  In the first chapter, two sample problems are used to motivate the study of this theory. The presentation is then developed using two basic tools for the analysis of piecewise differentiable functions: the Bouligand derivative as the nonsmooth analogue of the classical derivative concept and the theory of piecewise affine functions as the combinatorial tool for the study of this approximation function. In the end, the results are combined to develop inverse and implicit function theorems for piecewise differentiable equations.  \u003cbr\u003e\u003cbr\u003e\u003ci\u003eThis\u003c\/i\u003e\u003ci\u003e Introduction to Piecewise Differentiable Equations\u003c\/i\u003e will serve graduate students and researchers alike. The reader is assumed to be familiar with basic mathematical analysis and to have some familiarity with polyhedral theory.\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2012-08-01\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9781461443391\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-1-4614-4340-7\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 133\u003c\/p\u003e ","brand":"Springer New York","offers":[{"title":"Default Title","offer_id":45383190642828,"sku":"9781461443391","price":49.49,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9781461443391.jpg?v=1775790171","url":"https:\/\/lateknightbooks.com\/products\/9781461443391","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}