{"product_id":"algebra-and-discrete-mathematics-for-klaus-denecke-9783112234426","title":"Algebra and Discrete Mathematics for Economics: Numbers, Graphs and Matrices in Input-Output Economics","description":"\u003cp\u003eAlgebra and Discrete Mathematics are essential tools also for economists. \u003cbr\u003eGlobalization makes that goods and services are exchanged worldwide. Input-output analysis uses the advantage of a relatively stable flow of commodities and services. The essential principles can be described by input-output tables. Such tables correspond to systems of linear equations, written as single equations consisting of matrices whose entries are non-negative rational numbers. The flow itself can be described by a directed edge-valued graph where the sets of values consist of positive rational numbers. Therefore numbers, especially non-negative rational numbers, multiple-partite graphs and matrices with non-negative rational entries play an important role in input-output analysis. Thus knowledge from Algebra and Discrete Mathematics becomes more and more useful in this area.\u003cbr\u003eWe will consider a particular set of graphs, the so-called input-output graphs and a particular set of matrices, the input-output matrices, define a partial binary operation on each of these sets and prove that we obtain weakly isomorphic weakly partial semigroups. The result of considering this situation can be applied to multiple-step production processes, to material reqirements planning and to internal cost allocation of a business. \u003cbr\u003eThe results show that Algebra and Discrete Mathematics are quite useful for mathematical modeling in Economy.\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Klaus Denecke\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 3112234421\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9783112234426\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e de Gruyter\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 06\/22\/2026\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 310\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.10lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.61h x 6.69w x 0.65d","brand":"Klaus Denecke","offers":[{"title":"Paperback","offer_id":48997594857727,"sku":"9783112234426","price":87.99,"currency_code":"USD","in_stock":true}],"url":"https:\/\/www.whiterainbookhouse.com\/products\/algebra-and-discrete-mathematics-for-klaus-denecke-9783112234426","provider":"WR Book House","version":"1.0","type":"link"}