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This book treats the problem of formulating models in mathematical programming, and thereafter solving the resulting model. Particular emphasis is placed on the interaction between the two. The topic is viewed from different angles, namely linear programming (Walter Murray), integer programming (Ellis Johnson), network flows (John Mulvey), and stochastic programming (Roger J-B Wets). The book will be very useful for any mathematics programmer or operations researcher who works in the field of real-world modelling. The book is an important part of any university course in modelling, particularly in operations research, economics and business. The book also contains an article on the origins of mathematical programming (Alexander Rinnooy Kan). This is important reading for anyone interested in the history of the field.