What are the prerequisites to learning integer programming and what textbooks would you recommend to learn it?

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There was this course in many undergraduate mathematics programs called integer programming. It included Modelling, Linear Programming Primal, Linear Programming Duality, Dual Simplex Algorithm and Alternative IP Formulations, Total unimodularity, sub-modularity, Matroids, Branch and Bound, Delayed Column Generation, Branch and Price, Lagrangian Relaxation, Lagrangian Dual, Cutting Planes, Gomory Cuts, Branch and Cut. I am a high school student and know introductory university mathematics, such as single and multivariable calculus, ordinary differential equations and elementary linear algebra(I read linear algebra by Gilbert Strang).

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You might be interested in Wolsey’s Integer Programming (1998).

See also https://or.stackexchange.com/questions/8333/books-for-integer-and-mixed-integer-programming