{"title":"Alexander Schrijver","description":"\u003cp\u003eWelcome to the collection of books by the renowned mathematician and academic, Alexander Schrijver. Known for his significant contributions to the field of mathematical optimisation and combinatorial optimisation, Schrijver's works are a treasure trove for those interested in the intricate world of mathematics and its applications.\u003c\/p\u003e\n\n\u003cp\u003eAmong his esteemed works is the \u003cem\u003eTheory of Linear and Integer Programming\u003c\/em\u003e, a comprehensive exploration of linear and integer programming. This book is essential reading for anyone fascinated by the algorithms and theories that drive decisions in operations research, economics, and beyond.\u003c\/p\u003e\n\n\u003cp\u003eAlexander Schrijver's books fall under the \u003cem\u003eScience \u0026amp; Nature\u003c\/em\u003e category, specifically targeting learners, educators, and professionals who wish to delve deeper into the principles that govern mathematical models and their real-world applications. His clear, methodical approach ensures that complex topics are accessible, making this collection ideal for both personal learning and academic use.\u003c\/p\u003e\n\n\u003cp\u003eWhether you're a student, a researcher, or just passionate about science and nature, Schrijver's works offer invaluable insights and a solid foundation in mathematical theory. Explore his collection to enhance your understanding and appreciation of the power of mathematics.\u003c\/p\u003e","products":[{"product_id":"theory-of-linear-and-integer-programming-by-alexander-schrijver-9780471982326","title":"Theory of Linear and Integer Programming","description":"\u003cdiv class=\"book-description\"\u003e\n\u003cp\u003e\u003cem\u003eTheory of Linear and Integer Programming\u003c\/em\u003e by Alexander Schrijver from the Centrum voor Wiskunde en Informatica, Amsterdam, The Netherlands, describes the theory of linear and integer programming and surveys the algorithms for linear and integer programming problems, focusing on complexity analysis.\u003c\/p\u003e\n\n\u003cp\u003eThis book aims to complement the more practically oriented books in this field. A special feature is the author's coverage of important recent developments in linear and integer programming. Applications to combinatorial optimisation are given, and the author also includes extensive historical surveys and bibliographies.\u003c\/p\u003e\n\n\u003cp\u003eThe book is intended for graduate students and researchers in operations research, mathematics, and computer science. It will also be of interest to mathematical historians.\u003c\/p\u003e\n\n\u003cp\u003eContents:\u003c\/p\u003e\n\n\u003cp\u003e1. Introduction and preliminaries\u003cbr\u003e\n2. Problems, algorithms, and complexity\u003cbr\u003e\n3. Linear algebra and complexity\u003cbr\u003e\n4. Theory of lattices and linear diophantine equations\u003cbr\u003e\n5. Algorithms for linear diophantine equations\u003cbr\u003e\n6. Diophantine approximation and basis reduction\u003cbr\u003e\n7. Fundamental concepts and results on polyhedra, linear inequalities, and linear programming\u003cbr\u003e\n8. The structure of polyhedra\u003cbr\u003e\n9. Polarity, and blocking and anti-blocking polyhedra\u003cbr\u003e\n10. Sizes and the theoretical complexity of linear inequalities and linear programming\u003cbr\u003e\n11. The simplex method\u003cbr\u003e\n12. Primal-dual, elimination, and relaxation methods\u003cbr\u003e\n13. Khachiyan's method for linear programming\u003cbr\u003e\n14. The ellipsoid method for polyhedra more generally\u003cbr\u003e\n15. Further polynomiality results in linear programming\u003cbr\u003e\n16. Introduction to integer linear programming\u003cbr\u003e\n17. Estimates in integer linear programming\u003cbr\u003e\n18. The complexity of integer linear programming\u003cbr\u003e\n19. Totally unimodular matrices: fundamental properties and examples\u003cbr\u003e\n20. Recognising total unimodularity\u003cbr\u003e\n21. Further theory related to total unimodularity\u003cbr\u003e\n22. Integral polyhedra and total dual integrality\u003cbr\u003e\n23. Cutting planes\u003cbr\u003e\n24. Further methods in integer linear programming\u003cbr\u003e\n25. Historical and further notes on integer linear programming\u003cbr\u003e\n26. References\u003cbr\u003e\n27. Notation index\u003cbr\u003e\n28. Author index\u003cbr\u003e\n29. Subject index\u003c\/p\u003e\n\u003c\/div\u003e","brand":"Unknown","offers":[{"title":"Default Title","offer_id":46855127138540,"sku":"9780471982326","price":207.99,"currency_code":"NZD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0705\/7784\/8556\/files\/9780471982326.jpg?v=1759263070"}],"url":"https:\/\/bookhero.co.nz\/collections\/alexander-schrijver.oembed","provider":"Book Hero","version":"1.0","type":"link"}