Lecture Notes on Lattices, Bases, and the Reduction Problem: Expository Notes (Classic Reprint) - Softcover
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Excerpt from Lecture Notes on Lattices, Bases, and the Reduction Problem: Expository Notes
The subject of geometry of numbers was developed by Minkowski around the turn of the century. This has been a classical tool in subjects such as integral quadratic forms, diophantine approximations. However, it occupied its renewed role as a powerful tool in Computer Science, after h.w. Lenstra used it to give a polynomial time algorithm for the Integer Programming (feasibility) Problem for fixed number of variables. Since then it has been used to give efficient algorithms in as diverse areas as simultaneous diophan tine approximations, cryptography, solvability by radicals, low density subset sum problem, computing with algebraic numbers, factorization of polynomi als over finite fields.
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Lecture Notes on Lattices, Bases, and the Reduction Problem: Expository Notes
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Paperback. Condition: New. Print on Demand. This book delves into the enigmatic world of lattices, bases, and the captivating reduction problem. Once exclusively explored within esoteric mathematical circles, the author unveils these concepts with an accessible approach, demonstrating their applications in contemporary computer science. The book ingeniously reformulates complex problems as geometric puzzles involving lattices, providing a novel perspective that has revolutionized algorithms in diverse fields. The author masterfully weaves together classical theory and cutting-edge insights, offering a comprehensive guide to this fascinating mathematical landscape. Through captivating historical accounts and illuminating examples, this book empowers readers to delve into the depths of lattice theory, unravel the reduction problem, and appreciate its profound implications for both theoretical and practical domains. With its lucid explanations and illuminating approach, this book offers a captivating journey into a world of mathematical elegance and computational ingenuity. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Seller Inventory # 9781332150113_0
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Lecture Notes on Lattices, Bases, and the Reduction Problem Expository Notes Classic Reprint
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Lecture Notes on Lattices, Bases, and the Reduction Problem Expository Notes Classic Reprint
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