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This book provides an introduction and reference for researchers in commutative and differential algebra and could be used as the basis for a graduate course... Læs mere
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The distinctive compilation of topics in this text provides readers with a smooth and leisurely transition from basic number theory to graduate topics courses on the Langlands program.
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Ce livre constitue un expose detaille de la serie de cours donnes en 2020 par le Prof. Nicolas Bergeron, titulaire de la Chaire... Læs mere
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Marks the 20th anniversary of the New York Number Theory Seminar (NYNTS). Beginning in 1982, the NYNTS has tried to present research in number theory and related... Læs mere
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The book focuses on two major topics: Andrew Wiles' recent proof of the Taniyama-Shimura-Weil conjecture for semistable elliptic curves; and the earlier works of Frey, Serre, Ribet showing that Wiles' Theorem would complete the proof of Fermat's Last Theorem.
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Comprising the proceedings of a NATO workshop on numerical integration (both single and multidimensional), this work is divided into four parts: rules, error analysis, applications and algorithms and software. Many papers are relevant to more than one category.
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A treatment of computation and algorithms for finite fields. The book covers such topics as polynomial factorization, distribution of primitive... Læs mere
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Includes important advances in computational prime number theory and in factorization. This book treats four fundamental problems: the number of... Læs mere
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This book offers a comprehensive exploration of contemporary intersections between geometry, topology, and theoretical physics, emphasizing their mathematical foundations and applications.