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Some of the topics featured include the interplay between total domination in graphs and transversals in hypergraphs, and the association with total domination in graphs and diameter-2-critical graphs.
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This book features challenging problems of classical analysis that invite the reader to explore a host of strategies and tools used for solving problems of modern topics in real analysis.
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Here is a comprehensive overview of the mathematical life of Paul Erdos (1913-1996), a versatile and prolific mathematician. This second volume covers graph theory and combinatorics, extremal and Ramsey theory, and Erdos's research on set theory.
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Here is a comprehensive overview of the mathematical life of the legendary Paul Erdos (1913-1996), one of the most versatile and prolific mathematicians of our time. This first volume features personal memories of Paul Erdos by a number of his colleagues.
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Topic (A) can be further divided into two types of theories: (a1) Classi?cation over an algebraic number ?eld; At some point we need the Hasse norm theorem for a quadratic... Læs mere
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Introduces fundamentals of information and communication security by providing appropriate mathematical concepts to... Læs mere
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In the introduction to the first volume of The Arithmetic of Elliptic Curves (Springer-Verlag, 1986), I observed that "the theory of elliptic curves is rich, varied, and amazingly vast," and as a consequence, "many important topics had to be omitted."
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Analytic Number Theory presents some of the central topics in number theory in a simple and concise fashion. A "Natural" Proof of the Non-vanishing of L-Series, and a Simple... Læs mere
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Monomial Algebras presents algebraic, combinatorial, and computational methods for studying monomial algebras and their ideals, including Stanley–Reisner rings, monomial subrings, Ehrhart rings, and blowup algebras
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Based on talks from the 2017 and 2018 Combinatorial and Additive Number Theory (CANT) workshops at the City University of New York, these proceedings offer 17 peer-reviewed and edited papers on current topics in number theory.
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Covering topics such as rings and algebras, representation theory, number theory, operator algebras, category theory, group theory and information theory, it opens up new avenues of study for graduate students and young researchers.
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A polymath, Jonathan Borwein ranks among the most wide ranging and influential mathematicians of the last 50 years, making significant contributions to an exceptional diversity of areas and substantially expanding the use of the computer as a tool of the research mathematician.