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John (Johannes) Helt was likely born ca. 1737 in Holland. He immigrated to America with his father (Henry Helt) on the ship "Rowand" and arrived at the port of Philadelphia 29 September 1753. John married Hannah (surname unknown) in 1758. Hannah died and John then married Maria Folckroth 8 April 1780 in the St. Michael's Lutheran Church in Philadelphia, Pennsylvania. John was the father of four children. John had a son (John Helt Jr.) who married Maria Folkroth. Maria was a descendant of Johann Adam Foulkrow who immigrated to America in 1733 from Reichstadt, Germany. Descendants John Helt and Johann Foulkrow lived primarily in Pennsylvania and elsewhere.
As the primary tool for doing explicit computations in polynomial rings in many variables, Gröbner bases are an important component of all computer algebra systems. They are also important in computational commutative algebra and algebraic geometry. This book provides a leisurely and fairly comprehensive introduction to Gröbner bases and their applications. Adams and Loustaunau cover the following topics: the theory and construction of Gröbner bases for polynomials with coefficients in a field, applications of Gröbner bases to computational problems involving rings of polynomials in many variables, a method for computing syzygy modules and Gröbner bases in modules, and the theory of Gröbner bases for polynomials with coefficients in rings. With over 120 worked examples and 200 exercises, this book is aimed at advanced undergraduate and graduate students. It would be suitable as a supplement to a course in commutative algebra or as a textbook for a course in computer algebra or computational commutative algebra. This book would also be appropriate for students of computer science and engineering who have some acquaintance with modern algebra.
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State-of-the-science methods, synthetic routes, and strategies to construct aromatic rings The development of new reactions for the synthesis of aromatic compounds is a highly active research area in organic synthesis, providing new functional organic materials, functional reagents, and biologically active compounds. Recently, significant advances in transition-metal-mediated reactions have enabled the efficient and practical construction of new aromatic rings with useful properties and applications. This book draws together and reviews all the latest discoveries and methods in transition-metal-mediated reactions, offering readers promising new routes to design and construct complex aromatic...
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