This book presents Sylvester's contributions to mathematics, including his work on partitions, binary matrices, and reciprocants. Exploring Sylvester's constructive theory of partitions arranged in three acts, an interact and an exodion, it examines how he proved theorems in regard to determinants. The book also delves into the equations in matrices Sylvester developed, equations that anticipated the work of Hamilton on quaternions. These equations in matrices, and Sylvester's work on binary matrices more broadly, were instrumental in the development of matrix theory. Sylvester's mathematical legacy is vast, and this book provides a valuable resource for understanding his most significant discoveries. His work had a major impact on the field of mathematics, and it continues to be studied and applied by mathematicians today.
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James Joseph Sylvester (1814-1897), a mathematician, poet, and wit, was one of the contributors to the nineteenth-century English tradition in algebra. He was also an early figure in the establishment of graduate education in mathematics in the United States. One of his main contributions, with Arthur Cayley, was to initiate the theory of algebraic invariants. Among Sylvester's classic results are his theory of elementary divisors and his law of inertia of quadratic forms. This four-volume set contains his collected works.
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Paperback. Condition: New. Print on Demand. This book presents Sylvester's contributions to mathematics, including his work on partitions, binary matrices, and reciprocants. Exploring Sylvester's constructive theory of partitions arranged in three acts, an interact and an exodion, it examines how he proved theorems in regard to determinants. The book also delves into the equations in matrices Sylvester developed, equations that anticipated the work of Hamilton on quaternions. These equations in matrices, and Sylvester's work on binary matrices more broadly, were instrumental in the development of matrix theory. Sylvester's mathematical legacy is vast, and this book provides a valuable resource for understanding his most significant discoveries. His work had a major impact on the field of mathematics, and it continues to be studied and applied by mathematicians today. 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 # 9781330360309_0
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