Excerpt from Combinatory Analysis, Vol. 2
The ordinary partitions of Section VII are regarded, from this point of View, as essentially belonging to space of one dimension with a graphical representation in two dimensions. One generalization, taken up in Sections IX and X, considers partitions which appertain essentially to space of two dimensions, with a graphical representation in three dimensions.
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Paperback. Condition: New. Print on Demand. This book delves into the fascinating realm of combinatory analysis, exploring the arrangement and grouping of objects. While classic works in this field often focus on distinct objects, this book ventures into uncharted territory, presenting novel processes and concepts not found in previous literature. The author builds upon the foundations laid by mathematicians like Euler, delving into the algebra of partitions, exploring the ways numbers can be expressed as the sum of smaller integers. The book introduces innovative approaches, such as the application of Diophantine inequalities to partition theory, leading to a deeper understanding of this mathematical field. The exploration extends beyond one-dimensional partitions to delve into two-dimensional and even three-dimensional arrangements. The author unveils the intricate connections between partition theory and other areas of combinatorics, including the study of compositions, permutations, and symmetric functions. Through clear explanations and insightful examples, this book offers a comprehensive and thought-provoking journey into the world of combinatory analysis, revealing the profound elegance and interconnectedness of mathematical structures. 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 # 9781330390580_0
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781330390580
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781330390580
Quantity: 15 available