Combinatory Analysis, Vol. 2 (Classic Reprint)
Language: English
Published by Forgotten Books, 2018
- Softcover
- New
Seller: Forgotten Books, London, United KingdomForgotten Books
AbeBooks seller since June 2, 2021
Condition: New
£ 17.55
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Add to basketItem description from seller
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. …
Seller Inventory # 9781330390580_0
- Title
- Combinatory Analysis, Vol. 2 (Classic Reprint)
- Author
- Percy A. Macmahon
- Publisher
- Forgotten Books
- Publication year
- 2018
- Condition
- New
- Book Type
- print-on-demand item
- Binding
- Paperback
- Language
- English
- ISBN 10
- 133039058X
- ISBN 13
- 9781330390580
- Seller catalogs
- Algebra
This edition builds on the theory of expressibility and the dual generalization of classic results, including how distributions relate to partitions, tables of separations, and the algebra of symmetric functions. It emphasizes conceptual understanding alongside formal derivations, with detailed theorems and their proofs that illuminate the connections between partitions, generating functions, and group structures in combinatorics.
- Learn how partitions, partitions on lines and planes, and solid graphs connect in two and three dimensions.
- Study the symmetry of functions, the role of separations, and the dual nature of generalized formulas.
- Follow structured proofs and examples that illustrate how generating functions enumerate complex combinatorial objects.
- See how operator methods and differential approaches streamline counting and relationships between quantities.
Ideal for readers of advanced combinatorics, algebraic methods in enumeration, and mathematical theory of partitions.
"Synopsis" may belong to another edition of this title.
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Forgotten Books’ Classic Reprint Series utilizes the latest technology to regenerate facsimiles of historically important writings. Careful attention has been made to accurately preserve the original format of each page whilst digitally enhancing the quality of the aged text.
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Forgotten Books publishes hundreds of thousands of rare and classic books.
This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
This text has been digitally restored from a historical edition. Some errors may persist, however we consider it worth publishing due to the work's historical value.
The digital edition of all books may be viewed before purchase if you request a sample.
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