An Introduction to Combinatorial Analysis PDF Download
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Author: John Riordan
Publisher: Princeton University Press
ISBN: 1400854334
Category : Mathematics
Languages : en
Pages : 257
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Book Description
This book introduces combinatorial analysis to the beginning student. The author begins with the theory of permutation and combinations and their applications to generating functions. In subsequent chapters, he presents Bell polynomials; the principle of inclusion and exclusion; the enumeration of permutations in cyclic representation; the theory of distributions; partitions, compositions, trees and linear graphs; and the enumeration of restricted permutations. Originally published in 1980. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Author: John Riordan
Publisher: Princeton University Press
ISBN: 1400854334
Category : Mathematics
Languages : en
Pages : 257
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Book Description
This book introduces combinatorial analysis to the beginning student. The author begins with the theory of permutation and combinations and their applications to generating functions. In subsequent chapters, he presents Bell polynomials; the principle of inclusion and exclusion; the enumeration of permutations in cyclic representation; the theory of distributions; partitions, compositions, trees and linear graphs; and the enumeration of restricted permutations. Originally published in 1980. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Author: Philippe Flajolet
Publisher: Cambridge University Press
ISBN: 1139477161
Category : Mathematics
Languages : en
Pages : 825
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Book Description
Analytic combinatorics aims to enable precise quantitative predictions of the properties of large combinatorial structures. The theory has emerged over recent decades as essential both for the analysis of algorithms and for the study of scientific models in many disciplines, including probability theory, statistical physics, computational biology, and information theory. With a careful combination of symbolic enumeration methods and complex analysis, drawing heavily on generating functions, results of sweeping generality emerge that can be applied in particular to fundamental structures such as permutations, sequences, strings, walks, paths, trees, graphs and maps. This account is the definitive treatment of the topic. The authors give full coverage of the underlying mathematics and a thorough treatment of both classical and modern applications of the theory. The text is complemented with exercises, examples, appendices and notes to aid understanding. The book can be used for an advanced undergraduate or a graduate course, or for self-study.
Author: Percy A. MacMahon
Publisher: Courier Corporation
ISBN: 9780486495866
Category : Mathematics
Languages : en
Pages : 770
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Book Description
Account of combinatory analysis theorems shows their connections and unites them as parts of a general doctrine. Topics include symmetric functions, theory of number compositions, more. 1915, 1916, and 1920 editions.
Author: Douglas Stinson
Publisher: Springer Science & Business Media
ISBN: 0387217371
Category : Mathematics
Languages : en
Pages : 306
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Book Description
Created to teach students many of the most important techniques used for constructing combinatorial designs, this is an ideal textbook for advanced undergraduate and graduate courses in combinatorial design theory. The text features clear explanations of basic designs, such as Steiner and Kirkman triple systems, mutual orthogonal Latin squares, finite projective and affine planes, and Steiner quadruple systems. In these settings, the student will master various construction techniques, both classic and modern, and will be well-prepared to construct a vast array of combinatorial designs. Design theory offers a progressive approach to the subject, with carefully ordered results. It begins with simple constructions that gradually increase in complexity. Each design has a construction that contains new ideas or that reinforces and builds upon similar ideas previously introduced. A new text/reference covering all apsects of modern combinatorial design theory. Graduates and professionals in computer science, applied mathematics, combinatorics, and applied statistics will find the book an essential resource.
Author: Lawrence Hubert
Publisher: SIAM
ISBN: 9780898718553
Category : Science
Languages : en
Pages : 174
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Book Description
Combinatorial data analysis (CDA) refers to a wide class of methods for the study of relevant data sets in which the arrangement of a collection of objects is absolutely central. The focus of this monograph is on the identification of arrangements, which are then further restricted to where the combinatorial search is carried out by a recursive optimization process based on the general principles of dynamic programming (DP).
Author: Günther Jung
Publisher: John Wiley & Sons
ISBN: 352761351X
Category : Science
Languages : en
Pages : 634
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Book Description
The story of success goes on and on - with a new book on combinatorial chemistry, edited by Gunther Jung! Combinatorial chemistry is a proven time- and resource-saving synthetic method of outstanding importance for industrial processes. Compound libraries help to save time and money, especially in the search for new drugs, and therefore play a pivotal role in solving the problem of the worldwide increasing demand for new and more active drugs. Not only substances, which are of interest for pharmaceutical chemistry, but also materials, catalysts, and biomolecules such as DNA or oligosaccharides are readily available with high structural diversities. The broad scope of combinatorial sciences is reflected by this book, edited by Gunther Jung: The synthetic methods discussed range from solid-phase to solution-phase synthesis, from preparations of small molecules such as amines or alcohols to those of complex biomolecules. Feasible methods, efficient techniques, new trends in automation, and state-of-the-art fast instrumental analytical and screening methods are presented with many practical tips and tricks for everybody working in combinatorial chemistry. This is the book written by specialists for specialists and for everyone aspiring to become an insider! It is an indispensible source of information for researchers working in organic synthesis, catalysis, biochemistry, and biotechnology, pharmaceutical and clinical chemistry, material sciences, and analytical chemistry.
Author: Peter Nicholson
Publisher:
ISBN:
Category : Combinations
Languages : en
Pages : 270
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Book Description
Author: Eduardo Noble
Publisher: Springer Nature
ISBN: 3030938204
Category : Mathematics
Languages : en
Pages : 424
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Book Description
This text presents the ideas of a particular group of mathematicians of the late 18th century known as “the German combinatorial school” and its influence. The book tackles several questions concerning the emergence and historical development of the German combinatorial analysis, which was the unfinished scientific research project of that group of mathematicians. The historical survey covers the three main episodes in the evolution of that research project: its theoretical antecedents (which go back to the innovative ideas on mathematical analysis of the late 17th century) and first formulation, its consolidation as a foundationalist project of mathematical analysis, and its dissolution at the beginning of the 19th century. In addition, the book analyzes the influence of the ideas of the combinatorial school on German mathematics throughout the 19th century.
Author:
Publisher: CUP Archive
ISBN:
Category :
Languages : en
Pages : 330
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Book Description
Author: Richard Bellman
Publisher:
ISBN: 9780821813102
Category : Combinations
Languages : en
Pages : 0
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Book Description
