Combinatorial Enumeration

Combinatorial Enumeration PDF Author: Ian P. Goulden
Publisher: Courier Corporation
ISBN: 0486435970
Category : Mathematics
Languages : en
Pages : 609

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Book Description
This graduate-level text presents mathematical theory and problem-solving techniques associated with enumeration problems. Subjects include the combinatorics of the ordinary generating function and the exponential generating function, the combinatorics of sequences, and the combinatorics of paths. The text is complemented by approximately 350 exercises with full solutions. 1983 edition. Foreword by Gian-Carlo Rota. References. Index.

A Combinatorial Introduction to Topology

A Combinatorial Introduction to Topology PDF Author: Michael Henle
Publisher: Courier Corporation
ISBN: 9780486679662
Category : Mathematics
Languages : en
Pages : 340

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Book Description
Excellent text covers vector fields, plane homology and the Jordan Curve Theorem, surfaces, homology of complexes, more. Problems and exercises. Some knowledge of differential equations and multivariate calculus required.Bibliography. 1979 edition.

Combinatorial Enumeration

Combinatorial Enumeration PDF Author: Ian P. Goulden
Publisher: Courier Corporation
ISBN: 0486435970
Category : Mathematics
Languages : en
Pages : 609

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Book Description
This graduate-level text presents mathematical theory and problem-solving techniques associated with enumeration problems. Subjects include the combinatorics of the ordinary generating function and the exponential generating function, the combinatorics of sequences, and the combinatorics of paths. The text is complemented by approximately 350 exercises with full solutions. 1983 edition. Foreword by Gian-Carlo Rota. References. Index.

The Combinatorial Index

The Combinatorial Index PDF Author: Barry A. Bunin
Publisher: Elsevier
ISBN: 0080542409
Category : Science
Languages : en
Pages : 341

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Book Description
With the explosion of combinatorial solid-phase methods, access to information has become one of the main barriers facing a synthetic chemist who is contemplating a combinatorial approach to a medicinal chemistry problem. The Combinatorial Index is an answer to that problem. This compendium of methods from the primary literature provides quick and convenient access to reliable synthetic transformations as well as information on linkers and analytical methods. Each synthetic procedure is preceded by a section entitled"Points of Interest,"which highlights the strengths and weaknesses of the various studies. The index also covers the use of solution-based synthesis for the generation of molecular diversity. - Organized for rapid retrieval of published information on classes of synthetic transformations, linkers, and analytical methods - Serves as a laboratory manual for bench chemists - Includes a chapter on linkers to assist in choice of linking strategy - Discusses strengths and limitations of the various methods - Contains a structural index showing functional group transformations in solid-phase synthesis

Combinatorial Optimization

Combinatorial Optimization PDF Author: Alexander Schrijver
Publisher: Springer Science & Business Media
ISBN: 9783540443896
Category : Business & Economics
Languages : en
Pages : 2024

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Book Description
From the reviews: "About 30 years ago, when I was a student, the first book on combinatorial optimization came out referred to as "the Lawler" simply. I think that now, with this volume Springer has landed a coup: "The Schrijver". The box is offered for less than 90.- EURO, which to my opinion is one of the best deals after the introduction of this currency." OR-Spectrum

Handbook of Combinatorial Chemistry

Handbook of Combinatorial Chemistry PDF Author: K. C. Nicolaou
Publisher: Wiley-VCH
ISBN:
Category : Medical
Languages : en
Pages : 652

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Book Description
In two volumes, this comprehensive handbook provides coverage of the whole area of combinatorial synthetic chemistry, including compound library design and synthesis.

Combinatorial Chemistry

Combinatorial Chemistry PDF Author: Nicholas K. Terrett
Publisher:
ISBN: 9780198502197
Category : Science
Languages : en
Pages : 204

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Book Description
Combinatorial chemistry, by accelerating the process of chemical synthesis, is having a profound effect on all branches of chemistry, but especially on drug discovery. This informative text explains the origins of combinatorial chemistry and puts the many diverse library methods into context. It explains why some techniques are generally applicable and others are for specialists only. It also focuses on the renaissance of solid phase chemistry and describes the range of available reactions. This is the first single author book in this important, growing field and it describes the beneficial impact of combinatorial chemistry, especially for the discovery and optimisation of biologically active molecules. This concise and comprehensive overview of combinatorial techniques is an essential text for final year undergraduates, postgraduates, academics and industrialists in chemistry, bio-orgainc chemistry, medicinal chemistry and drug discovery. It provides an accessible introduction to the area for those new to these methods and a valuable reference text to those experienced in this field.

Algebraic Combinatorics

Algebraic Combinatorics PDF Author: Richard P. Stanley
Publisher: Springer Science & Business Media
ISBN: 1461469988
Category : Mathematics
Languages : en
Pages : 226

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Book Description
Written by one of the foremost experts in the field, Algebraic Combinatorics is a unique undergraduate textbook that will prepare the next generation of pure and applied mathematicians. The combination of the author’s extensive knowledge of combinatorics and classical and practical tools from algebra will inspire motivated students to delve deeply into the fascinating interplay between algebra and combinatorics. Readers will be able to apply their newfound knowledge to mathematical, engineering, and business models. The text is primarily intended for use in a one-semester advanced undergraduate course in algebraic combinatorics, enumerative combinatorics, or graph theory. Prerequisites include a basic knowledge of linear algebra over a field, existence of finite fields, and group theory. The topics in each chapter build on one another and include extensive problem sets as well as hints to selected exercises. Key topics include walks on graphs, cubes and the Radon transform, the Matrix–Tree Theorem, and the Sperner property. There are also three appendices on purely enumerative aspects of combinatorics related to the chapter material: the RSK algorithm, plane partitions, and the enumeration of labeled trees. Richard Stanley is currently professor of Applied Mathematics at the Massachusetts Institute of Technology. Stanley has received several awards including the George Polya Prize in applied combinatorics, the Guggenheim Fellowship, and the Leroy P. Steele Prize for mathematical exposition. Also by the author: Combinatorics and Commutative Algebra, Second Edition, © Birkhauser.

Essays on the combinatorial analysis

Essays on the combinatorial analysis PDF Author: Peter Nicholson
Publisher:
ISBN:
Category : Combinations
Languages : en
Pages : 270

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Book Description


Distributed Computing Through Combinatorial Topology

Distributed Computing Through Combinatorial Topology PDF Author: Maurice Herlihy
Publisher: Newnes
ISBN: 0124047289
Category : Computers
Languages : en
Pages : 335

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Book Description
Distributed Computing Through Combinatorial Topology describes techniques for analyzing distributed algorithms based on award winning combinatorial topology research. The authors present a solid theoretical foundation relevant to many real systems reliant on parallelism with unpredictable delays, such as multicore microprocessors, wireless networks, distributed systems, and Internet protocols. Today, a new student or researcher must assemble a collection of scattered conference publications, which are typically terse and commonly use different notations and terminologies. This book provides a self-contained explanation of the mathematics to readers with computer science backgrounds, as well as explaining computer science concepts to readers with backgrounds in applied mathematics. The first section presents mathematical notions and models, including message passing and shared-memory systems, failures, and timing models. The next section presents core concepts in two chapters each: first, proving a simple result that lends itself to examples and pictures that will build up readers' intuition; then generalizing the concept to prove a more sophisticated result. The overall result weaves together and develops the basic concepts of the field, presenting them in a gradual and intuitively appealing way. The book's final section discusses advanced topics typically found in a graduate-level course for those who wish to explore further. - Named a 2013 Notable Computer Book for Computing Methodologies by Computing Reviews - Gathers knowledge otherwise spread across research and conference papers using consistent notations and a standard approach to facilitate understanding - Presents unique insights applicable to multiple computing fields, including multicore microprocessors, wireless networks, distributed systems, and Internet protocols - Synthesizes and distills material into a simple, unified presentation with examples, illustrations, and exercises

Analytic Combinatorics

Analytic Combinatorics PDF 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.