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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.
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.
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.
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
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
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.
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.
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
Author: Jan Bouwe van den Berg
Publisher: American Mathematical Soc.
ISBN: 1470428148
Category : Mathematics
Languages : en
Pages : 226
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Book Description
This volume is based on lectures delivered at the 2016 AMS Short Course “Rigorous Numerics in Dynamics”, held January 4–5, 2016, in Seattle, Washington. Nonlinear dynamics shapes the world around us, from the harmonious movements of celestial bodies, via the swirling motions in fluid flows, to the complicated biochemistry in the living cell. Mathematically these phenomena are modeled by nonlinear dynamical systems, in the form of ODEs, PDEs and delay equations. The presence of nonlinearities complicates the analysis, and the difficulties are even greater for PDEs and delay equations, which are naturally defined on infinite dimensional function spaces. With the availability of powerful computers and sophisticated software, numerical simulations have quickly become the primary tool to study the models. However, while the pace of progress increases, one may ask: just how reliable are our computations? Even for finite dimensional ODEs, this question naturally arises if the system under study is chaotic, as small differences in initial conditions (such as those due to rounding errors in numerical computations) yield wildly diverging outcomes. These issues have motivated the development of the field of rigorous numerics in dynamics, which draws inspiration from ideas in scientific computing, numerical analysis and approximation theory. The articles included in this volume present novel techniques for the rigorous study of the dynamics of maps via the Conley-index theory; periodic orbits of delay differential equations via continuation methods; invariant manifolds and connecting orbits; the dynamics of models with unknown nonlinearities; and bifurcations diagrams.
Author: Dingyi Pei
Publisher: CRC Press
ISBN: 1420003186
Category : Computers
Languages : en
Pages : 253
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Book Description
Researchers and practitioners of cryptography and information security are constantly challenged to respond to new attacks and threats to information systems. Authentication Codes and Combinatorial Designs presents new findings and original work on perfect authentication codes characterized in terms of combinatorial designs, namely strong partially
Author: Lisa B. English
Publisher: Springer Science & Business Media
ISBN: 1592592856
Category : Science
Languages : en
Pages : 380
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Book Description
The continued successes of large- and small-scale genome sequencing projects are increasing the number of genomic targets available for drug d- covery at an exponential rate. In addition, a better understanding of molecular mechanisms—such as apoptosis, signal transduction, telomere control of ch- mosomes, cytoskeletal development, modulation of stress-related proteins, and cell surface display of antigens by the major histocompatibility complex m- ecules—has improved the probability of identifying the most promising genomic targets to counteract disease. As a result, developing and optimizing lead candidates for these targets and rapidly moving them into clinical trials is now a critical juncture in pharmaceutical research. Recent advances in com- natorial library synthesis, purification, and analysis techniques are not only increasing the numbers of compounds that can be tested against each specific genomic target, but are also speeding and improving the overall processes of lead discovery and optimization. There are two main approaches to combinatorial library production: p- allel chemical synthesis and split-and-mix chemical synthesis. These approaches can utilize solid- or solution-based synthetic methods, alone or in combination, although the majority of combinatorial library synthesis is still done on solid support. In a parallel synthesis, all the products are assembled separately in their own reaction vessels or microtiter plates. The array of rows and columns enables researchers to organize the building blocks to be c- bined, and provides an easy way to identify compounds in a particular well.
