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Foundations of Applied Combinatorics

1991 Mathematics
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Release : 1991
Genre : Mathematics
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis Foundations of Applied Combinatorics by : Edward A. Bender

Download or read book Foundations of Applied Combinatorics written by Edward A. Bender. This book was released on 1991. Available in PDF, EPUB and Kindle. Book excerpt: This introduction to combinatorics is suitable for upper-level undergraduates and graduate students in engineering, science, and mathematics. The four-part treatment begins with a section on counting and listing that covers basic counting, functions, decision trees, and sieving methods. The following section addresses fundamental concepts in graph theory and a sampler of graph topics. The third part examines induction and recursion, sorting theory, and rooted plane trees. The final section, on generating functions, offers students a powerful tool for studying counting problems. Numerous exercises (some with solutions), notes, and references appear throughout the text. 75 figures. Appendixes.

Foundations of Combinatorics with Applications

2013-01-18 Mathematics
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Release : 2013-01-18
Genre : Mathematics
Kind : eBook
Book Rating : 506/5 ( reviews)

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Book Synopsis Foundations of Combinatorics with Applications by : Edward A. Bender

Download or read book Foundations of Combinatorics with Applications written by Edward A. Bender. This book was released on 2013-01-18. Available in PDF, EPUB and Kindle. Book excerpt: This introduction to combinatorics, the foundation of the interaction between computer science and mathematics, is suitable for upper-level undergraduates and graduate students in engineering, science, and mathematics. The four-part treatment begins with a section on counting and listing that covers basic counting, functions, decision trees, and sieving methods. The following section addresses fundamental concepts in graph theory and a sampler of graph topics. The third part examines a variety of applications relevant to computer science and mathematics, including induction and recursion, sorting theory, and rooted plane trees. The final section, on generating functions, offers students a powerful tool for studying counting problems. Numerous exercises appear throughout the text, along with notes and references. The text concludes with solutions to odd-numbered exercises and to all appendix exercises.

Applied Combinatorics on Words

2005-07-11 Computers
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Release : 2005-07-11
Genre : Computers
Kind : eBook
Book Rating : 022/5 ( reviews)

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Book Synopsis Applied Combinatorics on Words by : M. Lothaire

Download or read book Applied Combinatorics on Words written by M. Lothaire. This book was released on 2005-07-11. Available in PDF, EPUB and Kindle. Book excerpt: Publisher Description

Analytic Combinatorics

2009-01-15 Mathematics
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Release : 2009-01-15
Genre : Mathematics
Kind : eBook
Book Rating : 161/5 ( reviews)

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Book Synopsis Analytic Combinatorics by : Philippe Flajolet

Download or read book Analytic Combinatorics written by Philippe Flajolet. This book was released on 2009-01-15. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Combinatorics: The Art of Counting

2020-10-16 Education
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Release : 2020-10-16
Genre : Education
Kind : eBook
Book Rating : 327/5 ( reviews)

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Book Synopsis Combinatorics: The Art of Counting by : Bruce E. Sagan

Download or read book Combinatorics: The Art of Counting written by Bruce E. Sagan. This book was released on 2020-10-16. Available in PDF, EPUB and Kindle. Book excerpt: This book is a gentle introduction to the enumerative part of combinatorics suitable for study at the advanced undergraduate or beginning graduate level. In addition to covering all the standard techniques for counting combinatorial objects, the text contains material from the research literature which has never before appeared in print, such as the use of quotient posets to study the Möbius function and characteristic polynomial of a partially ordered set, or the connection between quasisymmetric functions and pattern avoidance. The book assumes minimal background, and a first course in abstract algebra should suffice. The exposition is very reader friendly: keeping a moderate pace, using lots of examples, emphasizing recurring themes, and frankly expressing the delight the author takes in mathematics in general and combinatorics in particular.

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