An Invitation to Analytic Combinatorics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook An Invitation to Analytic Combinatorics write by Stephen Melczer. This book was released on 2020-12-22. An Invitation to Analytic Combinatorics available in PDF, EPUB and Kindle. This book uses new mathematical tools to examine broad computability and complexity questions in enumerative combinatorics, with applications to other areas of mathematics, theoretical computer science, and physics. A focus on effective algorithms leads to the development of computer algebra software of use to researchers in these domains. After a survey of current results and open problems on decidability in enumerative combinatorics, the text shows how the cutting edge of this research is the new domain of Analytic Combinatorics in Several Variables (ACSV). The remaining chapters of the text alternate between a pedagogical development of the theory, applications (including the resolution by this author of conjectures in lattice path enumeration which resisted several other approaches), and the development of algorithms. The final chapters in the text show, through examples and general theory, how results from stratified Morse theory can help refine some of these computability questions. Complementing the written presentation are over 50 worksheets for the SageMath and Maple computer algebra systems working through examples in the text.
Analytic Combinatorics
Analytic Combinatorics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Analytic Combinatorics write by Philippe Flajolet. This book was released on 2009-01-15. Analytic Combinatorics available in PDF, EPUB and Kindle. 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.
Analytic Combinatorics in Several Variables
Analytic Combinatorics in Several Variables - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Analytic Combinatorics in Several Variables write by Robin Pemantle. This book was released on 2013-05-31. Analytic Combinatorics in Several Variables available in PDF, EPUB and Kindle. Aimed at graduate students and researchers in enumerative combinatorics, this book is the first to treat the analytic aspects of combinatorial enumeration from a multivariate perspective.
Analytic Combinatorics in Several Variables
Analytic Combinatorics in Several Variables - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Analytic Combinatorics in Several Variables write by Robin Pemantle. This book was released on 2024-02-15. Analytic Combinatorics in Several Variables available in PDF, EPUB and Kindle. Introduces the theory of multivariate generating functions, with new exercises, computational examples, and a conceptual overview chapter.
Analytic Combinatorics for Multiple Object Tracking
Analytic Combinatorics for Multiple Object Tracking - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Analytic Combinatorics for Multiple Object Tracking write by Roy Streit. This book was released on 2020-11-26. Analytic Combinatorics for Multiple Object Tracking available in PDF, EPUB and Kindle. The book shows that the analytic combinatorics (AC) method encodes the combinatorial problems of multiple object tracking—without information loss—into the derivatives of a generating function (GF). The book lays out an easy-to-follow path from theory to practice and includes salient AC application examples. Since GFs are not widely utilized amongst the tracking community, the book takes the reader from the basics of the subject to applications of theory starting from the simplest problem of single object tracking, and advancing chapter by chapter to more challenging multi-object tracking problems. Many established tracking filters (e.g., Bayes-Markov, PDA, JPDA, IPDA, JIPDA, CPHD, PHD, multi-Bernoulli, MBM, LMBM, and MHT) are derived in this manner with simplicity, economy, and considerable clarity. The AC method gives significant and fresh insights into the modeling assumptions of these filters and, thereby, also shows the potential utility of various approximation methods that are well established techniques in applied mathematics and physics, but are new to tracking. These unexplored possibilities are reviewed in the final chapter of the book.
