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Algebraic Combinatorics on Words
Comprehensive 2002 introduction to combinatorics on words for mathematicians and theoretical computer scientists.
Combinatorics on Words
Combinatorics on words, or finite sequences, is a field which grew simultaneously within disparate branches of mathematics such as group theory and probability. It has grown into an independent theory finding substantial applications in computer science automata theory and liguistics. This volume is the first to present a thorough treatment of this theory. All of the main results and techniques are covered. The presentation is accessible to undergraduate and graduate level students in mathematics and computer science as well as to specialists in all branches of applied mathematics.
Applied Combinatorics on Words
Publisher Description
Real Analysis Through Modern Infinitesimals
A coherent, self-contained treatment of the central topics of real analysis employing modern infinitesimals.
Combinatorics, Automata and Number Theory
This series is devoted to significant topics or themes that have wide application in mathematics or mathematical science and for which a detailed development of the abstract theory is less important than a thorough and concrete exploration of the implications and applications. Books in the Encyclopedia of Mathematics and its Applications cover their subjects comprehensively. Less important results may be summarised as exercises at the ends of chapters, For technicalities, readers can be referred to the bibliography, which is expected to be comprehensive. As a result, volumes are encyclopedic references or manageable guides to major subjects.
Relational Mathematics
Relational mathematics is to operations research and informatics what numerical mathematics is to engineering: it is intended to help modelling, reasoning, and computing. Its applications are therefore diverse, ranging from psychology, linguistics, decision aid, and ranking to machine learning and spatial reasoning. Although many developments have been made in recent years, they have rarely been shared amongst this broad community of researchers. This comprehensive 2010 overview begins with an easy introduction to the topic, assuming a minimum of prerequisites; but it is nevertheless theoretically sound and up to date. It is suitable for applied scientists, explaining all the necessary mathematics from scratch using a multitude of visualised examples, via matrices and graphs. It ends with tangible results on the research level. The author illustrates the theory and demonstrates practical tasks in operations research, social sciences and the humanities.
Codes and Automata
This major revision of Berstel and Perrin's classic Theory of Codes has been rewritten with a more modern focus and a much broader coverage of the subject. The concept of unambiguous automata, which is intimately linked with that of codes, now plays a significant role throughout the book, reflecting developments of the last 20 years. This is complemented by a discussion of the connection between codes and automata, and new material from the field of symbolic dynamics. The authors have also explored links with more practical applications, including data compression and cryptography. The treatment remains self-contained: there is background material on discrete mathematics, algebra and theoretical computer science. The wealth of exercises and examples make it ideal for self-study or courses. In summary, this is a comprehensive reference on the theory of variable-length codes and their relation to automata.
New Developments in Formal Languages and Applications
The theory of formal languages is widely recognized as the backbone of theoretical computer science, originating from mathematics and generative linguistics, among others. As a foundational discipline, formal language theory concepts and techniques are present in a variety of theoretical and applied fields of contemporary research which are concerned with symbol manipulation: discrete mathematics, bioinformatics, natural language processing, pattern recognition, text retrieval, learning, cryptography, compression, etc. This volume presents the main results of some recent, quickly developing subfields of formal language theory in an easily accessible way and provides the reader with extensive...
Graph Theory in Paris
In July 2004, a conference on graph theory was held in Paris in memory of Claude Berge, one of the pioneers of the field. The event brought together many prominent specialists on topics such as perfect graphs and matching theory, upon which Claude Berge's work has had a major impact. This volume includes contributions to these and other topics from many of the participants.
Dreams of a Dark Warrior
In this ninth installment in the wildly popular Immortals After Dark series from #1 New York Times bestselling paranormal romance author Kresley Cole, a woman must conceal her identity from her one true love—or risk losing him forever. He vowed he’d come for her… Murdered before he could wed Regin the Radiant, warlord Aidan the Fierce seeks his beloved through eternity, reborn again and again into new identities, yet with no memory of his past lives. She awaits his return… When Regin encounters Declan Chase, a brutal Celtic soldier, she recognizes her proud warlord reincarnated. But Declan takes her captive, intending retribution against all immortals—unaware that he belongs to their world. To sate a desire more powerful than death… Yet every reincarnation comes with a price, for Aidan is doomed to die when he remembers his past. To save herself from Declan’s torments, will Regin rekindle memories of the passion they once shared—even if it means once again losing the only man she could ever love?
