Kategoria BISAC: Mathematics >> Discrete Mathematics

An impressive collection of original research papers in discrete and computational geometry, contributed by many leading researchers in these fields, as a tribute to Jacob E. Goodman and Richard Pollack, two of the 'founding fathers' of the area, on the occasion of their 2/3 x 100 birthdays. The topics covered by the 41 papers provide professionals and graduate students with a comprehensive presentation of the state of the art in most aspects of discrete and computational geometry, including geometric algorithms, study of arrangements, geometric graph theory, quantitative and algorithmic...

In mathematics, "buildings" are geometric structures that represent groups of Lie type over an arbitrary field. This concept is critical to physicists and mathematicians working in discrete mathematics, simple groups, and algebraic group theory, to name just a few areas.

Almost twenty years after its original publication, Mark Ronan's "Lectures on Buildings" remains one of the best introductory texts on the subject. A thorough, concise introduction to mathematical buildings, it contains problem sets and an excellent bibliography that will prove invaluable to students new to the field....

Diese grundlegende Einfuhrung in die Analysis wendet sich an Informatiker im ersten Studienabschnitt. Um speziell auf die Bedurfnisse des Informatikstudiums einzugehen, haben die Autoren diesem Werk folgende Konzepte zugrunde gelegt: Algorithmischer Zugang, schlanke Darstellung, Software als integrativer Bestandteil, Betonung von Modellbildung und Anwendungen der Analysis. Der Gegenstand des Buches liegt im Spannungsfeld zwischen Mathematik, Informatik und Anwendungen. Hier kommt dem algorithmischen Denken ein hoher Stellenwert zu. Der gewahlte Zugang beinhaltet: Entwicklung der Grundlagen...

The algorithms considered are the basic and traditional algorithms of computer science, such as Greedy, Dynamic and Divide & Conquer. In addition, two classes of algorithms that rarely make it into introductory textbooks are...

Filling a gap in literature, this self-contained book presents theoretical and application-oriented results that allow for a structural exploration of complex networks. The work focuses not only on classical graph-theoretic methods, but also demonstrates the usefulness of structural graph theory as a tool for solving interdisciplinary problems. Applications to biology, chemistry, linguistics, and data analysis are emphasized.

The book is suitable for a broad, interdisciplinary readership of researchers, practitioners, and graduate students in discrete mathematics, statistics,...

Networks play a central role in today's society, since many sectors employing information technology, such as communication, mobility, and transport - even social interactions and political activities - are based on and rely on networks. In these times of globalization and the current global financial crisis with its complex and nearly incomprehensible entanglements of various structures and its huge effect on seemingly unrelated institutions and organizations, the need to understand large networks, their complex structures, and the processes governing them is becoming more and more...

Algorithmic discrete mathematics plays a key role in the development of information and communication technologies, and methods that arise in computer science, mathematics and operations research - in particular in algorithms, computational complexity, distributed computing and optimization - are vital to modern services such as mobile telephony, online banking and VoIP.

This book examines communication networking from a mathematical viewpoint. The contributing authors took part in the European COST action 293 - a four-year program of multidisciplinary research on this...