Discrete mathematics

Paul Erdos amava parlare del Libro in cui Dio conserva le dimostrazioni perfette per i teoremi matematici, seguendo il detto di G. H. Hardy secondo il quale non vi è posto perenne per la matematica brutta. Erdos disse anche che non è necessario credere in Dio, tuttavia in quanto matematici si deve credere nel Libro. Alcuni anni fa gli autori gli suggerirono di scrivere una prima (e assai modesta) approssimazione del Libro. Egli fu entusiasta e, come gli era peculiare,

Bei diskreten algebraischen Methoden handelt es sich um ein zukunftsweisendes Gebiet, dessen Grundlagen weiter an Bedeutung gewinnen werden. Die Grundidee des vorliegenden Lehrbuchs ist, wesentliche Elemente der diskreten Mathematik zu vermitteln, um die modernen Entwicklungen im Informationszeitalter kompetent mathematisch beurteilen zu können. Es beginnt mit einem allgemeinen Kapitel über algebraische Strukturen, welches die Grundlage für das gesamte Buch bereitstellt. Das folgende Ka

A solutions manual to accompany Finite Mathematics: Models and Applications

In order to emphasize the main concepts of each chapter, Finite Mathematics: Models and Applications features plentiful pedagogical elements throughout such as special exercises, end notes, hints, select solutions, biographies of key mathematicians, boxed key principles, a glossary of important terms and topics, and an overview of use of

Die Grundidee des vorliegenden Lehrbuchs ist, wesentliche Elemente der diskreten Mathematik zu vermitteln, um die modernen Entwicklungen im Informationszeitalter kompetent mathematisch beurteilen zu können. Hierzu gehören das Verständnis von Graphen, das Rechnen mit großen Zahlen und das Rechnen modulo n. Die Autoren beginnen mit einer Darstellung der elementaren Zahlentheorie. Insbesondere wird die Verschlüsselung mit dem RSA-Verfahren erläutert. Danach werden Absc

Willem Conradie is a senior lecturer in the Department of Mathematics at the University of Johannesburg, South Africa. For the past 9 years he has been teaching second and third year undergraduate courses based on drafts of the proposed book.

Valentin Goranko is an associate professor at the Department of Informatics and Mathematical Modeling of the Technical University of Denmark. His main research interests are in theo

Sebastian Goderbauer zeigt, dass das Einteilen von Wahlkreisen für die Deutsche Bundestagswahl aufgrund der gesetzlichen Vorgaben als ein mathematisches Optimierungsproblem angesehen werden kann. Er gibt eine detaillierte Komplexitätsanalyse des zugrundeliegenden Partitionsproblems an und untersucht, welches die beste Wahlkreisanzahl für Deutschland ist. Der Autor entwickelt einen optimierungsbasierten Algorithmus zum Einteilen von Wahlkreisen und wendet diesen auf deutsche Bevölkerungsdaten

Alexander Kheyfits, The City University of New York, USA.

Dieses essential bietet eine verständliche Einführung in die Kombinatorik und ihre Anwendungen. Nach einem Kapitel über Grundlagen mit der Klärung wichtiger Begriffe wie Menge, Multimenge, Partition und Permutation werden im zweiten Kapitel Methoden zum Zählen von Teilmengen unter verschiedenen Nebenbedingungen und entsprechende Anwendungen vorgestellt. Danach folgt die Approximation von Summen durch die Euler-Maclaurinsche Summenformel. Den Abschluss bildet ein Kapitel über die Method

Preface

1. Human Being in Marxian Materialism: Human Beings, Nature, and Relations of Production
2. Capitalism as a Commodity Producing Society: Quantitative Character of Capitalistic Production, and Capital as Self-valorizing Value
3. Capitalism as the Industrial Society: Qualitative Character of Capitalistic Production, and Capital as Self-Valorizing Value
4. The Growth and Death of Capitalism: Accumulation Theory, A New Quality Created by Quantity
5. The Distrib

Willem Conradie is a senior lecturer in the Department of Mathematics at the University of Johannesburg, South Africa. For the past 9 years he has been teaching second and third year undergraduate courses based on drafts of the proposed book.

Valentin Goranko is an associate professor at the Department of Informatics and Mathematical Modeling of the Technical University of Denmark. His main research interests are in theo

"This book is an excellent introduction to a lot of aspects of combinatorial theory, and I enjoyed reading it very much."
Herman J. Tiersma in: Zentralblatt für Mathematik 103572004

"This is a very well-written brief introduction to discrete mathematics that emphasizes logic and set theory and has shorter sections on number theory, combinatorics, and graph theory." (MAA Reviews, 4 January 2016)

"This is a very well-written brief introduction to discrete mathematics that emphasizes logic and set theory and has shorter sections on number theory, combinatorics, and graph theory." (MAA Reviews, 4 January 2016)

This book addresses the interplay between stochastic processes and partial differential equations. More specifically, it focuses on the connection between the nonlinear p-Laplace equation and the stochastic game called tug-of-war with noise. The connection in this context was discovered approximately 15 years ago and has since provided new insights and approaches. These lecture notes provide a brief but detailed and accessible introduction to the subject and to the more research-oriente

This SpringerBrief provides the first systematic review of the existing works of cohesive subgraph search (CSS) over large heterogeneous information networks (HINs). It also covers the research breakthroughs of this area, including models, algorithms and comparison studies in recent years. This SpringerBrief offers a list of promising future research directions of performing CSS over large HINs.

The authors first classify the existing works of CSS over HINs according to the classic cohe

Dalle origini a oggi, i videogiochi hanno dimostrato di aver acquisito una forte identità espressiva, delineando nuove forme di comunicazione e proponendo l’accesso a nuovi tipi di competenze legate alla sfera digitale dei New Media. L’evoluzione di questo prodotto dell’era dei computer è giunta al culmine: non si parla più di un tipo di gioco ma di un modo assolutamente nuovo di giocare e di interagire con gli altri attraverso la tecnologia. Tramite la creazione dei mondi virtuali in cui si

A solutions manual to accompany Finite Mathematics: Models and Applications

In order to emphasize the main concepts of each chapter, Finite Mathematics: Models and Applications features plentiful pedagogical elements throughout such as special exercises, end notes, hints, select solutions, biographies of key mathematicians, boxed key principles, a glossary of important terms and topics, and an overview of use of

Diese fünfte deutsche Auflage enthält ein ganz neues Kapitel über van der Waerdens Permanenten-Vermutung, sowie weitere neue, originelle und elegante Beweise in anderen Kapiteln.

Aus den Rezensionen:

“… es ist fast unmöglich, ein Mathematikbuch zu schreiben, das von jedermann gelesen und genossen werden kann, aber Aigner und Ziegler gelingt diese Meisterleistung in virtuosem Stil. […] Dieses Buch erweist der Mathematik einen unschätzbaren Dienst, indem es Nicht-Mathematikern