It is general consensus that Combinatorics has developed into a full-fledged mathematical discipline whose beginnings as a charming pastime have long since been left behind and whose great signifi- cance for other branches of both pure and applied mathematics is only beginning to be realized. The last ten years have witnessed a tremendous outburst of activity both in relatively new fields such as Coding Theory and the Theory of Matroids as well as in' more time honored endeavors such as Generating Functions and the Inver- sion Calculus. Although the number of text books on these subjects is...
It is general consensus that Combinatorics has developed into a full-fledged mathematical discipline whose beginnings as a charming pastime have long ...
Combinatorial enumeration is a readily accessible subject full of easily stated, but sometimes tantalizingly difficult problems. This book leads the reader in a leisurely way from the basic notions to a variety of topics, ranging from algebra to statistical physics. Its aim is to introduce the student to a fascinating field, and to be a source of information for the professional mathematician who wants to learn more about the subject. The book is organized in three parts: Basics, Methods, and Topics. There are 666 exercises, and as a special feature every chapter ends with a highlight,...
Combinatorial enumeration is a readily accessible subject full of easily stated, but sometimes tantalizingly difficult problems. This book leads th...
Robert Menasses These von der Sozialpartnerschaftlichen Asthetik ist neben Claudio Magris' "Habsburgischem Mythos" und "Tod des Nachsommers" von Ulrich Greiner der bekannteste Versuch, einen theoretischen Uberbau fur die osterreichische Literatur zu formulieren. Auch wenn Menasses These weitgehend schlussig argumentiert ist, drangen sich doch Fragen auf in Bezug auf die Wahl der Texte, die als Beleg dienen sollen. Es sind dies allesamt Werke, die eine Beweisfuhrung ohne grobere Probleme ermoglichen, wohingegen andere Texte ausgespart werden, auch wenn diesen in der osterreichischen...
Robert Menasses These von der Sozialpartnerschaftlichen Asthetik ist neben Claudio Magris' "Habsburgischem Mythos" und "Tod des Nachsommers" von Ulric...
Das Standardwerk uber Diskrete Mathematik in deutscher Sprache. Grosser Wert wird auf die Ubungen gelegt, die etwa ein Viertel des Textes ausmachen. Die Ubungen sind nach Schwierigkeitsgrad gegliedert, im Anhang findet man Losungen fur etwa die Halfte der Ubungen. Das Buch eignet sich fur Lehrveranstaltungen im Bereich Diskrete Mathematik, Kombinatorik, Graphen und Algorithmen
Das Standardwerk uber Diskrete Mathematik in deutscher Sprache. Grosser Wert wird auf die Ubungen gelegt, die etwa ein Viertel des Textes ausmachen. D...
Combinatorial enumeration is a readily accessible subject full of easily stated, but sometimes tantalizingly difficult problems. This book leads the reader in a leisurely way from the basic notions to a variety of topics, ranging from algebra to statistical physics. Its aim is to introduce the student to a fascinating field, and to be a source of information for the professional mathematician who wants to learn more about the subject. The book is organized in three parts: Basics, Methods, and Topics. There are 666 exercises, and as a special feature every chapter ends with a highlight,...
Combinatorial enumeration is a readily accessible subject full of easily stated, but sometimes tantalizingly difficult problems. This book leads th...
This book takes the reader on a mathematical journey, from a number-theoretic point of view, to the realm of Markov's theorem and the uniqueness conjecture, gradually unfolding many beautiful connections until everything falls into place in the proof of Markov's theorem.What makes the Markov theme so attractive is that it appears in an astounding variety of different fields, from number theory to combinatorics, from classical groups and geometry to the world of graphs and words.
On the way, there are also introductory forays into some fascinating topics that do not belong to the standard...
This book takes the reader on a mathematical journey, from a number-theoretic point of view, to the realm of Markov's theorem and the uniqueness co...
It is now generally recognized that the field of combinatorics has, over the past years, evolved into a fully-fledged branch of discrete mathematics whose potential with respect to computers and the natural sciences is only beginning to be realized. Still, two points seem to bother most authors: The apparent difficulty in defining the scope of combinatorics and the fact that combinatorics seems to consist of a vast variety of more or less unrelated methods and results. As to the scope of the field, there appears to be a growing consensus that combinatorics should be divided into three large...
It is now generally recognized that the field of combinatorics has, over the past years, evolved into a fully-fledged branch of discrete mathematics w...
In den letzten Jahren wurde ich immer haufiger von Studenten ge- fragt, warum sich ein mathematisches Gebiet gerade in dieser (meist in der Vorlesung vorgestellten) Weise entwickelt hat und nicht an- ders, was die hauptsachlichen Triebfedern waren, und wie es weiter- geht. Insbesondere interessierte, neben anderen Faktoren wie An- wendbarkeit oder Querverbindungen zu anderen Gebieten, die Rolle, welche die groen klassischen Probleme bei der Entwicklung einer Theorie spielten. Die kurzlich erfolgte ungewohnliche Losung des 4-Farben Problems war mir ein willkommener Anla, den genauen Einflu zu...
In den letzten Jahren wurde ich immer haufiger von Studenten ge- fragt, warum sich ein mathematisches Gebiet gerade in dieser (meist in der Vorlesung ...
