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"Dieses Buch stellt mit möglichst wenig mathematischen Hilfsmitteln die wesentlichen Grundbegriffe und Konzepte der Theorie fehlerkorrigierender Codes in der Datenübertragung dar. Alle historisch und für Praxisanwendungen wichtigen Klassen und Familien von Codes werden explizit konstruiert; dies beinhaltet auch deren Rate und Minimalabstand. Außerdem werden die wesentlichen Decodieralgorithmen beschrieben. Die Darstellung orientiert sich dabei an den zugehörigen ""Meilensteinen"" in der Geschichte der Codierungstheorie. Besonderer Wert gelegt wird außerdem auf die Vermittlung der Art und Weise, wie diese Codes in der Praxis angewandt werden. Das Buch eignet sich für Studierende im mathematisch-technischen Bereich an Fachhochschulen und Universitäten (z.B. in Proseminaren), auch für die MINT-Lehrerfortbildung und andere Weiterbildungsveranstaltungen für interessierte Anwender, Schüler und Senioren. "

Schlaflosigkeit, abwesender Blick oder unkontrollierter Wurschtel-Drang: Die klassischen Symptome der sogenannten Promo-Viren können Doktoranden stark in Mitleidenschaft ziehen. Auch neue Varianten der Krankheit treten auf. Bei der „externen Doktoritis“ beispielsweise leiden die Erkrankten oft unter Vereinsamung. Die „kumulative Doktoritis“ verläuft in starken Schüben. Noch ungewöhnlicher ist der neue „Virus Plagiatus“, eine seltene Krankheit, bei der die Betroffenen nicht wirklich infiziert sind, aber dennoch mit allen Symptomen des promotionalen Infekts kämpfen. Das Autorenteam um den Herausgeber Dr. (!) Thomas Meuser deckt in diesem Buch auf Basis eigener Feldforschung schonungslos offen das wahre Krankheitsbild von Promovierenden auf. Ob komplizierte Gemütslagen, Niederlagen, Zwangslagen oder aussichtslose Lagen: Kein Thema wird tabuisiert. Die 3., kurierte Auflage des erstmals 1994 erschienenen Klassikers der Promotionslehre erzählt humorvoll, emotional und wissenschaftlich nicht immer einwandfrei aus dem aufreibenden Leben der Promo-Viren-Infizierten. Die gute Nachricht an dieser Stelle vorab: Eine Genesung ist höchstwahrscheinlich. Und danach folgt das ruhmreiche Leben als Titelträger. "Eine anregende Lektüre für alle, die sich gerade mit der Absicht zur Promotion tragen; alle, die sie gerade durchleben und durchleiden; alle, die im Umfeld von Infizierten leben (müssen) und alle, die sich bereits auf dem Wege der Besserung befinden" (Allgemeiner Hochschulanzeiger der Frankfurter Allgemeinen Zeitung)

"The purpose of coding theory is the design of efficient systems for the transmission of information. The mathematical treatment leads to certain finite structures: the error-correcting codes. Surprisingly problems which are interesting for the design of codes turn out to be closely related to problems studied partly earlier and independently in pure mathematics. This book is about an example of such a connection: the relation between codes and lattices. Lattices are studied in number theory and in the geometry of numbers. Many problems about codes have their counterpart in problems about lattices and sphere packings. We give a detailed introduction to these relations including recent results of G. van der Geer and F. Hirzebruch. Let us explain the history of this book. In [LPS82] J. S. Leon, V. Pless, and N. J. A. Sloane considered the Lee weight enumerators of self-dual codes over the prime field of characteristic 5. They wrote in the introduction to their paper: ""The weight enumerator of anyone of the codes . . . is strongly constrained: it must be invariant under a three-dimensional representation of the icosahedral group. These invariants were already known to Felix Klein, and the consequences for coding theory were discovered by Gleason and Pierce (and independently by the third author) . . . (It is worth mentioning that precisely the same invariants have recently been studied by Hirzebruch in connection with cusps of the Hilbert modular surface associated with Q( J5)."

"Approach your problems from the right end It isn't that they can't see the solution. It is and begin with the answers. Then one day. that they can't see the problem. perhaps you will find the final question. G. K. Chesterton. The Scandal of Father 'The Hermit Clad in Crane Feathers' in R. Brown 'The point of a Pin'. van Gulik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the ""tree"" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering: and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging subdisciplines as ""experimental mathematics"", ""CFD"", ""completely integrable systems"", ""chaos, synergetics and large-scale order"", which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics."

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