Dan Gusfield: Proven Impossible | Taschenbuch

Cover: 9781009349499 | Proven Impossible | Dan Gusfield | Taschenbuch | Englisch | 2024

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Sprache: Englisch

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Beschreibung

In mathematics, it simply is not true that 'you can't prove a negative'. Many revolutionary impossibility theorems reveal profound properties of logic, computation, fairness and the universe, and form the mathematical background of new technologies and Nobel prizes. But to fully appreciate these theorems and their impact on mathematics and beyond, you must understand their proofs. This book is the first to present these proofs for a broad, lay audience. It fully develops the simplest rigorous proofs found in the literature, reworked to contain less jargon and notation, and more background, intuition, examples, explanations, and exercises. Amazingly, all of the proofs in this book involve only arithmetic and basic logic - and are elementary, starting only from first principles and definitions. Very little background knowledge is required, and no specialized mathematical training - all you need is the discipline to follow logical arguments and a pen in your hand.

Über den Autor

Dan Gusfield is Distinguished Professor emeritus, and former department chair, in the Computer Science Department at University of California, Davis. He is a Fellow of the ACM, the IEEE, and the ISCB. His previous books are 'The Stable Marriage Problem' (1989, co-authored with Rob Irving); 'Strings, Trees and Sequences' (1997); 'ReCombinatorics' (2014); and 'Integer Linear Programming in Computational and Systems Biology' (2019). As this book reflects, his teaching emphasized mathematical rigor as well as accessibility and clarity. He produced over 100 hours of video lectures on a wide range of topics, now viewed over a million times on the web.

Inhaltsverzeichnis

Preface; 1. Yes you can prove a negative!; 2. Bell's impossibility theorem(s); 3. Enjoying Bell magic; 4. Arrow's (and friends') impossibility theorems; 5. Clustering and impossibility; 6. Gödel-ish impossibility; 7. Turing undecidability and incompleteness; 8. Chaitin's theorem: More devastating; 9. Gödel (for real, this time).

Erscheinungsjahr:	2024
Fachbereich:	Populäre Darstellungen
Genre:	Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
ISBN-13:	9781009349499
ISBN-10:	100934949X
Sprache:	Englisch
Einband:	Kartoniert / Broschiert
Autor:	Gusfield, Dan
Hersteller:	Cambridge University Pr.
Abbildungen:	Worked examples or Exercises
Maße:	228 x 154 x 22 mm
Von/Mit:	Dan Gusfield
Erscheinungsdatum:	18.01.2024
Gewicht:	0,441 kg

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