Mathematical Logic

Name: Mathematical Logic
Brand: Springer, Berlin
SKU: 9783030790127
Price: 11315 HUF
Availability: InStock

Exercises and Solutions

Szerző: Laszlo Csirmaz, Zalán Gyenis

Nyelv:

Kötés: Puha kötésű

Kiadó: Springer, Berlin

Elérhetőség: Beszállítói készleten

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This book gathers together a colorful set of problems on classical Mathematical Logic, selected from...

Információk a könyvről

Szerző

Laszlo Csirmaz, Zalán Gyenis

Nyelv

Angol

Kötés

Könyv - Puha kötésű

Kiadva

2023

oldal

319

EAN

9783030790127

Enbook ID

43049858

Kiadó

Springer, Berlin

Súly

628

Méretek

178 x 254

Teljes leírás

This book gathers together a colorful set of problems on classical Mathematical Logic, selected from over 30 years of teaching. The initial chapters start with problems from supporting fields, like set theory (ultrafilter constructions), full-information game theory (strategies), automata, and recursion theory (decidability, Kleene's theorems). The work then advances toward propositional logic (compactness and completeness, resolution method), followed by first-order logic, including quantifier elimination and the Ehrenfeucht- Fraïssé game; ultraproducts; and examples for axiomatizability and non-axiomatizability. The Arithmetic part covers Robinson's theory, Peano's axiom system, and Gödel's incompleteness theorems. Finally, the book touches universal graphs, tournaments, and the zero-one law in Mathematical Logic.Instructors teaching Mathematical Logic, as well as students who want to understand its concepts and methods, can greatly benefit from this work. The style and topics have been specially chosen so that readers interested in the mathematical content and methodology could follow the problems and prove the main theorems themselves, including Gödel's famous completeness and incompleteness theorems. Examples of applications on axiomatizability and decidability of numerous mathematical theories enrich this volume.

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Mathematical Logic

Exercises and Solutions

Információk a könyvről

Teljes leírás

Érdekelheti

Azok a vásárlók, akik ezt a könyvet megvásárolták, a következőket is megvásárolták